From e2dd7ea16bda26158456d26186fc3b90a3cbfbce Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:06:29 +0800 Subject: [PATCH 1/8] modify --- source/test1.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/source/test1.md b/source/test1.md index a7aa88b..58b9aa0 100644 --- a/source/test1.md +++ b/source/test1.md @@ -1,5 +1,5 @@ # 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 +> 第13屆iT邦幫忙鐵人賽 v0.1 From 5ba9e5b6da8a8d2406757196352e7a8a79ddc9ad Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:12:45 +0800 Subject: [PATCH 2/8] 0.2.1 --- source/test1.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/source/test1.md b/source/test1.md index 58b9aa0..303b131 100644 --- a/source/test1.md +++ b/source/test1.md @@ -1,5 +1,5 @@ # 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 v0.1 +> 第13屆iT邦幫忙鐵人賽 v0.2.1 From 564fe24522b1545cf2ce7d40f41fc662b6ed645e Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:25:09 +0800 Subject: [PATCH 3/8] add all --- 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similarity index 100% rename from "sourcesss/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" rename to "source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" diff --git a/source/index.rst b/source/index.rst index 3930c38..5688961 100644 --- a/source/index.rst +++ b/source/index.rst @@ -8,15 +8,26 @@ Welcome to pdmdocs's documentation! .. toctree:: :maxdepth: 3 - :caption: ch1: + :caption: 第一部分 AI基礎概念: + + 1.全民瘋AI系列2.0目標介紹/README + 2.快來探索AI的世界/README + 3.你真了解資料嗎試試看視覺化分析吧/README + 4.咱們一起做資料清理和前處理/README + 5.機器學習大補帖/README - test1 - .. toctree:: :maxdepth: 3 - :caption: ch2: + :caption: 第二部分 機器學習入門: + + 6.非監督式學習k-means分群/README + 7.非監督式學習-降維/README + 8.線性迴歸/README + 9.邏輯迴歸/README + 10.KNN/README + 11.SVM/README + 12.決策樹/README - ch1/test2 diff --git a/source/ch1/test2.md b/sourceaa/ch1/test2.md similarity index 100% rename from source/ch1/test2.md rename to sourceaa/ch1/test2.md diff --git a/sourcesss/conf.py b/sourceaa/conf.py similarity index 70% rename from sourcesss/conf.py rename to sourceaa/conf.py index dbb3adc..05a7b65 100644 --- a/sourcesss/conf.py +++ b/sourceaa/conf.py @@ -28,21 +28,14 @@ latex_engine = 'xelatex' +latex_use_xindy = False latex_elements = { - 'papersize': 'a4paper', - 'pointsize': '12pt', 'preamble': r''' \usepackage{xeCJK} -​ -\setCJKmainfont[BoldFont=STZhongsong, ItalicFont=STKaiti]{STSong} -\setCJKsansfont[BoldFont=STHeiti]{STXihei} -\setCJKmonofont{STFangsong} -\XeTexlinebreaklocale "zh" -\XeTexlinebreakskip = Opt plus 1pt -\parindent 2em -\definecolor (VerbatimColor}{rgb}{0.95,0.95,0.95) -\setcounter{tocdepth}{3} \renewcommand\familydefault{\ttdefault} -\renewcommand\CJKfamilydefault{\CJKrmdefault} -​ +\setCJKmainfont[BoldFont=Noto Sans CJK TC, ItalicFont=Noto Serif CJK TC]{Noto Sans CJK TC} +\setCJKsansfont{Noto Sans CJK TC} +\setCJKmonofont{Noto Sans Mono CJK TC} +\XeTeXlinebreaklocale "zh" +\XeTeXlinebreakskip = 0pt plus 1pt ''', } \ No newline at end of file diff --git a/sourceaa/index.rst b/sourceaa/index.rst new file mode 100644 index 0000000..3930c38 --- /dev/null +++ b/sourceaa/index.rst @@ -0,0 +1,28 @@ +.. pdmdocs documentation master file, created by + sphinx-quickstart on Wed Aug 14 12:39:13 2024. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +Welcome to pdmdocs's documentation! +=================================== + +.. toctree:: + :maxdepth: 3 + :caption: ch1: + + test1 + +.. toctree:: + :maxdepth: 3 + :caption: ch2: + + ch1/test2 + + + +Indices and tables +================== + +* :ref:`genindex` +* :ref:`modindex` +* :ref:`search` diff --git a/source/test1.md b/sourceaa/test1.md similarity index 100% rename from source/test1.md rename to sourceaa/test1.md diff --git a/sourcesss/index.rst b/sourcesss/index.rst deleted file mode 100644 index 5688961..0000000 --- a/sourcesss/index.rst +++ /dev/null @@ -1,39 +0,0 @@ -.. pdmdocs documentation master file, created by - sphinx-quickstart on Wed Aug 14 12:39:13 2024. - You can adapt this file completely to your liking, but it should at least - contain the root `toctree` directive. - -Welcome to pdmdocs's documentation! -=================================== - -.. toctree:: - :maxdepth: 3 - :caption: 第一部分 AI基礎概念: - - 1.全民瘋AI系列2.0目標介紹/README - 2.快來探索AI的世界/README - 3.你真了解資料嗎試試看視覺化分析吧/README - 4.咱們一起做資料清理和前處理/README - 5.機器學習大補帖/README - -.. toctree:: - :maxdepth: 3 - :caption: 第二部分 機器學習入門: - - 6.非監督式學習k-means分群/README - 7.非監督式學習-降維/README - 8.線性迴歸/README - 9.邏輯迴歸/README - 10.KNN/README - 11.SVM/README - 12.決策樹/README - - - - -Indices and tables -================== - -* :ref:`genindex` -* :ref:`modindex` -* :ref:`search` From 50ccd04310d5d0469bad013313672e6cde0496f8 Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:47:23 +0800 Subject: [PATCH 4/8] 0.2.2 --- .../ch1/image/img2-1.png | Bin .../ch1/image/img2-10.png | Bin .../ch1/image/img2-2.png | Bin .../ch1/image/img2-3.png | Bin .../ch1/image/img2-4.png | Bin 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source/ch1/test2.md diff --git "a/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" b/source/image/img1-1.jpg similarity index 100% rename from "source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" rename to source/image/img1-1.jpg diff --git a/source/index.rst b/source/index.rst index 5688961..3930c38 100644 --- a/source/index.rst +++ b/source/index.rst @@ -8,26 +8,15 @@ Welcome to pdmdocs's documentation! .. toctree:: :maxdepth: 3 - :caption: 第一部分 AI基礎概念: - - 1.全民瘋AI系列2.0目標介紹/README - 2.快來探索AI的世界/README - 3.你真了解資料嗎試試看視覺化分析吧/README - 4.咱們一起做資料清理和前處理/README - 5.機器學習大補帖/README + :caption: ch1: + test1 + .. toctree:: :maxdepth: 3 - :caption: 第二部分 機器學習入門: - - 6.非監督式學習k-means分群/README - 7.非監督式學習-降維/README - 8.線性迴歸/README - 9.邏輯迴歸/README - 10.KNN/README - 11.SVM/README - 12.決策樹/README + :caption: ch2: + ch1/test2 diff --git a/sourceaa/test1.md b/source/test1.md similarity index 100% rename from sourceaa/test1.md rename to source/test1.md diff --git a/sourceaa/index.rst b/sourceaa/index.rst deleted file mode 100644 index 3930c38..0000000 --- a/sourceaa/index.rst +++ /dev/null @@ -1,28 +0,0 @@ -.. pdmdocs documentation master file, created by - sphinx-quickstart on Wed Aug 14 12:39:13 2024. - You can adapt this file completely to your liking, but it should at least - contain the root `toctree` directive. - -Welcome to pdmdocs's documentation! -=================================== - -.. toctree:: - :maxdepth: 3 - :caption: ch1: - - test1 - -.. toctree:: - :maxdepth: 3 - :caption: ch2: - - ch1/test2 - - - -Indices and tables -================== - -* :ref:`genindex` -* :ref:`modindex` -* :ref:`search` diff --git "a/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" 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"a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216?\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247!.ipynb" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216?\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247!.ipynb" similarity index 100% rename from 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"a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-1.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-1.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-1.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-1.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-10.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-10.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-10.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-10.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-11.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-11.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-11.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-11.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-2.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-2.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-2.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-2.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-3.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-3.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-3.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-3.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-4.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-4.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-4.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-4.png" diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-5.png" "b/sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-5.png" similarity index 100% rename from "source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-5.png" rename to "sourcedf/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-5.png" diff --git 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similarity index 100% rename from "source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" rename to "sourcedf/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" diff --git a/sourceaa/conf.py b/sourcedf/conf.py similarity index 100% rename from sourceaa/conf.py rename to sourcedf/conf.py diff --git a/sourcedf/index.rst b/sourcedf/index.rst new file mode 100644 index 0000000..5688961 --- /dev/null +++ b/sourcedf/index.rst @@ -0,0 +1,39 @@ +.. pdmdocs documentation master file, created by + sphinx-quickstart on Wed Aug 14 12:39:13 2024. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +Welcome to pdmdocs's documentation! +=================================== + +.. toctree:: + :maxdepth: 3 + :caption: 第一部分 AI基礎概念: + + 1.全民瘋AI系列2.0目標介紹/README + 2.快來探索AI的世界/README + 3.你真了解資料嗎試試看視覺化分析吧/README + 4.咱們一起做資料清理和前處理/README + 5.機器學習大補帖/README + +.. toctree:: + :maxdepth: 3 + :caption: 第二部分 機器學習入門: + + 6.非監督式學習k-means分群/README + 7.非監督式學習-降維/README + 8.線性迴歸/README + 9.邏輯迴歸/README + 10.KNN/README + 11.SVM/README + 12.決策樹/README + + + + +Indices and tables +================== + +* :ref:`genindex` +* :ref:`modindex` +* :ref:`search` From 72d71d269051e3634a589d7582caf4fe45a73d82 Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:51:57 +0800 Subject: [PATCH 5/8] 0.2.3 --- source/ch1/test2.md | 21 +++++++++++---------- source/test1.md | 4 ++-- 2 files changed, 13 insertions(+), 12 deletions(-) diff --git a/source/ch1/test2.md b/source/ch1/test2.md index 8b63688..510b3b9 100644 --- a/source/ch1/test2.md +++ b/source/ch1/test2.md @@ -4,12 +4,13 @@ - 人工智慧的分級 - 機器是如何學習的 + ## 人工智慧的演進 AI 與機器學習技術正在蓬勃發展中,你能想像人工智慧曾被認為是一個毫無出路的領域嗎? 從人工智慧的時間軸來看可以分為三個熱潮。第一次熱潮(1950~1960年),由於早期的電腦硬體資源的不足導致複雜的問題無法輕易的解決。第二次熱潮(1980~1990年)將帶有知是本體的代理人放入機器人中使具有智慧,也就是所謂的專家系統。但人類資源有限不可能把所有的知識都逐一地輸入到電腦。因此大家開始思考機器是否能夠讓他自己去學習?而不是人類一昧的餵入這些知識。第三次熱潮(2000年~現在)由於 CPU、GPU 以及雲端運算資源普及,早期複雜難解的演算法陸續可以透過超級電腦來解決。當手邊有了大量的數據就能拿來機器學習,因此大家踏入了大數據以及深度學習的時代。時間不斷的往前走,你能想像未來的 AI 在世界上是扮演什麼樣的角色嗎? - +![](./image/img2-1.png) ## 人工智慧的分級 @@ -18,12 +19,12 @@ AI 與機器學習技術正在蓬勃發展中,你能想像人工智慧曾被 ### 第一級人工智慧:自動控制 機器含有自動控制的功能,並且經由感測器偵測環境的資訊。例如透過溫度感測器來偵測產線的馬達是否過熱,並達到停止運轉效果。或是冷氣低於20度時就進入待機模式……等。因此程式設計師必須先把所有可能的情況都考慮進去才能寫出控制程式。這就衍伸出一些問題,像是靈活度不高,且需要有經驗的專家介入才能完成。 - +![](./image/img2-2.png) ### 第二級人工智慧:探索推論 第二級逐漸開始強調邏輯推理,可以說是補足第一級的問題。透過將知識組織成知識本體並讓機器從現有的資訊中去推理。典型的例子就是專家系統,它是透過特定領域的專家訂定出一套知識庫與規則庫,並產生大量輸入與輸出資料的排列組合來解決日常生活中的問題。當然所謂的專家系統就必須邀請領域的專家為系統量身打造一套獨一無二的規則。然而每個人的觀點可能都不同,因此不同專家間所制定的規則可能都不太一樣。 - +![](./image/img2-3.png) ### 第三級人工智慧:機器學習 機器可以根據資料學習如何將輸入與輸出資料產生關聯。機器學習是一種學習的演算法,並從資料中去學習並找出問題的解決方法。其應用包括搜尋引擎、大數據分析等。我們依據資料與學習方式可大致分為監督式學習、非監督式學習、增強式學習,此外自監督學習這個名詞最近也熱烈的討論中。 @@ -31,38 +32,38 @@ AI 與機器學習技術正在蓬勃發展中,你能想像人工智慧曾被 ### 第四級人工智慧:深度學習 深度學習是一種機器學習的方法。它藉由模仿人類大腦神經元的結構,定義解決問題的函式。所謂深度學習是一種具有深度多層的神經網路。機器可以自行學習並且理解機器學習時用以表示資料的「特徵」,因此又稱為「特徵表達學習」,其應用包括:影像分類、機器翻譯...等。 - +![](./image/img2-4.png) ## 機器如何學習? ### 監督式學習 (Supervised Learning) 所謂的監督式學習是給許多資料並給與答案,透過損失函數計算來找出一個最佳解。舉一個簡單的例子,比如給機器各看了 1000 張貓和狗的照片後再詢問機器新的一張照片中是貓還是狗。一直不斷的迭代訓練並從錯誤中去學習,最終機器能成功的分類了。 - +![](./image/img2-5.png) ### 非監督式學習 (Unsupervised Learning) 非監督式學習只給定特徵,機器會想辦法會從中找出規律。非監督式學習最常見的方法就是集群分析(Cluster Analysis),目標是根據特徵將資料樣本分為幾群。簡單來說非監督式學習就是給許多資料但不給予答案,模型會從資料中自己去找出關係。透過分群演算法來計算資料與資料間的相似程度與距離。 - +![](./image/img2-6.png) ### 半監督式學習 (Semi-Supervised Learning) 介於監督式學習與非監督式學習之間。在現實生活中,未標記樣本多、有標記樣本少是一個比價普遍現象,如何利用好未標記樣本來提升模型泛化能力,就是半監式督學習研究的重點。半監式督學習的應用主要在於收集資料很簡單,但標記的資料太少了,我們希望可以自動標記資料。 - +![](./image/img2-7.png) ### 強化式學習 (Reinforcement Learning) 在強化式學習中機器會進行一系列的動作,而每做一個動作、環境都會跟著發生變化。若環境的變化是離目標更接近,我們就會給予一個正向反饋。若離目標更遠,則給予負向反饋。機器透過不斷的從錯誤中去學習,最終學到了如何去解決一件事情。 - +![](./image/img2-8.png) ### 自監督學習 (Self-Supervised Learning) 自監督學習是由卷積神經之父 Yann LeCun 於 2019 年所提出來的一種學習機制。此學習機制模仿模仿人類的學習行為,透過當前任務觀察所得到的特徵,並訓練一個目標任務的模型。而且學習過程中並不仰賴人類給定的標籤。簡單來說訓練過程是拿一個訓練好的模型透過非監督式技巧 pre-text task 訓練好模型,訓練完成後再接到下游任務做最後的模型微調 (fine tune)。 - +![](./image/img2-9.png) ## 學 AI 該用哪種程式語言? Python 是近年來高速成長並且逐漸普及的程式語言,也可以說是最容易上手的程式語言之一。主要在於它的語法是簡化而不複雜的,同時強調程式碼的可讀性因此更能貼近程式設計者的思維。當然也些人使用 R 語言進行統計分析、繪圖以及資料探勘甚至建模。如果你正在猶豫要入坑哪一類程式語言,筆者這裡推薦 Python 程式語言。因為 Python 不僅可以進行資料分析、機器學習也能進行前/後端開發。另外 Python 有豐富的討論社群以及許多開源套件支援,大幅的降低學習門檻。 - +![](./image/img2-10.png) 說了這麼多!大家準備好了嗎?快準備好電腦與筆記本,好好的為自己進行三十天的充電吧~ Let's Go! diff --git a/source/test1.md b/source/test1.md index 303b131..1f4386a 100644 --- a/source/test1.md +++ b/source/test1.md @@ -1,5 +1,5 @@ # 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 v0.2.1 +> 第13屆iT邦幫忙鐵人賽 v0.2.3 @@ -7,7 +7,7 @@ 哈囉大家好我是10程式中的10!我是[上一屆](https://ithelp.ithome.com.tw/users/20107247/ironman/3719)鐵人賽影片教學組`全民瘋AI系列`的作者,當時講解了人工智慧的基礎以及常見的機器學習演算法與手把手教學。由於大家反應很熱烈,讓我看到了大家對於AI的學習熱忱。也因為上一屆獲得了影片教學組優選,收到了許多書商的出版邀請,由於我沒有時間與動力將這些大量知識寫成文章因此都婉拒了。因此我想藉由這一次鐵人賽將上一屆的影片內容整理成電子書版本,提供大家影片教學與文字版的筆記內容(唷呼書商快看過來~)當然內容會以之前影片教學為基底,並加入一些新的元素讓文章內容變得更紮實。在全新的`全民瘋AI系列2.0`中我會介紹實用的機器學習演算法並含有程式手把手實作,以及近年來熱門的機器學習套件與模型調參技巧。除此之外我還會提到大家最感興趣的 AI 模型落地與整合。希望在這次的鐵人賽能夠將AI的資源整理得更詳細並分享給各位。 - +![](./image/img1-1.jpg) ## 此系列教學適合誰? 如果您是之前的舊讀者,歡迎回來為自己充電~新的系列文章保證讓你收穫滿滿!若您是新來的讀者歡迎加入人工智慧的世界,此系列文章正適合初學者閱讀。另外建議可以搭配我[上一屆](https://ithelp.ithome.com.tw/users/20107247/ironman/3719)鐵人賽的影片教學進行學習。 From 761a01c1020b2835e2fb78f560e2341d84eb8dda Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Mon, 19 Aug 2024 22:59:52 +0800 Subject: [PATCH 6/8] 0.2.3 --- source/test1.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/source/test1.md b/source/test1.md index 1f4386a..f0a918c 100644 --- a/source/test1.md +++ b/source/test1.md @@ -1,5 +1,5 @@ # 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 v0.2.3 +> 第13屆iT邦幫忙鐵人賽 v0.2.3. 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"a/sourcedf/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" "b/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" similarity index 99% rename from "sourcedf/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" rename to "source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" index f6d8c19..5541b8d 100644 --- "a/sourcedf/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" +++ "b/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" @@ -1,5 +1,5 @@ # 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 +> 第13屆iT邦幫忙鐵人賽 v0.2.4 diff --git a/source/image/img1-1.jpg "b/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" similarity index 100% rename from source/image/img1-1.jpg rename to "source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" diff --git a/sourcedf/10.KNN/10.1.KNN(Classification-iris).ipynb b/source/10.KNN/10.1.KNN(Classification-iris).ipynb similarity index 100% rename from sourcedf/10.KNN/10.1.KNN(Classification-iris).ipynb rename to source/10.KNN/10.1.KNN(Classification-iris).ipynb diff --git a/sourcedf/10.KNN/10.2.KNN(Regression).ipynb b/source/10.KNN/10.2.KNN(Regression).ipynb similarity index 100% rename from sourcedf/10.KNN/10.2.KNN(Regression).ipynb rename to source/10.KNN/10.2.KNN(Regression).ipynb diff --git a/sourcedf/10.KNN/README.md b/source/10.KNN/README.md similarity index 99% rename from sourcedf/10.KNN/README.md rename to source/10.KNN/README.md index 5a608f9..0c1f175 100644 --- a/sourcedf/10.KNN/README.md +++ b/source/10.KNN/README.md @@ -40,7 +40,7 @@ KNN 同時也能運用在迴歸問題上面。迴歸模型輸出的結果是一 ## KNN 與 k-means 勿混淆 KNN 的缺點是對資料的局部結構非常敏感,因此調整適當的 k 值極為重要。另外大家很常將 KNN 與 K-means 混淆,雖然兩者都有 k 值要設定但其實兩者無任何關聯。KNN 的 k 是設定鄰居的數量採多數決作為輸出的依據。而 K-means 的 k 是設定集群的類別中心點數量。 -![](./image/img10-5.gif) + ## [程式實作] ## KNN 分類器 diff --git a/sourcedf/10.KNN/image/img10-1.png b/source/10.KNN/image/img10-1.png similarity index 100% rename from sourcedf/10.KNN/image/img10-1.png rename to source/10.KNN/image/img10-1.png diff --git a/sourcedf/10.KNN/image/img10-2.png b/source/10.KNN/image/img10-2.png similarity index 100% rename from sourcedf/10.KNN/image/img10-2.png rename to source/10.KNN/image/img10-2.png diff --git a/sourcedf/10.KNN/image/img10-3.png b/source/10.KNN/image/img10-3.png similarity index 100% rename from sourcedf/10.KNN/image/img10-3.png rename to source/10.KNN/image/img10-3.png diff --git a/sourcedf/10.KNN/image/img10-4.png 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"source/8.\347\267\232\346\200\247\350\277\264\346\255\270/8.\347\267\232\346\200\247\350\277\264\346\255\270.ipynb" diff --git "a/sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" "b/source/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" similarity index 99% rename from "sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" rename to "source/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" index 1a34138..56c9710 100644 --- "a/sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" +++ "b/source/8.\347\267\232\346\200\247\350\277\264\346\255\270/README.md" @@ -220,7 +220,7 @@ plt.legend(loc='best') 此外這個模型如果透過梯度下降法還有一個缺點,那就是當我們的損失函數不是一個凸函數(convex function) 的時候它就會存在許多個最低點,進而導致在我們選擇不同的 β0 和 β1 作為初始值的時候很可能會收斂於不同的局部最佳解(local optimum)。也就是說我們求得的最佳的模型很有機會是局部最佳解而不是全局最佳解(global optimum)。 -![](./image/img8-12.gif) + ## 使用 Sklearn SGDRegressor Sklearn 提供了 SGDRegressor 並實現了隨機梯度下降學習。你可能會問梯度下降與隨機梯度下降兩者差別在哪?簡單來說一般的梯度下降法是一次用全部訓練集的數據計算損失函數的梯度,然後做一次參數的更新修正。而隨機梯度下降法就是一次跑一個樣本或是小批次樣本,然後算出一次梯度並更新。而所謂的隨機就是在訓練過程中隨機地抽取樣本,所以才會稱為隨機梯度下降法。 diff --git "a/sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-1.png" "b/source/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-1.png" similarity index 100% rename from "sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-1.png" rename to "source/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-1.png" diff --git "a/sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-10.png" "b/source/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-10.png" similarity index 100% rename from "sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-10.png" rename to "source/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-10.png" diff --git "a/sourcedf/8.\347\267\232\346\200\247\350\277\264\346\255\270/image/img8-11.png" 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"a/sourcedf/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-6.png" "b/source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-6.png" similarity index 100% rename from "sourcedf/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-6.png" rename to "source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-6.png" diff --git "a/sourcedf/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" "b/source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" similarity index 100% rename from "sourcedf/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" rename to "source/9.\351\202\217\350\274\257\350\277\264\346\255\270/image/img9-7.png" diff --git a/source/index.rst b/source/index.rst index 3930c38..5688961 100644 --- a/source/index.rst +++ b/source/index.rst @@ -8,15 +8,26 @@ Welcome to pdmdocs's documentation! .. toctree:: :maxdepth: 3 - :caption: ch1: + :caption: 第一部分 AI基礎概念: + + 1.全民瘋AI系列2.0目標介紹/README + 2.快來探索AI的世界/README + 3.你真了解資料嗎試試看視覺化分析吧/README + 4.咱們一起做資料清理和前處理/README + 5.機器學習大補帖/README - test1 - .. toctree:: :maxdepth: 3 - :caption: ch2: + :caption: 第二部分 機器學習入門: + + 6.非監督式學習k-means分群/README + 7.非監督式學習-降維/README + 8.線性迴歸/README + 9.邏輯迴歸/README + 10.KNN/README + 11.SVM/README + 12.決策樹/README - ch1/test2 diff --git "a/sourcedf/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/image/img2-1.png" b/sourceaa/ch1/image/img2-1.png similarity index 100% rename from "sourcedf/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/image/img2-1.png" rename to sourceaa/ch1/image/img2-1.png diff --git "a/sourcedf/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/image/img2-10.png" b/sourceaa/ch1/image/img2-10.png similarity index 100% rename from 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documentation master file, created by + sphinx-quickstart on Wed Aug 14 12:39:13 2024. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +Welcome to pdmdocs's documentation! +=================================== + +.. toctree:: + :maxdepth: 3 + :caption: ch1: + + test1 + +.. toctree:: + :maxdepth: 3 + :caption: ch2: + + ch1/test2 + + + +Indices and tables +================== + +* :ref:`genindex` +* :ref:`modindex` +* :ref:`search` diff --git a/source/test1.md b/sourceaa/test1.md similarity index 100% rename from source/test1.md rename to sourceaa/test1.md diff --git a/sourcedf/index.rst b/sourcedf/index.rst deleted file mode 100644 index 5688961..0000000 --- a/sourcedf/index.rst +++ /dev/null @@ -1,39 +0,0 @@ -.. pdmdocs documentation master file, created by - sphinx-quickstart on Wed Aug 14 12:39:13 2024. - You can adapt this file completely to your liking, but it should at least - contain the root `toctree` directive. - -Welcome to pdmdocs's documentation! -=================================== - -.. toctree:: - :maxdepth: 3 - :caption: 第一部分 AI基礎概念: - - 1.全民瘋AI系列2.0目標介紹/README - 2.快來探索AI的世界/README - 3.你真了解資料嗎試試看視覺化分析吧/README - 4.咱們一起做資料清理和前處理/README - 5.機器學習大補帖/README - -.. toctree:: - :maxdepth: 3 - :caption: 第二部分 機器學習入門: - - 6.非監督式學習k-means分群/README - 7.非監督式學習-降維/README - 8.線性迴歸/README - 9.邏輯迴歸/README - 10.KNN/README - 11.SVM/README - 12.決策樹/README - - - - -Indices and tables -================== - -* :ref:`genindex` -* :ref:`modindex` -* :ref:`search` From e2213e7da915928da9794cacc52283b4c4c611ef Mon Sep 17 00:00:00 2001 From: Tsai Yi Lin Date: Sat, 24 Aug 2024 10:59:27 +0800 Subject: [PATCH 8/8] modify --- .gitignore | 4 +- .../README.md" | 39 - .../image/img1-1.jpg" | Bin 22915 -> 0 bytes .../10.1.KNN(Classification-iris).ipynb | 515 ------------ source/10.KNN/10.2.KNN(Regression).ipynb | 254 ------ source/10.KNN/README.md | 134 --- source/10.KNN/image/img10-1.png | Bin 130014 -> 0 bytes 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b/.gitignore @@ -1,2 +1,4 @@ .DS_Store -build \ No newline at end of file +build +source2 +source3 \ No newline at end of file diff --git "a/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" "b/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" deleted file mode 100644 index 5541b8d..0000000 --- "a/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/README.md" +++ /dev/null @@ -1,39 +0,0 @@ -# 全民瘋AI系列2.0 -> 第13屆iT邦幫忙鐵人賽 v0.2.4 - - - -## 前言 -哈囉大家好我是10程式中的10!我是[上一屆](https://ithelp.ithome.com.tw/users/20107247/ironman/3719)鐵人賽影片教學組`全民瘋AI系列`的作者,當時講解了人工智慧的基礎以及常見的機器學習演算法與手把手教學。由於大家反應很熱烈,讓我看到了大家對於AI的學習熱忱。也因為上一屆獲得了影片教學組優選,收到了許多書商的出版邀請,由於我沒有時間與動力將這些大量知識寫成文章因此都婉拒了。因此我想藉由這一次鐵人賽將上一屆的影片內容整理成電子書版本,提供大家影片教學與文字版的筆記內容(唷呼書商快看過來~)當然內容會以之前影片教學為基底,並加入一些新的元素讓文章內容變得更紮實。在全新的`全民瘋AI系列2.0`中我會介紹實用的機器學習演算法並含有程式手把手實作,以及近年來熱門的機器學習套件與模型調參技巧。除此之外我還會提到大家最感興趣的 AI 模型落地與整合。希望在這次的鐵人賽能夠將AI的資源整理得更詳細並分享給各位。 - - -![](./image/img1-1.jpg) - -## 此系列教學適合誰? -如果您是之前的舊讀者,歡迎回來為自己充電~新的系列文章保證讓你收穫滿滿!若您是新來的讀者歡迎加入人工智慧的世界,此系列文章正適合初學者閱讀。另外建議可以搭配我[上一屆](https://ithelp.ithome.com.tw/users/20107247/ironman/3719)鐵人賽的影片教學進行學習。 - -## 系列文章內容規劃 -在本次鐵人賽預計新增了許多新內容,特別是近年來比較新的演算法套件,以及在模型訓練中必須注意的大小事。本系列要在短短30天內講完所有 AI 領域相關應用是不太可能的事情,因此我的規劃是從認識人工智慧開始切入主題。先讓大家知道何謂人工智慧以及相關應用有哪些。接著帶各位了解成為資料科學家的第一步,就是資料分析與視覺化,再來會有一系列經典的機器學習演算法介紹。最後也是大家可能會有興趣的整合部分,會以實際的帶大家手把手部署我們的AI模型以及前後端串接的概念。 - - -## 前置作業資源 -本系列教學將有大量的程式實作,並採用 Google Colab 做為程式雲端運行的編輯執行環境。各位可以直接利用 Colab 開啟本系列文章的範例程式。在使用此平台之前每個人都必須要有自己的 Google 帳號,才能順利的開啟並執行程式碼。Colab 可讓你輕鬆地在瀏覽器上撰寫並執行 Python 程式語言,它可以說是機器學習新手的入門工具。此外 Colab 具備了以下幾個優點: - -- 不必進行任何設定與安裝 -- 免費額度使用 GPU、TPU 資源 -- 輕鬆共用與分享檔案 - -因此讀者必須先熟悉 Colab 的操作模式,想了解該如何操作的朋友們可以先來看這一步[影片](https://youtu.be/C9mvGMtrPXo?t=266)教學。 - - -## 回報錯誤與建議 -本系列文章若有問題或是內容建議都可以來 GitHub 中的 [issue](https://github.com/andy6804tw/2021-13th-ironman/issues) 提出。歡迎大家一同貢獻為這系列文章有更好的閱讀品質。 - -## 關於作者 -現今台灣人工智慧學校AI工程師,熱衷網頁前後端整合發與AI演算法開發。希望藉由鐵人賽,將所學貢獻出來提升臺灣在AI領域的資源。 - -[@andy6804tw](https://github.com/andy6804tw) - -歡迎大家訂閱我的 [YouTube](https://www.youtube.com/channel/UCSNPCGvMYEV-yIXAVt3FA5A) 頻道。 - -本系列教學簡報 PDF & Code 都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! \ No newline at end of file diff --git "a/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" "b/source/1.\345\205\250\346\260\221\347\230\213AI\347\263\273\345\210\2272.0\347\233\256\346\250\231\344\273\213\347\264\271/image/img1-1.jpg" deleted 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SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
05.13.51.40.20.0
14.93.01.40.20.0
24.73.21.30.20.0
34.63.11.50.20.0
45.03.61.40.20.0
..................
1456.73.05.22.32.0
1466.32.55.01.92.0
1476.53.05.22.02.0
1486.23.45.42.32.0
1495.93.05.11.82.0
\n", - "

150 rows × 5 columns

\n", - "" - ], - "text/plain": [ - " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", - "0 5.1 3.5 1.4 0.2 0.0\n", - "1 4.9 3.0 1.4 0.2 0.0\n", - "2 4.7 3.2 1.3 0.2 0.0\n", - "3 4.6 3.1 1.5 0.2 0.0\n", - "4 5.0 3.6 1.4 0.2 0.0\n", - ".. ... ... ... ... ...\n", - "145 6.7 3.0 5.2 2.3 2.0\n", - "146 6.3 2.5 5.0 1.9 2.0\n", - "147 6.5 3.0 5.2 2.0 2.0\n", - "148 6.2 3.4 5.4 2.3 2.0\n", - "149 5.9 3.0 5.1 1.8 2.0\n", - "\n", - "[150 rows x 5 columns]" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "iris = load_iris()\n", - "df_data = pd.DataFrame(data= np.c_[iris['data'], iris['target']],\n", - " columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species'])\n", - "df_data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2) 切割訓練集與測試集" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train shape: (105, 4)\n", - "test shape: (45, 4)\n" - ] - } - ], - "source": [ - "from sklearn.model_selection import train_test_split\n", - "X = df_data.drop(labels=['Species'],axis=1).values # 移除Species並取得剩下欄位資料\n", - "y = df_data['Species'].values\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42, stratify=y)\n", - "\n", - "print('train shape:', X_train.shape)\n", - "print('test shape:', X_test.shape)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 建立 k-nearest neighbors(KNN) 模型\n", - "Parameters:\n", - "- n_neighbors: 設定鄰居的數量(k),選取最近的k個點,預設為5。\n", - "- algorithm: 搜尋數演算法{'auto','ball_tree','kd_tree','brute'},可選。\n", - "- metric: 計算距離的方式,預設為歐幾里得距離。\n", - "\n", - "Attributes:\n", - "- classes_: 取得類別陣列。\n", - "- effective_metric_: 取得計算距離的公式。\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.neighbors import KNeighborsClassifier\n", - "\n", - "# 建立 KNN 模型\n", - "knnModel = KNeighborsClassifier(n_neighbors=3)\n", - "# 使用訓練資料訓練模型\n", - "knnModel.fit(X_train,y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted = knnModel.predict(X_train)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 使用Score評估模型" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "訓練集: 0.9619047619047619\n", - "測試集: 0.9555555555555556\n" - ] - } - ], - "source": [ - "# 預測成功的比例\n", - "print('訓練集: ',knnModel.score(X_train,y_train))\n", - "print('測試集: ',knnModel.score(X_test,y_test))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 測試集真實分類" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "# 建立測試集的 DataFrme\n", - "df_test=pd.DataFrame(X_test, columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm'])\n", - "df_test['Species'] = y_test\n", - "pred = knnModel.predict(X_test)\n", - "df_test['Predict'] = pred" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", - " FutureWarning\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.lmplot(x=\"PetalLengthCm\", y=\"PetalWidthCm\", hue='Species', data=df_test, fit_reg=False, legend=False)\n", - "plt.legend(title='target', loc='upper left', labels=['Iris-Setosa', 'Iris-Versicolour', 'Iris-Virginica'])\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## KNN (測試集)預測結果" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", - " FutureWarning\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.lmplot(x=\"PetalLengthCm\", y=\"PetalWidthCm\", data=df_test, hue=\"Predict\", fit_reg=False, legend=False)\n", - "plt.legend(title='target', loc='upper left', labels=['Iris-Setosa', 'Iris-Versicolour', 'Iris-Virginica'])\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 進階學習\n", - "## 查看不同的K分類結果\n", - "為了方便視覺化我們將原有的測試集特徵使用PCA降成2維。接著觀察在不同 K 的狀況下,分類的情形為何。" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [], - "source": [ - "from matplotlib.colors import ListedColormap\n", - "\n", - "def plot_decision_regions(X, y, classifier, test_idx = None, resolution=0.02):\n", - " # setup marker generator and color map\n", - " markers = ('s','x','o','^','v')\n", - " colors = ('red','blue','lightgreen','gray','cyan')\n", - " cmap = ListedColormap(colors[:len(np.unique(y))])\n", - "\n", - " # plot the decision surface\n", - " x1_min, x1_max = X[:,0].min() - 1, X[:,0].max() + 1\n", - " x2_min, x2_max = X[:,1].min() - 1, X[:,1].max() + 1\n", - "\n", - " xx1, xx2 = np.meshgrid(np.arange(x1_min,x1_max,resolution),\n", - " np.arange(x2_min,x2_max,resolution))\n", - "\n", - " Z = classifier.predict(np.array([xx1.ravel(),xx2.ravel()]).T)\n", - "\n", - " Z = Z.reshape(xx1.shape)\n", - "\n", - " plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n", - " plt.xlim(xx1.min(),xx1.max())\n", - " plt.ylim(xx2.min(),xx2.max())\n", - "\n", - " for idx, cl in enumerate(np.unique(y)):\n", - " plt.scatter(x=X[y==cl,0], y=X[y==cl,1],\n", - " alpha=0.8, c=[cmap(idx)], marker=markers[idx],label=cl)\n", - " if test_idx:\n", - " X_test, y_test = X[test_idx,:], y[test_idx]\n", - " plt.scatter(X_test[:, 0], X_test[:,1], c='',\n", - " alpha=1.0, linewidth=1, marker='o',\n", - " s=55, label='test set')\n" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [], - "source": [ - "def knn_model(plot_dict, X, y, k):\n", - " #create model\n", - " model = KNeighborsClassifier(n_neighbors=k)\n", - "\n", - " #training\n", - " model.fit(X, y)\n", - "\n", - " # Plot the decision boundary. For that, we will assign a color to each\n", - " if k in plot_dict:\n", - " plt.subplot(plot_dict[k])\n", - " plt.tight_layout()\n", - " plot_decision_regions(X,y,model)\n", - " plt.title('Plot for K: %d'%k )" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.decomposition import PCA\n", - "pca = PCA(n_components=2, iterated_power=1)\n", - "train_reduced = pca.fit_transform(X_train)\n", - "test_reduced = pca.fit_transform(X_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### KNN 訓練集 PCA 2 features" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8.5, 6))\n", - "\n", - "# 調整 K\n", - "plot_dict = {1:231,2:232,3:233,6:234,10:235,15:236}\n", - "for i in plot_dict:\n", - " knn_model(plot_dict, train_reduced, y_train, i)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/source/10.KNN/10.2.KNN(Regression).ipynb b/source/10.KNN/10.2.KNN(Regression).ipynb deleted file mode 100755 index 0f73092..0000000 --- a/source/10.KNN/10.2.KNN(Regression).ipynb +++ /dev/null @@ -1,254 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Example 1 (簡單線性回歸)\n", - "先從簡單的線性回歸舉例,![](https://chart.googleapis.com/chart?cht=tx&chl=y%20%3D%20ax%20%2B%20b) ,![](https://chart.googleapis.com/chart?cht=tx&chl=a) 稱為斜率,![](https://chart.googleapis.com/chart?cht=tx&chl=b) 稱為截距。" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Bad key \"text.kerning_factor\" on line 4 in\n", - "/opt/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test_patch.mplstyle.\n", - "You probably need to get an updated matplotlibrc file from\n", - "https://github.com/matplotlib/matplotlib/blob/v3.1.3/matplotlibrc.template\n", - "or from the matplotlib source distribution\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# imports\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# 亂數產生資料\n", - "np.random.seed(0)\n", - "noise = np.random.rand(100, 1)\n", - "x = np.random.rand(100, 1)\n", - "y = 3 * x + 15 + noise\n", - "# y=ax+b Target function a=3, b=15\n", - "\n", - "\n", - "# plot\n", - "plt.scatter(x,y,s=10)\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## KNN Regression\n", - "KNN 不僅能夠作為分類器,也可以做回歸連續性的數值預測。其預測值為k個最近鄰居的值的平均值。\n", - "\n", - "Parameters:\n", - "- n_neighbors: 設定鄰居的數量(k),選取最近的k個點,預設為5。\n", - "- algorithm: 搜尋數演算法{'auto','ball_tree','kd_tree','brute'},可選。\n", - "- metric: 計算距離的方式,預設為歐幾里得距離。\n", - "\n", - "Attributes:\n", - "- classes_: 取得類別陣列。\n", - "- effective_metric_: 取得計算距離的公式。\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.neighbors import KNeighborsRegressor\n", - "\n", - "# 建立 KNN 模型\n", - "knnModel = KNeighborsRegressor(n_neighbors=3)\n", - "# 使用訓練資料訓練模型\n", - "knnModel.fit(x,y)\n", - "# 使用訓練資料預測\n", - "predicted= knnModel.predict(x)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 模型評估\n", - "scikit-learn KNN迴歸模型的score函式是R2 score,可作為模型評估依據,其數值越接近於1代表模型越佳。\n", - "除了R2 score還有其他許多回歸模型的評估方法,例如: MSE、MAE、RMSE。" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "R2 score: 0.9251924828843394\n", - "MSE score: 0.0554014089707124\n" - ] - } - ], - "source": [ - "from sklearn import metrics\n", - "print('R2 score: ', knnModel.score(x, y))\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('MSE score: ', mse)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plot\n", - "plt.scatter(x, y, s=10, label='True')\n", - "plt.scatter(x, predicted, color=\"r\",s=10, label='Predicted')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.legend()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Example 2 (非線性回歸)\n", - "上面的例子資料都很均勻分布在一條直線上,但現實的資料可能並只會發生在一條線上。下面示範一個多項次的回歸模型例子。" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "x = np.array([[1.40280301e-01],[9.03857692e-01],[5.35815131e-01],[3.58391981e-01],[2.43418162e-02],[2.43342904e-02],[3.37370600e-03],[7.50261116e-01],[3.61339257e-01],[5.01366775e-01],[4.23721405e-04],[9.40725121e-01],[6.92960750e-01],[4.50878979e-02],[3.30603187e-02],[3.36372142e-02],[9.25633424e-02],[2.75369313e-01],[1.86576499e-01],[8.48144121e-02],[3.74363965e-01],[1.94585372e-02],[8.53484957e-02],[1.34221000e-01],[2.07999831e-01],[6.16501290e-01],[3.98696193e-02],[2.64437058e-01],[3.50955021e-01],[2.15764084e-03],[3.69110747e-01],[2.90784768e-02],[4.23170975e-03],[9.00383763e-01],[9.32445223e-01],[6.53506272e-01],[9.27895484e-02],[9.53984185e-03],[4.68174835e-01],[1.93734218e-01]])\n", - "y = np.array([ 5.82469676e+00, 7.94613194e+00, 9.24976070e+00, 6.59761731e+00,\n", - " 2.16651685e+00, -2.50365745e-03, -1.00182588e+00, 9.02075194e+00,\n", - " 8.57086436e+00, 8.50848958e+00, -7.34549241e-02, 8.73802779e+00,\n", - " 7.26038154e+00, 2.38778217e+00, 2.02397265e+00, 3.57417666e+00,\n", - " 5.15052189e+00, 5.57291682e+00, 6.83461431e+00, 4.20408429e+00,\n", - " 7.21499207e+00, 2.24057093e+00, 5.63575746e+00, 6.66180813e+00,\n", - " 5.91402744e+00, 8.29511673e+00, 3.18174801e+00, 8.23158707e+00,\n", - " 7.30330971e+00, 2.55480191e-02, 6.76197223e+00, 1.05656839e+00,\n", - " 1.21851645e+00, 1.03566236e+01, 8.95941549e+00, 9.67640393e+00,\n", - " 5.17463285e+00, 2.25781800e-01, 8.60137397e+00, 8.13359834e+00])" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "#測試資料集\n", - "x_test = np.linspace(-0.1,1.1,500)[:,None]\n", - "plt.scatter(x.ravel(),y,color='black')\n", - "#測試1,3,7的degree\n", - "for k in [1,3,9]:\n", - " y_test=knnModel = KNeighborsRegressor(n_neighbors=k).fit(x,y).predict(x_test)\n", - " plt.plot(x_test.ravel(),y_test,label='n_neighbors={}'.format(k))\n", - "plt.xlim(-0.1,1.0)\n", - "plt.ylim(-2,12)\n", - "plt.legend(loc='lower right')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/source/10.KNN/README.md b/source/10.KNN/README.md deleted file mode 100644 index 0c1f175..0000000 --- a/source/10.KNN/README.md +++ /dev/null @@ -1,134 +0,0 @@ -# 近朱者赤,近墨者黑 - KNN -## 今日學習目標 - -- K-近鄰演算法介紹 - - KNN 演算法解析 - - KNN 於分類器和迴歸器的做法 - - 比較 KNN 與 k-means 差異 -- 實作 KNN 分類器與迴歸器 - - 實作 KNN 分類器,觀察不同 k 值會對分類結果造成什麼影響 - - 實作 KNN 迴歸迴器 - -## K-近鄰演算法 (KNN) -KNN 的全名 K Nearest Neighbor 是屬於機器學習中的 Supervised learning 其中一種算法,顧名思義就是 k 個最接近你的`鄰居`。分類的標準是由鄰居「多數表決」決定的。在 Sklearn 中 KNN 可以用作分類或迴歸的模型。 - -![](./image/img10-1.png) - -## KNN 分類器 -在分類問題中 KNN 演算法採多數決標準,利用 k 個最近的鄰居來判定新的資料是在哪一群。其演算法流程非常簡單,首先使用者先決定 k 的大小。接著計算目前該筆新的資料與鄰近的資料間的距離。第三步找出跟自己最近的 k 個鄰居,查看哪一組鄰居數量最多,就加入哪一組。 - -1. 決定 k 值 -2. 求每個鄰居跟自己之間的距離 -3. 找出跟自己最近的 k 個鄰居,查看哪一組鄰居數量最多,就加入哪一組 -> 如果還是沒辦法決定在哪一組,回到第一步調整 k 值,再繼續 - -k 的大小會影響模型最終的分類結果。以下圖為例,假設綠色點是新的資料。當 k 等於 3 時會搜尋離綠色點最近的鄰居,我們可以發現藍色三角形為預測的結果。當 k 設為 5 的時候結果又不一樣了,我們發現距離最近的三個鄰居為紅色正方形。 - -![](./image/img10-2.png) - -## KNN 迴歸器 -KNN 同時也能運用在迴歸問題上面。迴歸模型輸出的結果是一個連續性數值,其預測該值是 k 個最近鄰居輸出的平均值。以下圖為例當 k=2 時,假設我們有一個輸入特徵 x 要預測的輸出為 y。當有一筆新的 x 進來的時候, KNN 迴歸器會尋找鄰近 2 個 x 的輸出做平均當作是該筆資料的預測結果。 - -![](./image/img10-3.png) - - -## KNN 度量距離的方法 -要判斷那些是鄰居的話,首先要量化相似度,而歐幾里得距離 (Euclidean distance) 是比較常用的方法來量度相似度。除此之外還有明可夫斯基距離(Sklearn 預設)、曼哈頓距離、柴比雪夫距離、夾角餘弦、漢明距離、傑卡德相似係數 都可以評估距離的遠近。 - -![](./image/img10-4.png) - -## KNN 與 k-means 勿混淆 -KNN 的缺點是對資料的局部結構非常敏感,因此調整適當的 k 值極為重要。另外大家很常將 KNN 與 K-means 混淆,雖然兩者都有 k 值要設定但其實兩者無任何關聯。KNN 的 k 是設定鄰居的數量採多數決作為輸出的依據。而 K-means 的 k 是設定集群的類別中心點數量。 - - - -## [程式實作] -## KNN 分類器 -採用鳶尾花朵資料集做為分類範例,使用 Sklearn 建立 k-nearest neighbors(KNN) 模型。以下是 KNN 常見的模型操作參數: - -Parameters: -- n_neighbors: 設定鄰居的數量(k),選取最近的k個點,預設為5。 -- algorithm: 搜尋數演算法{'auto','ball_tree','kd_tree','brute'},可選。 -- metric: 計算距離的方式,預設為歐幾里得距離。 - -Attributes: -- classes_: 取得類別陣列。 -- effective_metric_: 取得計算距離的公式。 - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 - -```py -from sklearn.neighbors import KNeighborsClassifier - -# 建立 KNN 模型 -knnModel = KNeighborsClassifier(n_neighbors=3) -# 使用訓練資料訓練模型 -knnModel.fit(X_train,y_train) -# 使用訓練資料預測分類 -predicted = knnModel.predict(X_train) -``` - -### 使用Score評估模型 -我們可以直接呼叫 `score()` 直接計算模型預測的準確率。 - -```py -# 預測成功的比例 -print('訓練集: ',knnModel.score(X_train,y_train)) -print('測試集: ',knnModel.score(X_test,y_test)) -``` - -執行結果: -``` -訓練集: 0.9619047619047619 -測試集: 0.9555555555555556 -``` - -我們可以查看訓練好的模型在測試集上的預測能力,下圖中左邊的是測試集的真實分類,右邊的是模型預測的分類結果。從圖中可以發現藍色的 `Setosa` 完整的被分類出來,而橘色與綠色的分佈是緊密相連在交界處分類的結果比較不穩定。但最終預測結果結果在訓練集與測試集都有百分之95以上的準確率。 - -![](./image/img10-6.png) - -## KNN 迴歸器 -KNN 不僅能夠作為分類器,也可以做迴歸連續性的數值預測。其預測值為k個最近鄰居的值的平均值。 - -Parameters: -- n_neighbors: 設定鄰居的數量(k),選取最近的k個點,預設為5。 -- algorithm: 搜尋數演算法{'auto','ball_tree','kd_tree','brute'},可選。 -- metric: 計算距離的方式,預設為歐幾里得距離。 - -Attributes: -- classes_: 取得類別陣列。 -- effective_metric_: 取得計算距離的公式。 - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 - - -```py -from sklearn.neighbors import KNeighborsRegressor - -# 建立 KNN 模型 -knnModel = KNeighborsRegressor(n_neighbors=3) -# 使用訓練資料訓練模型 -knnModel.fit(x,y) -# 使用訓練資料預測 -predicted= knnModel.predict(x) -``` - -### 模型評估 -Sklearn 中 KNN 迴歸模型的 score 函式是 R2 score,可作為模型評估依據,其數值越接近於1代表模型越佳。除了 R2 score 還有其他許多迴歸模型的評估方法,例如: MSE、MAE、RMSE。 - -```py -from sklearn import metrics -print('R2 score: ', knnModel.score(x, y)) -mse = metrics.mean_squared_error(y, predicted) -print('MSE score: ', mse) -``` - -![](./image/img10-7.png) - -本系列教學內容及範例程式都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! \ No newline at end of file diff --git a/source/10.KNN/image/img10-1.png b/source/10.KNN/image/img10-1.png deleted file mode 100644 index f0b5c886a7525952496c14d332766144a09f7a62..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 130014 zcmeEuWmuHk_cn}!0v3`YAtFc#2uMhdA|X=Jje>x*bjKK|fPe@hJt|0d52*-9qr}iD zA&qqZ_XFs`IOliXZ|{fWbqNnM&$IX1Yu)Q!vG>dqd0C00_^0r(u&|C^lf0^cg@tE} 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\n", - "" - ], - "text/plain": [ - " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", - "0 5.1 3.5 1.4 0.2 0.0\n", - "1 4.9 3.0 1.4 0.2 0.0\n", - "2 4.7 3.2 1.3 0.2 0.0\n", - "3 4.6 3.1 1.5 0.2 0.0\n", - "4 5.0 3.6 1.4 0.2 0.0\n", - ".. ... ... ... ... ...\n", - "145 6.7 3.0 5.2 2.3 2.0\n", - "146 6.3 2.5 5.0 1.9 2.0\n", - "147 6.5 3.0 5.2 2.0 2.0\n", - "148 6.2 3.4 5.4 2.3 2.0\n", - "149 5.9 3.0 5.1 1.8 2.0\n", - "\n", - "[150 rows x 5 columns]" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "iris = load_iris()\n", - "df_data = pd.DataFrame(data= np.c_[iris['data'], iris['target']],\n", - " columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species'])\n", - "df_data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2) 切割訓練集與測試集" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train shape: (105, 4)\n", - "test shape: (45, 4)\n" - ] - } - ], - "source": [ - "from sklearn.model_selection import train_test_split\n", - "X = df_data.drop(labels=['Species'],axis=1).values # 移除Species並取得剩下欄位資料\n", - "y = df_data['Species'].values\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42, stratify=y)\n", - "\n", - "print('train shape:', X_train.shape)\n", - "print('test shape:', X_test.shape)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 繪製決策邊界 Function" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def make_meshgrid(x, y, h=.02):\n", - " \"\"\"Create a mesh of points to plot in\n", - "\n", - " Parameters\n", - " ----------\n", - " x: data to base x-axis meshgrid on\n", - " y: data to base y-axis meshgrid on\n", - " h: stepsize for meshgrid, optional\n", - "\n", - " Returns\n", - " -------\n", - " xx, yy : ndarray\n", - " \"\"\"\n", - " x_min, x_max = x.min() - 1, x.max() + 1\n", - " y_min, y_max = y.min() - 1, y.max() + 1\n", - " xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", - " np.arange(y_min, y_max, h))\n", - " return xx, yy\n", - "\n", - "\n", - "def plot_contours(ax, clf, xx, yy, **params):\n", - " \"\"\"Plot the decision boundaries for a classifier.\n", - "\n", - " Parameters\n", - " ----------\n", - " ax: matplotlib axes object\n", - " clf: a classifier\n", - " xx: meshgrid ndarray\n", - " yy: meshgrid ndarray\n", - " params: dictionary of params to pass to contourf, optional\n", - " \"\"\"\n", - " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", - " Z = Z.reshape(xx.shape)\n", - " out = ax.contourf(xx, yy, Z, **params)\n", - " return out\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## PCA降維\n", - "將原先 iris 4個特徵降成2維,方便做視覺化。" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.decomposition import PCA\n", - "pca = PCA(n_components=2, iterated_power=1)\n", - "train_reduced = pca.fit_transform(X_train)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 支持向量機 (Support Vector Machine, SVM) 模型\n", - "SVM 能夠透過 C 來達到 weight regularization 來限制模型的複雜度。除了這點我們還能透過 SVM 的 Kernel trick 的方式將資料做非線性轉換,常見的 kernel 除了 linear 線性以外還有兩了非線性的 Polynomial 高次方轉換以及 Radial Basis Function 高斯轉換。\n", - "\n", - "四種不同SVC分類器:\n", - "1. LinearSVC (線性)\n", - "2. kernel='linear' (線性)\n", - "3. kernel='poly' (非線性)\n", - "4. kernel='rbf' (非線性)\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。\n", - "- predict_proba: 預測每個類別的機率值。" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### LinearSVC\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- max_iter: 最大迭代次數,預設1000。" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'LinearSVC (linear kernel)\\nAccuracy:0.96')" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 linearSvc 模型\n", - "linearSvcModel=svm.LinearSVC(C=1, max_iter=10000)\n", - "# 使用訓練資料訓練模型\n", - "linearSvcModel.fit(train_reduced, y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted=linearSvcModel.predict(train_reduced)\n", - "# 計算準確率\n", - "accuracy = linearSvcModel.score(train_reduced, y_train)\n", - "\n", - "X0, X1 = train_reduced[:, 0], train_reduced[:, 1]\n", - "xx, yy = make_meshgrid(X0, X1)\n", - "plot_contours(plt, linearSvcModel, xx, yy,\n", - " cmap=plt.cm.coolwarm, alpha=0.8)\n", - "plt.scatter(X0, X1, c=y_train, cmap=plt.cm.coolwarm, s=20, edgecolors='k')\n", - "plt.xlabel('Sepal length')\n", - "plt.ylabel('Sepal width')\n", - "plt.title('LinearSVC (linear kernel)'+ '\\n' + 'Accuracy:%.2f'%accuracy)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='linear'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用線性。" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'SVC with linear kernel\\nAccuracy:0.97')" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='linear' 模型\n", - "svcModel=svm.SVC(kernel='linear', C=1)\n", - "# 使用訓練資料訓練模型\n", - "svcModel.fit(train_reduced, y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted=svcModel.predict(train_reduced)\n", - "# 計算準確率\n", - "accuracy = svcModel.score(train_reduced, y_train)\n", - "\n", - "X0, X1 = train_reduced[:, 0], train_reduced[:, 1]\n", - "xx, yy = make_meshgrid(X0, X1)\n", - "plot_contours(plt, svcModel, xx, yy,\n", - " cmap=plt.cm.coolwarm, alpha=0.8)\n", - "plt.scatter(X0, X1, c=y_train, cmap=plt.cm.coolwarm, s=20, edgecolors='k')\n", - "plt.xlabel('Sepal length')\n", - "plt.ylabel('Sepal width')\n", - "plt.title('SVC with linear kernel'+ '\\n' + 'Accuracy:%.2f'%accuracy)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='poly'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用 Polynomial 高次方轉換。\n", - "- degree: 增加模型複雜度,3 代表轉換到三次空間進行分類。\n", - "- gamma: 數值越大越能做複雜的分類邊界。" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'SVC with polynomial (degree 3) kernel\\nAccuracy:0.97')" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='poly' 模型\n", - "polyModel=svm.SVC(kernel='poly', degree=3, gamma='auto', C=1)\n", - "# 使用訓練資料訓練模型\n", - "polyModel.fit(train_reduced, y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted=polyModel.predict(train_reduced)\n", - "# 計算準確率\n", - "accuracy = polyModel.score(train_reduced, y_train)\n", - "\n", - "X0, X1 = train_reduced[:, 0], train_reduced[:, 1]\n", - "xx, yy = make_meshgrid(X0, X1)\n", - "plot_contours(plt, polyModel, xx, yy,\n", - " cmap=plt.cm.coolwarm, alpha=0.8)\n", - "plt.scatter(X0, X1, c=y_train, cmap=plt.cm.coolwarm, s=20, edgecolors='k')\n", - "plt.xlabel('Sepal length')\n", - "plt.ylabel('Sepal width')\n", - "plt.title('SVC with polynomial (degree 3) kernel'+ '\\n' + 'Accuracy:%.2f'%accuracy)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='rbf'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用 Radial Basis Function 高斯轉換。\n", - "- gamma: 數值越大越能做複雜的分類邊界" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'SVC with RBF kernel\\nAccuracy:0.97')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='rbf' 模型\n", - "rbfModel=svm.SVC(kernel='rbf', gamma=0.7, C=1)\n", - "# 使用訓練資料訓練模型\n", - "rbfModel.fit(train_reduced, y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted=rbfModel.predict(train_reduced)\n", - "# 計算準確率\n", - "accuracy = rbfModel.score(train_reduced, y_train)\n", - "\n", - "X0, X1 = train_reduced[:, 0], train_reduced[:, 1]\n", - "xx, yy = make_meshgrid(X0, X1)\n", - "plot_contours(plt, rbfModel, xx, yy,\n", - " cmap=plt.cm.coolwarm, alpha=0.8)\n", - "plt.scatter(X0, X1, c=y_train, cmap=plt.cm.coolwarm, s=20, edgecolors='k')\n", - "plt.xlabel('Sepal length')\n", - "plt.ylabel('Sepal width')\n", - "plt.title('SVC with RBF kernel'+ '\\n' + 'Accuracy:%.2f'%accuracy)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 比較不同的 Kernel \n", - "\n", - "![](https://i.imgur.com/IpPcsF6.png)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/source/11.SVM/11.2.SVR(Regression).ipynb b/source/11.SVM/11.2.SVR(Regression).ipynb deleted file mode 100755 index 090a4fb..0000000 --- a/source/11.SVM/11.2.SVR(Regression).ipynb +++ /dev/null @@ -1,401 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Example 1 (簡單線性回歸)\n", - "先從簡單的線性回歸舉例,![](https://chart.googleapis.com/chart?cht=tx&chl=y%20%3D%20ax%20%2B%20b) ,![](https://chart.googleapis.com/chart?cht=tx&chl=a) 稱為斜率,![](https://chart.googleapis.com/chart?cht=tx&chl=b) 稱為截距。" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Bad key \"text.kerning_factor\" on line 4 in\n", - "/opt/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test_patch.mplstyle.\n", - "You probably need to get an updated matplotlibrc file from\n", - "https://github.com/matplotlib/matplotlib/blob/v3.1.3/matplotlibrc.template\n", - "or from the matplotlib source distribution\n" - ] - }, - { - "data": { - "image/png": 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qRcpTg7hxivdeLDYcaxpf2abhmoOVwRsGWXK+si2eJ75ZGZwgzEbMZO3BdRxLzQnCbIS0Yf9sq4+qlvs2K10Tlrv2ontWJicIa4WmLHft+Q5WJncxWSuUNeon9RpTHhVmZXKCsDc0eQG9Mkb9lLUekkeFWVmcIAxo/mJvZVx5e26CNY1rEAa0o/h56cpF3LRhVbKTtusD1jS+gzDAE6+K4PqANY13lGuZqeoMTa5BmFm2We0oZ80xrM7g4qeZ9XINokWaVmdowsQ3szpLliAkbZF0SNKuvtdvkLRH0guDNhyS9LKk5yXtlOQ+o4KkKqJWcaLOO/HNScRs5lJ2Md0OfBG4Y/IFSeuADcB7IuInkt4+xefXRcSRhPG1TooialXDY/MMKW360F2z1JLdQUTEduDVvpc/BXw+In7SPeZQqu+3bEUP9ayq2yrP3VDTutTMylZ2DeIsYK2kJyR9W9J5A44L4JuSnpa0aaofKGmTpB2Sdhw+3L4TQNVdKHm7rYqOc/Ju6OoLlg68MyiqS63q37FZVZIOc5W0DHggIlZ1n+8CvgX8DnAe8GXgzOgLQtLiiDjQ7YLaBtzQvSOZUtuGudZl6edhw2OrjHO2Q3fr8js2S6VOw1zHgXu7CeFJSSfo7Hl90qV/RBzo/veQpPuA84GhCaJt6rK0w7DhsVXGOduhu3X5HZtVoewupq8BlwBIOguYB5xUiJZ0mqT5k4+By4Bd2JuMytIOoxJnllGO3Wy2knUxSdoKXEznDuEg8DngfwJbgHOAo8DvRsS3JC0GbouIKySdCdzX/TGnAHdFxH/M851t62KCtLOfi/zZozxLe5RjNxtmqi4mL7VhmdrS9+6Tv7XdVAnCM6ktUxuGiDZllzmzVJwgLFMb+t7bkATNZsOL9VmmNixd7SXOzabmGoTVWuoaQe/PBxqdEM2yuEhtmepeoC2zUN6WorxZPxep7U3KKNDOdomKImoEeWNwPcLszZwgWmrQCbGodYeKSECzLZRPJ4Y2FOXNpssJoqWyTohF3lUUcUWeZ0G+omKY7XeZNZFHMbVU1iilG7++q7B1h4oaITSbtZSmG4O3XDU7mRNEi/WfEIsc9lmHYbJ1iMFslHkUk52k7iObzKxYdVru22puFLpZnMTMyuEEYbnV4cTsfabNyuNRTJZLXRa283wFs/I4QVgudTkxe76CWXncxWS51GVhO49MMiuPRzFZbnWoQZhZsTyKyQoxCiOczKw4rkGYmVkmJwgzM8uULEFI2iLpkKRdfa/fIGmPpBck3Tzgs+u7x+yT9NlUMY6iolZbNTMbJuUdxO3A+t4XJK0DNgDviYh/CXyh/0OSxoBbgcuBlcBGSSsTxjkrZZ6w6zIXwczaIVmCiIjtwKt9L38K+HxE/KR7zKGMj54P7IuIlyLiKHA3naRSO2WfsOsyF8HM2qHsGsRZwFpJT0j6tqTzMo55J/BKz/Px7mu1U/YJ25PEzKxMZQ9zPQU4HfgAcB7wFUlnxsmTMZTxuYGTNSRtAjYBLFmypMBQhyt78pgniZlZmcpOEOPAvd2E8KSkE8AC4HDfMe/qeX4GcGDQD4yIzcBm6EyUKzziKVRxwvZcBDMrS9kJ4mvAJcBfSjoLmAcc6TvmKWCFpOXA3wJXAleVGuU0+IRtZk2VcpjrVuAx4GxJ45KuBbYAZ3aHvt4NfDwiQtJiSQ8CRMRx4HrgIeBF4CsR8UKqOM3MLJvXYjIza7Gp1mLyTGozM8vkxfq66rpSaV3jMrPm8x0E9Z2hXNe4zKwdnCCo7wzlusZlZu3gBEF9ZyjnjcsL+JlZCh7F1FXXvv5hcU12Q03O5r5l4/uSxl/X35OZzYx3lMuhrhPehsWV1Q2Vqh29yeieHePJk5GZVctdTCOuzO4x10TM2sV3ECOuzPWgyl6c0Myq5RqETYtrEGbN4hqE5ZLn5F/XWo2ZFc8JouHyXvG7AG1m/Vyk7tOkOQXTmYntArSZ9XOC6NG0pS2mc9Kv62RBM6uOE0SP6V5F1/1uYzon/cnRUFdfsNTdS2YGuAZxkukM46xjn31/vWG6Q2BdgDazXk4QPaZzQi1zBnMegxKWT/pmNlPuYupz6cpF3LRh1dCTaqo++5l2W7nIbGZF8x3EDKWYwTybbivPcjazojlBzELR3Tez6bYqc8kNM2sHJ4game1dgOsNZlakZAlC0hbgV4FDEbGq+9ofAJ8EJjvIfz8iHsz47MvAa8AEcHzQOiGjatDsZt8FmFmdJFusT9KHgB8Bd/QliB9FxBeGfPZlYHVEHJnOd47CYn1lb/BjZjaVqRbrSzaKKSK2A6+m+vmjyqONzGxUVDHM9XpJz0naIun0AccE8E1JT0vaNNUPk7RJ0g5JOw4frv/J1ktamNmoSLofhKRlwAM9XUyLgCN0EsAfAe+IiGsyPrc4Ig5IejuwDbihe0cypTp0MeVZPdV7KphZXdRmP4iIeGP2l6T/Djww4LgD3f8eknQfcD4wNEFULe88Bo82MrNRUGoXk6R39Dz9NWBXxjGnSZo/+Ri4LOu4OnJ9wcyaJFmCkLQVeAw4W9K4pGuBmyU9L+k5YB3wme6xiyVNDnddBDwq6VngSeAvIuIbqeIskusLZtYk3pO6YK4vmNkoqU0Nog1cXzCzpvBqrmZmlskJwszMMjlBmJlZJicIMzPL5ARhZmaZnCDMzCyTE4SZmWVygjAzs0yeKJehdzY04JnRZtZKThB9eldkvfvJVwA4OnFiytVZzcyayF1MfXpXZD06cYKjEycAr85qZu3jBNGnd0XWeWNzmDfW+RV5dVYzaxt3MfW5dOUibtn4PtcgzKz1nCAy9K/I6sRgZm3kLiYzM8vkBGFmZpmcIMzMLJMThJmZZXKCMDOzTE4QZmaWyQnCzMwyKSKqjqEwkg4D+6f5sQXAkQTh1Jnb3A5uczvMts1LIyJzmYhGJYiZkLQjIlZXHUeZ3OZ2cJvbIWWb3cVkZmaZnCDMzCyTEwRsrjqACrjN7eA2t0OyNre+BmFmZtl8B2FmZpmcIMzMLFMrEoSk9ZL2SNon6bMZ70vSLd33n5N0bhVxFilHmz/Wbetzkr4r6b1VxFmkYW3uOe48SROSPlJmfKnkabekiyXtlPSCpG+XHWPRcvz7fquk/yXp2W6bP1FFnEWRtEXSIUm7Bryf5hwWEY3+A4wBfwOcCcwDngVW9h1zBfC/AQEfAJ6oOu4S2vxB4PTu48vb0Oae474FPAh8pOq4S/q7/jlgN7Ck+/ztVcddQpt/H/gv3ccLgVeBeVXHPos2fwg4F9g14P0k57A23EGcD+yLiJci4ihwN7Ch75gNwB3R8Tjwc5LeUXagBRra5oj4bkT8Xffp48AZJcdYtDx/zwA3AF8FDpUZXEJ52n0VcG9E/AAgIka97XnaHMB8SQJ+hk6COF5umMWJiO102jBIknNYGxLEO4FXep6Pd1+b7jGjZLrtuZbO1ccoG9pmSe8Efg34sxLjSi3P3/VZwOmS/lLS05KuLi26NPK0+YvALwIHgOeB34mIE+WEV4kk57A27EmtjNf6x/bmOWaU5G6PpHV0EsRFSSNKL0+b/yvwexEx0bmwbIQ87T4FeD/wy8BbgMckPR4Rf506uETytPlXgJ3AJcC/ALZJeiQi/l/q4CqS5BzWhgQxDryr5/kZdK4qpnvMKMnVHknvAW4DLo+IH5YUWyp52rwauLubHBYAV0g6HhFfKyfEJPL++z4SEf8I/KOk7cB7gVFNEHna/Ang89HpoN8n6fvALwBPlhNi6ZKcw9rQxfQUsELScknzgCuB+/uOuR+4ujsS4APAP0TE/yk70AINbbOkJcC9wG+O8JVkr6FtjojlEbEsIpYBfw789ognB8j37/vrwFpJp0j6Z8Aa4MWS4yxSnjb/gM4dE5IWAWcDL5UaZbmSnMMafwcREcclXQ88RGf0w5aIeEHSb3Xf/zM6I1quAPYB/0Tn6mNk5WzzjcDbgD/tXlEfjxFeBTNnmxsnT7sj4kVJ3wCeA04At0VE5nDJUZDz7/qPgNslPU+n++X3ImJklwGXtBW4GFggaRz4HDAX0p7DvNSGmZllakMXk5mZzYAThJmZZXKCMDOzTE4QZmaWyQnCzMwyOUGYmVkmJwgzM8vkBGGWSHffiecknSrptO6+BKuqjsssL0+UM0tI0n8ATqWzSN54RPznikMyy80Jwiyh7lpBTwGvAx+MiImKQzLLzV1MZmn9PJ0Na+bTuZMwGxm+gzBLSNL9dHY8Ww68IyKurzgks9wav5qrWVW6O7cdj4i7JI0B35V0SUR8q+rYzPLwHYSZmWVyDcLMzDI5QZiZWSYnCDMzy+QEYWZmmZwgzMwskxOEmZllcoIwM7NM/x8eejz+eH9pkQAAAABJRU5ErkJggg==\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# imports\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# 亂數產生資料\n", - "np.random.seed(0)\n", - "noise = np.random.rand(100, 1)\n", - "x = np.random.rand(100, 1)\n", - "y = 3 * x + 15 + noise\n", - "# y=ax+b Target function a=3, b=15\n", - "\n", - "\n", - "# plot\n", - "plt.scatter(x,y,s=10)\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 支持向量迴歸(Support Vector Regression, SVR) 模型\n", - "支持向量機(SVM)是專門處理分類的問題,還有另一個名詞稱為支持向量迴歸(Support Vector Regression, SVR)專門處理迴歸問題。\n", - "SVR是SVM的延伸,而支持向量迴歸只要f(x)與y偏離程度不要太大,既可以認為預測正確。\n", - "\n", - "三種不同SVR迴歸器:\n", - "1. kernel='linear' (線性)\n", - "2. kernel='poly' (非線性)\n", - "3. kernel='rbf' (非線性)\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/lib/python3.7/site-packages/sklearn/utils/validation.py:63: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n", - " return f(*args, **kwargs)\n" - ] - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立SVR模型\n", - "linearModel=svm.SVR(C=1, kernel='linear')\n", - "# 使用訓練資料訓練模型\n", - "linearModel.fit(x, y)\n", - "# 使用訓練資料預測\n", - "predicted=linearModel.predict(x)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 模型評估\n", - "scikit-learn KNN迴歸模型的score函式是R2 score,可作為模型評估依據,其數值越接近於1代表模型越佳。\n", - "除了R2 score還有其他許多回歸模型的評估方法,例如: MSE、MAE、RMSE。" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "R2 score: 0.8868219068851385\n", - "MSE score: 0.08381812503531369\n" - ] - } - ], - "source": [ - "from sklearn import metrics\n", - "print('R2 score: ', linearModel.score(x, y))\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('MSE score: ', mse)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plot\n", - "plt.scatter(x, y, s=10, label='True')\n", - "plt.scatter(x, predicted, color=\"r\",s=10, label='Predicted')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.legend()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Example 2 非線性回歸\n", - "上面的例子資料都很均勻分布在一條直線上,但現實的資料可能並只會發生在一條線上。下面示範一個多項次的回歸模型例子。" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "x = np.array([[1.40280301e-01],[9.03857692e-01],[5.35815131e-01],[3.58391981e-01],[2.43418162e-02],[2.43342904e-02],[3.37370600e-03],[7.50261116e-01],[3.61339257e-01],[5.01366775e-01],[4.23721405e-04],[9.40725121e-01],[6.92960750e-01],[4.50878979e-02],[3.30603187e-02],[3.36372142e-02],[9.25633424e-02],[2.75369313e-01],[1.86576499e-01],[8.48144121e-02],[3.74363965e-01],[1.94585372e-02],[8.53484957e-02],[1.34221000e-01],[2.07999831e-01],[6.16501290e-01],[3.98696193e-02],[2.64437058e-01],[3.50955021e-01],[2.15764084e-03],[3.69110747e-01],[2.90784768e-02],[4.23170975e-03],[9.00383763e-01],[9.32445223e-01],[6.53506272e-01],[9.27895484e-02],[9.53984185e-03],[4.68174835e-01],[1.93734218e-01]])\n", - "y = np.array([ 5.82469676e+00, 7.94613194e+00, 9.24976070e+00, 6.59761731e+00,\n", - " 2.16651685e+00, -2.50365745e-03, -1.00182588e+00, 9.02075194e+00,\n", - " 8.57086436e+00, 8.50848958e+00, -7.34549241e-02, 8.73802779e+00,\n", - " 7.26038154e+00, 2.38778217e+00, 2.02397265e+00, 3.57417666e+00,\n", - " 5.15052189e+00, 5.57291682e+00, 6.83461431e+00, 4.20408429e+00,\n", - " 7.21499207e+00, 2.24057093e+00, 5.63575746e+00, 6.66180813e+00,\n", - " 5.91402744e+00, 8.29511673e+00, 3.18174801e+00, 8.23158707e+00,\n", - " 7.30330971e+00, 2.55480191e-02, 6.76197223e+00, 1.05656839e+00,\n", - " 1.21851645e+00, 1.03566236e+01, 8.95941549e+00, 9.67640393e+00,\n", - " 5.17463285e+00, 2.25781800e-01, 8.60137397e+00, 8.13359834e+00])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='linear'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用線性。" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "訓練集 MSE: 5.903802524650818\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='linear' 模型\n", - "linearModel=svm.SVR(C=1, kernel='linear')\n", - "# 使用訓練資料訓練模型\n", - "linearModel.fit(x, y)\n", - "# 使用訓練資料預測分類\n", - "predicted=linearModel.predict(x)\n", - "# 計算訓練集 MSE 誤差\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('訓練集 MSE: ', mse)\n", - "x_test = np.linspace(-0.1,1.1,500)[:,None]\n", - "predicted=linearModel.predict(x_test)\n", - "plt.scatter(x.ravel(),y)\n", - "plt.plot(x_test,predicted,label='kernel=linear', color='r')\n", - "plt.legend(loc='best')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='poly'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用 Polynomial 高次方轉換。\n", - "- degree: 增加模型複雜度,3 代表轉換到三次空間進行分類。\n", - "- gamma: 數值越大越能做複雜的預測。" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "訓練集 MSE: 8.296270605383441\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='poly' 模型\n", - "polyModel=svm.SVR(C=6, kernel='poly', degree=3, gamma='auto')\n", - "# 使用訓練資料訓練模型\n", - "polyModel.fit(x, y)\n", - "# 使用訓練資料預測分類\n", - "predicted=polyModel.predict(x)\n", - "# 計算訓練集 MSE 誤差\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('訓練集 MSE: ', mse)\n", - "x_test = np.linspace(-0.1,1.1,500)[:,None]\n", - "predicted=polyModel.predict(x_test)\n", - "plt.scatter(x.ravel(),y)\n", - "plt.plot(x_test,predicted,label='kernel=linear', color='r')\n", - "plt.legend(loc='best')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### kernel='rbf'\n", - "Parameters:\n", - "- C: 限制模型的複雜度,防止過度擬合。\n", - "- kernel: 此範例採用 Radial Basis Function 高斯轉換。\n", - "- gamma: 數值越大越能做複雜的分類邊界。" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "訓練集 MSE: 2.2551572190243157\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn import svm\n", - "\n", - "# 建立 kernel='rbf' 模型\n", - "rbfModel=svm.SVR(C=6, kernel='rbf', gamma='auto')\n", - "# 使用訓練資料訓練模型\n", - "rbfModel.fit(x, y)\n", - "# 使用訓練資料預測分類\n", - "predicted=rbfModel.predict(x)\n", - "# 計算訓練集 MSE 誤差\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('訓練集 MSE: ', mse)\n", - "x_test = np.linspace(-0.1,1.1,500)[:,None]\n", - "predicted=rbfModel.predict(x_test)\n", - "plt.scatter(x.ravel(),y)\n", - "plt.plot(x_test,predicted,label='kernel=linear', color='r')\n", - "plt.legend(loc='best')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 三種不同 Kernel 比較結果\n", - "![](https://i.imgur.com/DC1MkgL.png)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/source/11.SVM/README.md b/source/11.SVM/README.md deleted file mode 100644 index 3d1e867..0000000 --- a/source/11.SVM/README.md +++ /dev/null @@ -1,230 +0,0 @@ -# 核模型 - 支持向量機 (SVM) -## 今日學習目標 -- SVM 分類器 - - 何謂支持向量機? 非線性與線性? - - 多元分類支持向量機。 -- SVR 迴歸器 - - 學習 SVR 方法如何處理連續性輸出。 -- SVM 分類器與 SVR 迴歸器手把手實作 - - 藉由圖形化的邊界,來了解使用不同的 Kernel 及不同參數的意義。 - - 查看 SVR 方法在簡單線性迴歸和非線性迴歸表現。 - -## SVM 分類器 -支持向量機 (support vector machine, SVM) 是一個基於統計學習的監督式演算法,透過找出一個超平面,使之將兩個不同的集合分開。一般的分類問題我們就是要,找出在不同的資料類別中的分隔線。但在一般狀況下這個分隔線非常複雜且有很多種可能。然而 SVM 就是要在這很多種的可能當中找出最佳的解。SVM 演算法的精神就是找出一條分隔線使所有在邊界上的點離得越遠越好,使模型抵抗雜訊的能力更佳。 - -SVM 可分為以下兩種: -- 線性可分支持向量機 -- 非線性可分支持向量機 - -## 線性可分支持向量機 -線性可分支持向量機就是在下圖範例的二維圖形中找出一條線,目標讓這條直線與兩個類別之間的間隔寬度距離最大化。其中離兩條虛線(間隔超平面)距離最近的點,就稱為支持向量 (support vector)。 - -![](./image/img11-1.png) - -當然現實生活中的資料往往稍微複雜,那如果不是線性可分集合怎麼辦呢?我們可以運用核函數(kernel function) 幫我們造出不可分的分割平面。 - -![](./image/img11-2.png) - -## 非線性可分支持向量機 -除了進行線性分類之外 SVM 還可以使用核技巧有效地進行非線性分類,將其輸入的資料投到更高維度的空間,並在高維度的空間進行高維度的分類或降維。簡單來說透過多維度的投影技巧,將原本在二維空間中不可分的點到了三維空間就可分了。但是隨著資料量增加其運算也會變多,相對的執行速度就會變慢。 - -兩個非線性的 Kernel: -- Polynomial 高次方轉換 -- Radial Basis Function 高斯轉換 - -![](./image/img11-3.png) - -## 多元分類支持向量機 -SVM 演算法最初是為二元分類問題所設計的,但是現實生活中的例子一定不只有兩類的問題要解決。他的解決方式與 `[Day 9 邏輯迴歸]` 所提到的多元分類邏輯迴歸是一樣的。主要是將一個多元分類問題轉換為多個二元分類問題。常見方法包括 one-vs-rest(OvR) 和 many-vs-many(MvM) 兩種。 - -- one-vs-rest(OvR) - - 將某個類別的樣本歸為一類,其他剩餘的樣本歸為另一類 -- many-vs-many(MvM) - - 在任意兩類樣本之間設計一個 SVM - -> 詳細介紹可以參考 [[Day 9 邏輯迴歸]](https://ithelp.ithome.com.tw/articles/10269006) - -## SVR 迴歸器 -支持向量機(SVM)是專門處理分類的問題,還有另一個名詞稱為支持向量迴歸(Support Vector Regression, SVR)專門處理迴歸問題。SVR 是 SVM 的延伸,而支持向量迴歸只要 `f(x)` 與 y 偏離程度不要太大,既可以認為預測正確。如下圖中的迴歸範例,在線性的 SVR 模型中會在左右加上 𝜀 作為模型容忍的區間。因此在訓練過程中只有在虛線以外的誤差才會被計算。此外 SVR 也提供了線性與非線性的核技巧,其中在非線性的模型中可以使用高次方轉換或是高斯轉換。 - -![](./image/img11-4.png) - - -## [程式實作] -## 支持向量機 (Support Vector Machine, SVM) 模型 -SVM 能夠透過超參數 C 來達到 weight regularization 來限制模型的複雜度。除了這點我們還能透過 SVM 的 Kernel trick 的方式將資料做非線性轉換,常見的 kernel 除了 linear 線性以外還有兩了非線性的 Polynomial 高次方轉換以及 Radial Basis Function 高斯轉換。 - -四種不同SVC分類器: -1. LinearSVC (線性) -2. kernel='linear' (線性) -3. kernel='poly' (非線性) -4. kernel='rbf' (非線性) - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 -- predict_proba: 預測每個類別的機率值。 - -### LinearSVC -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- max_iter: 最大迭代次數,預設1000。 - -```py -from sklearn import svm - -# 建立 linearSvc 模型 -linearSvcModel=svm.LinearSVC(C=1, max_iter=10000) -# 使用訓練資料訓練模型 -linearSvcModel.fit(train_reduced, y_train) -# 使用訓練資料預測分類 -predicted=linearSvcModel.predict(train_reduced) -# 計算準確率 -accuracy = linearSvcModel.score(train_reduced, y_train) -``` - -> 訓練集 Accuracy: 0.96 - -### kernel='linear' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用線性。 - -```py -from sklearn import svm - -# 建立 kernel='linear' 模型 -svcModel=svm.SVC(kernel='linear', C=1) -# 使用訓練資料訓練模型 -svcModel.fit(train_reduced, y_train) -# 使用訓練資料預測分類 -predicted=svcModel.predict(train_reduced) -# 計算準確率 -accuracy = svcModel.score(train_reduced, y_train) -``` - -> 訓練集 Accuracy: 0.97 - -### kernel='poly' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用 Polynomial 高次方轉換。 -- degree: 增加模型複雜度,3 代表轉換到三次空間進行分類。 -- gamma: 數值越大越能做複雜的分類邊界。 - -```py -from sklearn import svm - -# 建立 kernel='poly' 模型 -polyModel=svm.SVC(kernel='poly', degree=3, gamma='auto', C=1) -# 使用訓練資料訓練模型 -polyModel.fit(train_reduced, y_train) -# 使用訓練資料預測分類 -predicted=polyModel.predict(train_reduced) -# 計算準確率 -accuracy = polyModel.score(train_reduced, y_train) -``` - -> 訓練集 Accuracy: 0.97 - -### kernel='rbf' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用 Radial Basis Function 高斯轉換。 -- gamma: 數值越大越能做複雜的分類邊界 - -```py -from sklearn import svm - -# 建立 kernel='rbf' 模型 -rbfModel=svm.SVC(kernel='rbf', gamma=0.7, C=1) -# 使用訓練資料訓練模型 -rbfModel.fit(train_reduced, y_train) -# 使用訓練資料預測分類 -predicted=rbfModel.predict(train_reduced) -# 計算準確率 -accuracy = rbfModel.score(train_reduced, y_train) -``` - -> 訓練集 Accuracy: 0.97 - -我們藉由圖形化的邊界,來了解使用不同的 Kernel 及不同參數的意義。以下範例將原先 鳶尾花朵資料集四個特徵透過 PCA 降成二維,以利我們做視覺化觀察。透過四種不同的 SVC 實驗我們可以發現不同的核技巧所預測出來的決策邊線都不盡相同。然而越複雜的模型相對的邊界就會變得越扭曲,因為非線性的模型能夠有比較好的擬合使得錯誤率降低。 - -![](./image/img11-5.png) - -## 支持向量迴歸(Support Vector Regression, SVR) 模型 -在 Sklearn 中 SVM 提供迴歸的模型稱作 SVR。此外 SVR 迴歸器也提供了三種不同的核函數,分別有一個線性以及兩個非線性的模型可以呼叫。在 SVR 迴歸的實驗,我們拿一組非線性的資料作為例子。並查看在不同的核技巧下模型所擬合的成效為何? - -三種不同SVR迴歸器: -1. kernel='linear' (線性) -2. kernel='poly' (非線性) -3. kernel='rbf' (非線性) - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 - -### kernel='linear' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用線性。 - -```py -from sklearn import svm - -# 建立 kernel='linear' 模型 -linearModel=svm.SVR(C=1, kernel='linear') -# 使用訓練資料訓練模型 -linearModel.fit(x, y) -# 使用訓練資料預測分類 -predicted=linearModel.predict(x_test) -``` - -> 訓練集 MSE: 5.903802524650818 - -### kernel='poly' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用 Polynomial 高次方轉換。 -- degree: 增加模型複雜度,3 代表轉換到三次空間進行分類。 -- gamma: 數值越大越能做複雜的預測。 - -```py -from sklearn import svm - -# 建立 kernel='poly' 模型 -polyModel=svm.SVR(C=6, kernel='poly', degree=3, gamma='auto') -# 使用訓練資料訓練模型 -polyModel.fit(x, y) -# 使用訓練資料預測分類 -predicted=polyModel.predict(x_test) -``` - -> 訓練集 MSE: 8.296270605383441 - -### kernel='rbf' -Parameters: -- C: 限制模型的複雜度,防止過度擬合。 -- kernel: 此範例採用 Radial Basis Function 高斯轉換。 -- gamma: 數值越大越能做複雜的分類邊界。 - -```py -from sklearn import svm - -# 建立 kernel='rbf' 模型 -rbfModel=svm.SVR(C=6, kernel='rbf', gamma='auto') -# 使用訓練資料訓練模型 -rbfModel.fit(x, y) -# 使用訓練資料預測分類 -predicted=rbfModel.predict(x_test) -``` - -> 訓練集 MSE: 2.2551572190243157 - -這裡的迴歸模型採用非線性的資料進行數據擬合的實驗。我們可以發現線性的核函數無法有效的預測所有數據點的趨勢。而非線性的模型中 RBF 的模型對於此資料有比較好的預測結果。 - -![](./image/img11-6.png) - -本系列教學內容及範例程式都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! \ No newline at end of file diff --git a/source/11.SVM/image/img11-1.png b/source/11.SVM/image/img11-1.png deleted file mode 100644 index e8b0a596ab7e099ce3f2097cd20ae57535f67a5f..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 104942 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"a/source/12.\346\261\272\347\255\226\346\250\271/12.1.\346\261\272\347\255\226\346\250\271(Classification-iris).ipynb" +++ /dev/null @@ -1,649 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Bad key \"text.kerning_factor\" on line 4 in\n", - "/opt/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test_patch.mplstyle.\n", - "You probably need to get an updated matplotlibrc file from\n", - "https://github.com/matplotlib/matplotlib/blob/v3.1.3/matplotlibrc.template\n", - "or from the matplotlib source distribution\n" - ] - } - ], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import seaborn as sns\n", - "from sklearn.datasets import load_iris" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 1) 載入資料集" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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    SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
    05.13.51.40.20.0
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    24.73.21.30.20.0
    34.63.11.50.20.0
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    " - ], - "text/plain": [ - " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", - "0 5.1 3.5 1.4 0.2 0.0\n", - "1 4.9 3.0 1.4 0.2 0.0\n", - "2 4.7 3.2 1.3 0.2 0.0\n", - "3 4.6 3.1 1.5 0.2 0.0\n", - "4 5.0 3.6 1.4 0.2 0.0\n", - ".. ... ... ... ... ...\n", - "145 6.7 3.0 5.2 2.3 2.0\n", - "146 6.3 2.5 5.0 1.9 2.0\n", - "147 6.5 3.0 5.2 2.0 2.0\n", - "148 6.2 3.4 5.4 2.3 2.0\n", - "149 5.9 3.0 5.1 1.8 2.0\n", - "\n", - "[150 rows x 5 columns]" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "iris = load_iris()\n", - "df_data = pd.DataFrame(data= np.c_[iris['data'], iris['target']],\n", - " columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species'])\n", - "df_data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2) 切割訓練集與測試集" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train shape: (105, 4)\n", - "test shape: (45, 4)\n" - ] - } - ], - "source": [ - "from sklearn.model_selection import train_test_split\n", - "X = df_data.drop(labels=['Species'],axis=1).values # 移除Species並取得剩下欄位資料\n", - "y = df_data['Species'].values\n", - "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42, stratify=y)\n", - "\n", - "print('train shape:', X_train.shape)\n", - "print('test shape:', X_test.shape)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 繪製決策邊界 Function" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "from matplotlib.colors import ListedColormap\n", - "\n", - "def plot_decision_regions(X, y, classifier, test_idx = None, resolution=0.02):\n", - " # setup marker generator and color map\n", - " markers = ('s','x','o','^','v')\n", - " colors = ('red','blue','lightgreen','gray','cyan')\n", - " cmap = ListedColormap(colors[:len(np.unique(y))])\n", - "\n", - " # plot the decision surface\n", - " x1_min, x1_max = X[:,0].min() - 1, X[:,0].max() + 1\n", - " x2_min, x2_max = X[:,1].min() - 1, X[:,1].max() + 1\n", - "\n", - " xx1, xx2 = np.meshgrid(np.arange(x1_min,x1_max,resolution),\n", - " np.arange(x2_min,x2_max,resolution))\n", - "\n", - " Z = classifier.predict(np.array([xx1.ravel(),xx2.ravel()]).T)\n", - "\n", - " Z = Z.reshape(xx1.shape)\n", - "\n", - " plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n", - " plt.xlim(xx1.min(),xx1.max())\n", - " plt.ylim(xx2.min(),xx2.max())\n", - "\n", - " for idx, cl in enumerate(np.unique(y)):\n", - " plt.scatter(x=X[y==cl,0], y=X[y==cl,1],\n", - " alpha=0.8, c=[cmap(idx)], marker=markers[idx],label=cl)\n", - " if test_idx:\n", - " X_test, y_test = X[test_idx,:], y[test_idx]\n", - " plt.scatter(X_test[:, 0], X_test[:,1], c='',\n", - " alpha=1.0, linewidth=1, marker='o',\n", - " s=55, label='test set')\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## PCA降維\n", - "將原先 iris 4個特徵降成2維,方便做視覺化。" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.decomposition import PCA\n", - "\n", - "pca = PCA(n_components=2, iterated_power=1)\n", - "train_reduced = pca.fit_transform(X_train)\n", - "test_reduced = pca.transform(X_test)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 分類決策樹\n", - "一個決策樹會根據訓練資料自動產生一棵樹。決策樹會根據資料產生很多樹狀的規則,最終訓練出來的規則會對新樣本進行預測。\n", - "\n", - "Parameters:\n", - "- criterion: 亂度的評估標準,gini/entropy。預設為gini。\n", - "- max_depth: 樹的最大深度。\n", - "- splitter: 特徵劃分點選擇標準,best/random。預設為best。\n", - "- random_state: 亂數種子,確保每次訓練結果都一樣,splitter=random 才有用。\n", - "- min_samples_split: 至少有多少資料才能再分\n", - "- min_samples_leaf: 分完至少有多少資料才能分\n", - "\n", - "Attributes:\n", - "- feature_importances_: 查詢模型特徵的重要程度。\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。\n", - "- predict_proba: 預測每個類別的機率值。\n", - "- get_depth: 取得樹的深度。\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train set accurancy: 1.0\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from sklearn.tree import DecisionTreeClassifier\n", - "\n", - "# 建立 DecisionTreeClassifier 模型\n", - "decisionTreeModel = DecisionTreeClassifier(criterion = 'entropy', max_depth=6, random_state=42)\n", - "# 使用訓練資料訓練模型\n", - "decisionTreeModel.fit(train_reduced, y_train)\n", - "# 使用訓練資料預測分類\n", - "predicted = decisionTreeModel.predict(train_reduced)\n", - "# 計算準確率\n", - "accuracy = decisionTreeModel.score(train_reduced, y_train)\n", - "\n", - "# 訓練集預測\n", - "plot_decision_regions(train_reduced, y_train, decisionTreeModel)\n", - "print('train set accurancy: ', accuracy)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "test set accurancy: 0.9555555555555556\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# 測試集預測\n", - "plot_decision_regions(test_reduced, y_test, decisionTreeModel)\n", - "print('test set accurancy: ',decisionTreeModel.score(test_reduced, y_test))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 視覺化決策樹\n", - "Graphviz 是視覺化決策樹的套件,可參考Graphviz[官網](https://www2.graphviz.org/)的介紹。以下範例一樣用 iris 資料集,並採用四個特徵下去做訓練。\n", - "\n", - "`pip install graphviz`\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train set accurancy: 0.9809523809523809\n", - "test set accurancy: 0.9777777777777777\n" - ] - } - ], - "source": [ - "#create model\n", - "decisionTreeModel = DecisionTreeClassifier(criterion = 'gini', max_depth=3 ,random_state=42)\n", - "decisionTreeModel.fit(X_train, y_train)\n", - "\n", - "print('train set accurancy: ',decisionTreeModel.score(X_train, y_train))\n", - "print('test set accurancy: ',decisionTreeModel.score(X_test, y_test))" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "特徵重要程度: [0. 0. 0.55087719 0.44912281]\n" - ] - } - ], - "source": [ - "print('特徵重要程度: ',decisionTreeModel.feature_importances_)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "Tree\n", - "\n", - "\n", - "\n", - "0\n", - "\n", - "PetalLengthCm ≤ 2.45\n", - "gini = 0.667\n", - "samples = 105\n", - "value = [35, 35, 35]\n", - "class = setosa\n", - "\n", - "\n", - "\n", - "1\n", - "\n", - "gini = 0.0\n", - "samples = 35\n", - "value = [35, 0, 0]\n", - "class = setosa\n", - "\n", - "\n", - "\n", - "0->1\n", - "\n", - "\n", - "True\n", - "\n", - "\n", - "\n", - "2\n", - "\n", - "PetalWidthCm ≤ 1.55\n", - "gini = 0.5\n", - "samples = 70\n", - "value = [0, 35, 35]\n", - "class = versicolor\n", - "\n", - "\n", - "\n", - "0->2\n", - "\n", - "\n", - "False\n", - "\n", - "\n", - "\n", - "3\n", - "\n", - "PetalLengthCm ≤ 4.95\n", - "gini = 0.057\n", - "samples = 34\n", - "value = [0, 33, 1]\n", - "class = versicolor\n", - "\n", - "\n", - "\n", - "2->3\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "6\n", - "\n", - "PetalWidthCm ≤ 1.7\n", - "gini = 0.105\n", - "samples = 36\n", - "value = [0, 2, 34]\n", - "class = virginica\n", - "\n", - "\n", - "\n", - "2->6\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "4\n", - "\n", - "gini = 0.0\n", - "samples = 33\n", - "value = [0, 33, 0]\n", - "class = versicolor\n", - "\n", - "\n", - "\n", - "3->4\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "5\n", - "\n", - "gini = 0.0\n", - "samples = 1\n", - "value = [0, 0, 1]\n", - "class = virginica\n", - "\n", - "\n", - "\n", - "3->5\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "7\n", - "\n", - "gini = 0.5\n", - "samples = 2\n", - "value = [0, 1, 1]\n", - "class = versicolor\n", - "\n", - "\n", - "\n", - "6->7\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "8\n", - "\n", - "gini = 0.057\n", - "samples = 34\n", - "value = [0, 1, 33]\n", - "class = virginica\n", - "\n", - "\n", - "\n", - "6->8\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import graphviz\n", - "from sklearn.tree import export_graphviz\n", - "dot_data = export_graphviz(decisionTreeModel, out_file=None, \n", - " feature_names=['SepalLengthCm', 'SepalWidthCm', 'PetalLengthCm', 'PetalWidthCm'],\n", - " class_names=['setosa', 'versicolor', 'virginica'], \n", - " filled=True, rounded=True, \n", - " special_characters=True) \n", - "graph = graphviz.Source(dot_data) \n", - "graph" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git "a/source/12.\346\261\272\347\255\226\346\250\271/12.2.\346\261\272\347\255\226\346\250\271(Regression).ipynb" "b/source/12.\346\261\272\347\255\226\346\250\271/12.2.\346\261\272\347\255\226\346\250\271(Regression).ipynb" deleted file mode 100755 index 294debf..0000000 --- "a/source/12.\346\261\272\347\255\226\346\250\271/12.2.\346\261\272\347\255\226\346\250\271(Regression).ipynb" +++ /dev/null @@ -1,787 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Example 1 (簡單線性回歸)\n", - "先從簡單的線性回歸舉例,![](https://chart.googleapis.com/chart?cht=tx&chl=y%20%3D%20ax%20%2B%20b) ,![](https://chart.googleapis.com/chart?cht=tx&chl=a) 稱為斜率,![](https://chart.googleapis.com/chart?cht=tx&chl=b) 稱為截距。" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# imports\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# 亂數產生資料\n", - "np.random.seed(0)\n", - "noise = np.random.rand(100, 1)\n", - "x = np.random.rand(100, 1)\n", - "y = 3 * x + 15 + noise\n", - "# y=ax+b Target function a=3, b=15\n", - "\n", - "\n", - "# plot\n", - "plt.scatter(x,y,s=10)\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 迴歸決策樹\n", - "Parameters:\n", - "- criterion: 評估切割點指標,mse/friedman_mse/mae。\n", - "- max_depth: 樹的最大深度。\n", - "- splitter: 特徵劃分點選擇標準,best/random。預設為best。\n", - "- random_state: 亂數種子,確保每次訓練結果都一樣,splitter=random 才有用。\n", - "- min_samples_split: 至少有多少資料才能再分\n", - "- min_samples_leaf: 分完至少有多少資料才能分\n", - "\n", - "\n", - "Attributes:\n", - "- feature_importances_: 查詢模型特徵的重要程度。\n", - "\n", - "Methods:\n", - "- fit: 放入X、y進行模型擬合。\n", - "- predict: 預測並回傳預測類別。\n", - "- score: 預測成功的比例。\n", - "- get_depth: 取得樹的深度。" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": {}, - "outputs": [], - "source": [ - "from sklearn.tree import DecisionTreeRegressor\n", - "\n", - "# 建立DecisionTreeRegressor模型\n", - "decisionTreeModel = DecisionTreeRegressor(criterion = 'mse', max_depth=4, splitter='best', random_state=42)\n", - "# 使用訓練資料訓練模型\n", - "decisionTreeModel.fit(x, y)\n", - "# 使用訓練資料預測\n", - "predicted=decisionTreeModel.predict(x)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 模型評估\n", - "scikit-learn 決策樹迴歸模型的score函式是R2 score,可作為模型評估依據,其數值越接近於1代表模型越佳。\n", - "除了R2 score還有其他許多回歸模型的評估方法,例如: MSE、MAE、RMSE。" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "R2 score: 0.9319595487655477\n", - "MSE score: 0.050389813894820126\n" - ] - } - ], - "source": [ - "from sklearn import metrics\n", - "print('R2 score: ', decisionTreeModel.score(x, y))\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "print('MSE score: ', mse)" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "max_depth = 4, MSE: 0.050389813894820126\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plot\n", - "print('max_depth = 4, MSE: ', mse)\n", - "plt.scatter(x, y, s=10, label='True')\n", - "plt.scatter(x, predicted, color=\"r\",s=10, label='Predicted')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.legend()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": {}, - "outputs": [], - "source": [ - "import graphviz\n", - "from sklearn.tree import export_graphviz" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": {}, - "outputs": [ - { - "data": { - "image/svg+xml": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "Tree\n", - "\n", - "\n", - "\n", - "0\n", - "\n", - "x ≤ 0.496\n", - "mse = 0.741\n", - "samples = 100\n", - "value = 17.057\n", - "\n", - "\n", - "\n", - "1\n", - "\n", - "x ≤ 0.193\n", - "mse = 0.256\n", - "samples = 43\n", - "value = 16.227\n", - "\n", - "\n", - "\n", - "0->1\n", - "\n", - "\n", - "True\n", - "\n", - "\n", - "\n", - "16\n", - "\n", - "x ≤ 0.718\n", - "mse = 0.194\n", - "samples = 57\n", - "value = 17.684\n", - "\n", - "\n", - "\n", - "0->16\n", - "\n", - "\n", - "False\n", - "\n", - "\n", - "\n", - "2\n", - "\n", - "x ≤ 0.13\n", - "mse = 0.098\n", - "samples = 15\n", - "value = 15.705\n", - "\n", - "\n", - "\n", - "1->2\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "9\n", - "\n", - "x ≤ 0.294\n", - "mse = 0.117\n", - "samples = 28\n", - "value = 16.506\n", - "\n", - "\n", - "\n", - "1->9\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "3\n", - "\n", - "x ≤ 0.015\n", - "mse = 0.062\n", - "samples = 9\n", - "value = 15.568\n", - "\n", - "\n", - "\n", - "2->3\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "6\n", - "\n", - "x ≤ 0.164\n", - "mse = 0.08\n", - "samples = 6\n", - "value = 15.912\n", - "\n", - "\n", - "\n", - "2->6\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "4\n", - "\n", - "mse = 0.0\n", - "samples = 1\n", - "value = 15.856\n", - "\n", - "\n", - "\n", - "3->4\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "5\n", - "\n", - "mse = 0.059\n", - "samples = 8\n", - "value = 15.532\n", - "\n", - "\n", - "\n", - "3->5\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "7\n", - "\n", - "mse = 0.068\n", - "samples = 3\n", - "value = 16.119\n", - "\n", - "\n", - "\n", - "6->7\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "8\n", - "\n", - "mse = 0.007\n", - "samples = 3\n", - "value = 15.704\n", - "\n", - "\n", - "\n", - "6->8\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "10\n", - "\n", - "x ≤ 0.224\n", - "mse = 0.087\n", - "samples = 10\n", - "value = 16.266\n", - "\n", - "\n", - "\n", - "9->10\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "13\n", - "\n", - "x ≤ 0.426\n", - "mse = 0.084\n", - "samples = 18\n", - "value = 16.639\n", - "\n", - "\n", - "\n", - "9->13\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "11\n", - "\n", - "mse = 0.022\n", - "samples = 3\n", - "value = 16.502\n", - "\n", - "\n", - "\n", - "10->11\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "12\n", - "\n", - "mse = 0.081\n", - "samples = 7\n", - "value = 16.164\n", - "\n", - "\n", - "\n", - "10->12\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "14\n", - "\n", - "mse = 0.053\n", - "samples = 11\n", - "value = 16.536\n", - "\n", - "\n", - "\n", - "13->14\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "15\n", - "\n", - "mse = 0.089\n", - "samples = 7\n", - "value = 16.801\n", - "\n", - "\n", - "\n", - "13->15\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "17\n", - "\n", - "x ≤ 0.633\n", - "mse = 0.097\n", - "samples = 29\n", - "value = 17.363\n", - "\n", - "\n", - "\n", - "16->17\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "24\n", - "\n", - "x ≤ 0.931\n", - "mse = 0.076\n", - "samples = 28\n", - "value = 18.016\n", - "\n", - "\n", - "\n", - "16->24\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "18\n", - "\n", - "x ≤ 0.528\n", - "mse = 0.068\n", - "samples = 18\n", - "value = 17.207\n", - "\n", - "\n", - "\n", - "17->18\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "21\n", - "\n", - "x ≤ 0.695\n", - "mse = 0.041\n", - "samples = 11\n", - "value = 17.617\n", - "\n", - "\n", - "\n", - "17->21\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "19\n", - "\n", - "mse = 0.014\n", - "samples = 2\n", - "value = 17.421\n", - "\n", - "\n", - "\n", - "18->19\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "20\n", - "\n", - "mse = 0.069\n", - "samples = 16\n", - "value = 17.181\n", - "\n", - "\n", - "\n", - "18->20\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "22\n", - "\n", - "mse = 0.028\n", - "samples = 6\n", - "value = 17.704\n", - "\n", - "\n", - "\n", - "21->22\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "23\n", - "\n", - "mse = 0.036\n", - "samples = 5\n", - "value = 17.514\n", - "\n", - "\n", - "\n", - "21->23\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "25\n", - "\n", - "x ≤ 0.881\n", - "mse = 0.049\n", - "samples = 21\n", - "value = 17.906\n", - "\n", - "\n", - "\n", - "24->25\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "28\n", - "\n", - "x ≤ 0.949\n", - "mse = 0.016\n", - "samples = 7\n", - "value = 18.344\n", - "\n", - "\n", - "\n", - "24->28\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "26\n", - "\n", - "mse = 0.043\n", - "samples = 16\n", - "value = 17.877\n", - "\n", - "\n", - "\n", - "25->26\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "27\n", - "\n", - "mse = 0.055\n", - "samples = 5\n", - "value = 18.0\n", - "\n", - "\n", - "\n", - "25->27\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "29\n", - "\n", - "mse = 0.008\n", - "samples = 2\n", - "value = 18.459\n", - "\n", - "\n", - "\n", - "28->29\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "30\n", - "\n", - "mse = 0.011\n", - "samples = 5\n", - "value = 18.297\n", - "\n", - "\n", - "\n", - "28->30\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dot_data = export_graphviz(decisionTreeModel, out_file=None, \n", - " feature_names=['x'],\n", - " filled=True, rounded=True, \n", - " special_characters=True) \n", - "graph = graphviz.Source(dot_data) \n", - "graph" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 非線性回歸\n", - "上面的例子資料都很均勻分布在一條直線上,但現實的資料可能並只會發生在一條線上。下面示範一個多項次的回歸模型例子。" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [], - "source": [ - "x = np.array([[1.40280301e-01],[9.03857692e-01],[5.35815131e-01],[3.58391981e-01],[2.43418162e-02],[2.43342904e-02],[3.37370600e-03],[7.50261116e-01],[3.61339257e-01],[5.01366775e-01],[4.23721405e-04],[9.40725121e-01],[6.92960750e-01],[4.50878979e-02],[3.30603187e-02],[3.36372142e-02],[9.25633424e-02],[2.75369313e-01],[1.86576499e-01],[8.48144121e-02],[3.74363965e-01],[1.94585372e-02],[8.53484957e-02],[1.34221000e-01],[2.07999831e-01],[6.16501290e-01],[3.98696193e-02],[2.64437058e-01],[3.50955021e-01],[2.15764084e-03],[3.69110747e-01],[2.90784768e-02],[4.23170975e-03],[9.00383763e-01],[9.32445223e-01],[6.53506272e-01],[9.27895484e-02],[9.53984185e-03],[4.68174835e-01],[1.93734218e-01]])\n", - "y = np.array([ 5.82469676e+00, 7.94613194e+00, 9.24976070e+00, 6.59761731e+00,\n", - " 2.16651685e+00, -2.50365745e-03, -1.00182588e+00, 9.02075194e+00,\n", - " 8.57086436e+00, 8.50848958e+00, -7.34549241e-02, 8.73802779e+00,\n", - " 7.26038154e+00, 2.38778217e+00, 2.02397265e+00, 3.57417666e+00,\n", - " 5.15052189e+00, 5.57291682e+00, 6.83461431e+00, 4.20408429e+00,\n", - " 7.21499207e+00, 2.24057093e+00, 5.63575746e+00, 6.66180813e+00,\n", - " 5.91402744e+00, 8.29511673e+00, 3.18174801e+00, 8.23158707e+00,\n", - " 7.30330971e+00, 2.55480191e-02, 6.76197223e+00, 1.05656839e+00,\n", - " 1.21851645e+00, 1.03566236e+01, 8.95941549e+00, 9.67640393e+00,\n", - " 5.17463285e+00, 2.25781800e-01, 8.60137397e+00, 8.13359834e+00])" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "decisionTreeModel = DecisionTreeRegressor(criterion = 'mse', max_depth=4, random_state=42)\n", - "decisionTreeModel.fit(x, y)\n", - "\n", - "x_test = np.linspace(-0.1,1.1,500)[:,None]\n", - "predicted=decisionTreeModel.predict(x_test)\n", - "plt.scatter(x.ravel(),y)\n", - "plt.plot(x_test,predicted,label='max_depth=6', color='r')\n", - "plt.legend(loc='best')\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.legend(loc='best')\n", - "plt.show()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "max_depth = 4, MSE: 0.08887613486268871\n" - ] - }, - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "decisionTreeModel = DecisionTreeRegressor(criterion = 'mse', max_depth=6, random_state=42)\n", - "decisionTreeModel.fit(x, y)\n", - "predicted=decisionTreeModel.predict(x)\n", - "\n", - "mse = metrics.mean_squared_error(y, predicted)\n", - "\n", - "print('max_depth = 4, MSE: ', mse)\n", - "plt.scatter(x.ravel(),y, label='True')\n", - "plt.scatter(x.ravel(), predicted, color=\"r\", label='Predicted', s=15)\n", - "plt.xlabel('x')\n", - "plt.ylabel('y')\n", - "plt.legend(loc='best')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git "a/source/12.\346\261\272\347\255\226\346\250\271/README.md" "b/source/12.\346\261\272\347\255\226\346\250\271/README.md" deleted file mode 100644 index 7ce0b9b..0000000 --- "a/source/12.\346\261\272\347\255\226\346\250\271/README.md" +++ /dev/null @@ -1,152 +0,0 @@ -# 決策樹 (Decision tree) -## 今日學習目標 -- 決策樹演算法介紹 - - 決策樹如何生成? - - 如何處理分類問題? - - 如何處理迴歸問題? -- 實作決策樹分類器 - - 觀察決策樹是如何生成的。 -- 實作決策樹迴歸器 - - 查看決策樹方法在簡單線性迴歸和非線性迴歸表現。 - -## 決策樹 -決策樹會根據訓練資料產生一棵樹,依據訓練出來的規則來對新樣本進行預測。決策樹演算法可以使用不同的方式來評估分枝的好壞(亂度),例如像是 Information gain、Gain ratio、Gini index。依據訓練資料找出合適的規則,最終生成一個規則樹來決策所有事情,其目的使每一個決策能夠使訊息增益最大化。就好比我們評估今天比賽是否舉行,天氣因子可能站比較大的因素,而 Co2 的濃度高低可能佔的因子程度較低。因此在第一層的決策中以天氣的特徵先進行第一次的決策判斷。接著第二層再從所有特徵中尋找最適合的決策因子,直到設定的最大樹的深度即停止樹的生長。 - -![](./image/img12-1.png) - -## 決策樹如何生成? -決策樹是以一個貪婪法則來決定每一層要問什麼問題,目標是分類過後每一群能夠很明顯的知道是屬於哪一種類別。延續上面的例子,以分類問題來說假設要評估明天比賽是否舉行。在樹的第一層節點中我們要從已知的兩個特徵分別是溫度與特徵選一個作為該層的決策因子。假設目前訓練集有五筆資料,其中正常舉行的有兩筆資料,取消舉行的有三筆資料。在樹的結構中左子樹為決策正常取行,而右子樹是決策取消舉行。我們可以發現當特徵為天氣的時候可以一很清楚的將這兩類別完整分開,因此我們會將天氣作為這一層判斷的因子。這就是決策樹在生成中的貪婪機制。然而要如何去判斷每次決策的好壞,就必須依靠亂度的評估指標。 - -![](./image/img12-2.png) - -## 決策樹的混亂評估指標 -我們需要客觀的標準來決定決策樹的每個分支,因此我們需要有一個評斷的指標來協助我們決策。決策樹演算法可以使用不同的指標來評估分枝的好壞,常見的決策亂度評估指標有 Information gain、Gain ratio、Gini index。我們目標是從訓練資料中找出一套決策規則,讓每一個決策能夠使訊息增益最大化。以上的指標都是在衡量一個序列中的混亂程度,其數值越高代表越混亂。然而在 Sklearn 套件中預設使用 Gini。 - -- Information gain (資訊獲利) -- Gain ratio (吉尼獲利) -- Gini index (吉尼係數) = Gini Impurity (吉尼不純度) - -## 評估分割資訊量 -Information Gain 透過從訓練資料找出規則,讓每一個決策能夠使訊息增益最大化。其算法主要是計算熵,因此經由決策樹分割後的資訊量要越小越好。而 Gini 的數值越大代表序列中的資料亂,數值皆為 0~1 之間,其中 0 代表該特徵在序列中是完美的分類。常見的資訊量評估方法有兩種:資訊獲利 (Information Gain) 以及 Gini 不純度 (Gini Impurity)。 - -![](./image/img12-3.png) - -## 熵 (Entropy) -熵 (Entropy) 是計算 Information Gain 的一種方法。在了解 Information Gain 之前要先了解熵是如何被計算出來的。其中在下圖公式中 p 代表是的機率、q 代表否的機率。我們可以從圖中範例很清楚地知道當所有的資料都被分類一致的時候 Entropy 即為 0,當資料各有一半不同時 Entropy 即為 1。 - -![](./image/img12-4.png) - -## Gini 不純度 (Gini Impurity) -Gini 不純度是另一種亂度的衡量方式,它的數字越大代表序列中的資料越混亂。公式如下所示,其中 p 代表是的機率、q 為代表否的機率。我們可以從圖中範例很清楚地知道當所有的資料都被分類一致的時候混亂程度即為 0,當資料各有一半不同時混亂程度即為 0.5。 - -![](./image/img12-5.png) - - -## 迴歸樹 -決策樹迴歸方法與分類有點類似差別僅在於評估分枝好壞的方式不同,我們又可以稱作迴歸樹。當數據集的輸出爲連續性數值時,該樹算法就是一個迴歸樹。透過樹的展開,並用葉節點的均值作爲預測值。從根節點開始,對樣本的某一特徵進行測試。經過評估後,將樣本分配到其子結點。此時每一個子節點對應著該特徵的一個值。依照這樣方式進行,直至到達葉結點。此時誤差值要最小化,並且越接近零越好。 - -> 迴歸樹的生長過程很推薦看[這篇](https://zhuanlan.zhihu.com/p/82054400)文章 - -以下舉一個例子假設 x 是輸入 y 是輸出,我們可以在一個平面上繪製出資料與正確答案間的分佈。假設迴歸樹的最大深度設定兩層。首先在第一層中會將所有的資料從中間切一刀此斷點為 `x=0.496` 當大於設定的值的數據點會繼續往右子樹下去延伸,反之小於 0.496 的資料點會往左子樹走。此時將會切出一個分支出來並往下擴展並形成第二層的決策分支。一直不斷持續拓展直到設定的最大深度終止,此時的節點即為葉節點也就是最終的模型輸出值。 - -![](./image/img12-7.png) - -## 樹越深模型越複雜 -假設我們生成一個 `f(x) = 3x+15 + noise` 的資料,其中 noise 為一個 0~1 之間的隨機數。從以下的測試可以看出隨著決策樹深度的增加,決策樹的擬合能力不斷上升。決策樹已經不僅僅擬合了我們的線性函式 `3x+15`,同時也擬合了我們添加的噪音(noise)。 - -![](./image/img12-8.png) - -## 迴歸樹該如何選擇切割點? -在分類模型中決策樹是以亂度作為決策樹生成時候的評估指標。但是迴歸樹透過是 `MSE` 或 `MAE` 來評估模型,並找出誤差最小的值作為樹的特徵選擇與切割點。其中前者是均方差,後者是和均值之差的絕對值之和。 - -![](./image/img12-9.png) - -## CART 決策樹 -在 Sklearn 套件中決策樹演算法是採用 CART (Classification and Regression Tree) 演算法,並且可以被拿來做分類和迴歸的預測。在決策樹的每一個節點上都是採用二分法,也就是每一個決策節點只分枝出兩個子節點。並且不斷地往下拓展,直到設定的最大深度為止,此時最大深度的節點稱為葉節點即為模型的預測輸出。 - -![](./image/img12-10.png) - -## 決策樹模型的優缺點 -建立決策樹的過程就是不斷的尋找特徵進行決策,透過這些決策盡量的使這些資料被分為同一個類別,且試著讓混亂程度越小越好。切記樹的深度越深不一定越好,他可能會造成過度擬合的問題。訓練好的模型我們能夠視覺化決策樹的結構,相對的可解釋性就變高。此外與其它的ML模型比較起來,決策樹執行速度是它的一大優勢。因為是樹狀結構,因此在進行機器學習的時候每個決策階段都相當的明確清楚,不是 0 就是 1。 - -![](./image/img12-6.png) - -## 決策樹總結 -決策樹透過所有特徵與對應的值將資料切分,來找出最適合的分枝並繼續往下拓展。若決策樹深度越深則決策的規則將越複雜,模型預測也會越接近真實答案。但若訓練集中含有過多的雜訊,太深的樹就有可能產生過擬合的情形。因此單一的決策樹肯定是不夠用的,我們可以利用集成學習中的 Boosting 架構,對迴歸樹進行改良升級。 - -![](./image/img12-11.png) - -## [程式實作] -## 分類決策樹 -一個決策樹會根據訓練資料自動產生一棵樹。決策樹會根據資料產生很多樹狀的規則,最終訓練出來的規則會對新樣本進行預測。 - -Parameters: -- criterion: 亂度的評估標準,gini/entropy。預設為gini。 -- max_depth: 樹的最大深度。 -- splitter: 特徵劃分點選擇標準,best/random。預設為best。 -- random_state: 亂數種子,確保每次訓練結果都一樣,splitter=random 才有用。 -- min_samples_split: 至少有多少資料才能再分 -- min_samples_leaf: 分完至少有多少資料才能分 - -Attributes: -- feature_importances_: 查詢模型特徵的重要程度。 - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 -- predict_proba: 預測每個類別的機率值。 -- get_depth: 取得樹的深度。 - -```py -from sklearn.tree import DecisionTreeClassifier - -# 建立 DecisionTreeClassifier 模型 -decisionTreeModel = DecisionTreeClassifier(criterion = 'entropy', max_depth=6, random_state=42) -# 使用訓練資料訓練模型 -decisionTreeModel.fit(train_reduced, y_train) -# 使用訓練資料預測分類 -predicted = decisionTreeModel.predict(train_reduced) -# 計算準確率 -accuracy = decisionTreeModel.score(train_reduced, y_train) -``` - -我們透過鳶尾花朵資料集進行 PCA 降維並訓練一個決策樹模型。透過繪製訓練決策邊界可以看到,在下圖右手邊的訓練集完整地將三個類別切割開來。而在右邊的測試集中僅有一筆紅色框起來的資料預測錯誤。 - -![](./image/img12-12.png) - -## 迴歸決策樹 -Parameters: -- criterion: 評估切割點指標,mse/friedman_mse/mae。 -- max_depth: 樹的最大深度。 -- splitter: 特徵劃分點選擇標準,best/random。預設為best。 -- random_state: 亂數種子,確保每次訓練結果都一樣,splitter=random 才有用。 -- min_samples_split: 至少有多少資料才能再分 -- min_samples_leaf: 分完至少有多少資料才能分 - - -Attributes: -- feature_importances_: 查詢模型特徵的重要程度。 - -Methods: -- fit: 放入X、y進行模型擬合。 -- predict: 預測並回傳預測類別。 -- score: 預測成功的比例。 -- get_depth: 取得樹的深度。 - -```py -from sklearn.tree import DecisionTreeRegressor - -# 建立 DecisionTreeRegressor 模型 -decisionTreeModel = DecisionTreeRegressor(criterion = 'mse', max_depth=4, splitter='best', random_state=42) -# 使用訓練資料訓練模型 -decisionTreeModel.fit(x, y) -# 使用訓練資料預測 -predicted=decisionTreeModel.predict(x) -``` - -在迴歸決策樹中我們使用了簡單線性迴歸與非線性迴歸兩種資料集進行數據擬合實驗。在簡單線性迴歸中我們將數據點添加一些噪音讓資料分布在斜直線上。左圖是迴歸樹在最大深度為 4 的訓練結果,可以隱約地看到模型決策的方式呈現階梯狀態。如果我們嘗試的將數的深度增加,模型相對複雜因此可以擬合得更好。而右邊是透過隨機產生的非線性資料進行模型訓練。從訓練結果可以發現在最大深度為 4 的時候,訓練結果就還不錯了。大家可以試看看調整模型的樹最大深度以及其他的超參數對模型訓練結果的影響。 - -![](./image/img12-13.png) - -本系列教學內容及範例程式都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! \ No newline at end of file diff --git "a/source/12.\346\261\272\347\255\226\346\250\271/image/img12-1.png" "b/source/12.\346\261\272\347\255\226\346\250\271/image/img12-1.png" deleted file mode 100644 index 3978b265e191f897ed84c9f0291d283cb02c96aa..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 200564 zcmeFZbzD^4y9WvgDj*>UN(m|9p1!_Y`~OG~$O4G0oL z4|6xKjPLK9d+r~{`|rVzuxIbR_Fn5*Pkf&me-)*t1bCEq7#J7?vNBSt7#R467#KKT zu3rVtm`ixSz`(#HFq4#2k(HFBQ?au#F|#zrz<3yDsIMO`!}jpoD-wPEZ@sL{cy`XJ zetv(En zr#PX#G1#wA7{xw?>uQQy>a8i5r!d+eCTzvml6PdqK%)+nkXt_umH!`F>o+R zFs=Ycn7}^_OiB!#e~vLQc6!)Gk?-S~%}ub_`{zFdqGSCf>L1^%iT+8G;L+rPGPpv!b$0Z!oB%4peRV30Fh z{Ku44rT>M2f#qnX{@mfYqJog2jTOf$BO3!_4i_uii|1fGb`b&&t&AOB(YaVzTH6b` zh}{3@4k6(9;xy{ z{~yCHuKXVM&$@oU?(xOLgf#4p?Idlitc+(HZ)53ral3}KnS&_z<&gh&`f}7`(8b35$433;f`85eY#@sF81#pwMDcEZBz4EY 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"b/source/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/README.md" deleted file mode 100644 index 510b3b9..0000000 --- "a/source/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/README.md" +++ /dev/null @@ -1,71 +0,0 @@ -# 快來探索AI的世界 -## 今日學習目標 -- 人工智慧的演進 -- 人工智慧的分級 -- 機器是如何學習的 - - - - -## 人工智慧的演進 -AI 與機器學習技術正在蓬勃發展中,你能想像人工智慧曾被認為是一個毫無出路的領域嗎? 從人工智慧的時間軸來看可以分為三個熱潮。第一次熱潮(1950~1960年),由於早期的電腦硬體資源的不足導致複雜的問題無法輕易的解決。第二次熱潮(1980~1990年)將帶有知是本體的代理人放入機器人中使具有智慧,也就是所謂的專家系統。但人類資源有限不可能把所有的知識都逐一地輸入到電腦。因此大家開始思考機器是否能夠讓他自己去學習?而不是人類一昧的餵入這些知識。第三次熱潮(2000年~現在)由於 CPU、GPU 以及雲端運算資源普及,早期複雜難解的演算法陸續可以透過超級電腦來解決。當手邊有了大量的數據就能拿來機器學習,因此大家踏入了大數據以及深度學習的時代。時間不斷的往前走,你能想像未來的 AI 在世界上是扮演什麼樣的角色嗎? - -![](./image/img2-1.png) - - -## 人工智慧的分級 -現今人工智慧與我們生活無所不在,例如我們只要對著手機喊一聲「Hey Siri !」蘋果手機的語音助理就能幫你打理好大小事。或者正在超市購物的你正在為購買哪一項商品煩惱時,推薦系統機器人能夠即時地為你做商品推薦。看似著簡單的動作,但人工智慧的情景在你我日常生活中息息相關。人工智慧依照機器能夠處理與判斷的能力區分為四個分級,分別為自動控制、探索推論、機器學習、深度學習: - -### 第一級人工智慧:自動控制 -機器含有自動控制的功能,並且經由感測器偵測環境的資訊。例如透過溫度感測器來偵測產線的馬達是否過熱,並達到停止運轉效果。或是冷氣低於20度時就進入待機模式……等。因此程式設計師必須先把所有可能的情況都考慮進去才能寫出控制程式。這就衍伸出一些問題,像是靈活度不高,且需要有經驗的專家介入才能完成。 - -![](./image/img2-2.png) - -### 第二級人工智慧:探索推論 -第二級逐漸開始強調邏輯推理,可以說是補足第一級的問題。透過將知識組織成知識本體並讓機器從現有的資訊中去推理。典型的例子就是專家系統,它是透過特定領域的專家訂定出一套知識庫與規則庫,並產生大量輸入與輸出資料的排列組合來解決日常生活中的問題。當然所謂的專家系統就必須邀請領域的專家為系統量身打造一套獨一無二的規則。然而每個人的觀點可能都不同,因此不同專家間所制定的規則可能都不太一樣。 - -![](./image/img2-3.png) - -### 第三級人工智慧:機器學習 -機器可以根據資料學習如何將輸入與輸出資料產生關聯。機器學習是一種學習的演算法,並從資料中去學習並找出問題的解決方法。其應用包括搜尋引擎、大數據分析等。我們依據資料與學習方式可大致分為監督式學習、非監督式學習、增強式學習,此外自監督學習這個名詞最近也熱烈的討論中。 - -### 第四級人工智慧:深度學習 -深度學習是一種機器學習的方法。它藉由模仿人類大腦神經元的結構,定義解決問題的函式。所謂深度學習是一種具有深度多層的神經網路。機器可以自行學習並且理解機器學習時用以表示資料的「特徵」,因此又稱為「特徵表達學習」,其應用包括:影像分類、機器翻譯...等。 - -![](./image/img2-4.png) - -## 機器如何學習? -### 監督式學習 (Supervised Learning) -所謂的監督式學習是給許多資料並給與答案,透過損失函數計算來找出一個最佳解。舉一個簡單的例子,比如給機器各看了 1000 張貓和狗的照片後再詢問機器新的一張照片中是貓還是狗。一直不斷的迭代訓練並從錯誤中去學習,最終機器能成功的分類了。 - -![](./image/img2-5.png) - -### 非監督式學習 (Unsupervised Learning) -非監督式學習只給定特徵,機器會想辦法會從中找出規律。非監督式學習最常見的方法就是集群分析(Cluster Analysis),目標是根據特徵將資料樣本分為幾群。簡單來說非監督式學習就是給許多資料但不給予答案,模型會從資料中自己去找出關係。透過分群演算法來計算資料與資料間的相似程度與距離。 - -![](./image/img2-6.png) - -### 半監督式學習 (Semi-Supervised Learning) -介於監督式學習與非監督式學習之間。在現實生活中,未標記樣本多、有標記樣本少是一個比價普遍現象,如何利用好未標記樣本來提升模型泛化能力,就是半監式督學習研究的重點。半監式督學習的應用主要在於收集資料很簡單,但標記的資料太少了,我們希望可以自動標記資料。 - -![](./image/img2-7.png) - -### 強化式學習 (Reinforcement Learning) -在強化式學習中機器會進行一系列的動作,而每做一個動作、環境都會跟著發生變化。若環境的變化是離目標更接近,我們就會給予一個正向反饋。若離目標更遠,則給予負向反饋。機器透過不斷的從錯誤中去學習,最終學到了如何去解決一件事情。 - -![](./image/img2-8.png) - -### 自監督學習 (Self-Supervised Learning) -自監督學習是由卷積神經之父 Yann LeCun 於 2019 年所提出來的一種學習機制。此學習機制模仿模仿人類的學習行為,透過當前任務觀察所得到的特徵,並訓練一個目標任務的模型。而且學習過程中並不仰賴人類給定的標籤。簡單來說訓練過程是拿一個訓練好的模型透過非監督式技巧 pre-text task 訓練好模型,訓練完成後再接到下游任務做最後的模型微調 (fine tune)。 - -![](./image/img2-9.png) - -## 學 AI 該用哪種程式語言? -Python 是近年來高速成長並且逐漸普及的程式語言,也可以說是最容易上手的程式語言之一。主要在於它的語法是簡化而不複雜的,同時強調程式碼的可讀性因此更能貼近程式設計者的思維。當然也些人使用 R 語言進行統計分析、繪圖以及資料探勘甚至建模。如果你正在猶豫要入坑哪一類程式語言,筆者這裡推薦 Python 程式語言。因為 Python 不僅可以進行資料分析、機器學習也能進行前/後端開發。另外 Python 有豐富的討論社群以及許多開源套件支援,大幅的降低學習門檻。 - -![](./image/img2-10.png) - -說了這麼多!大家準備好了嗎?快準備好電腦與筆記本,好好的為自己進行三十天的充電吧~ Let's Go! - - -本系列教學內容都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! diff --git "a/source/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/image/img2-1.png" "b/source/2.\345\277\253\344\276\206\346\216\242\347\264\242AI\347\232\204\344\270\226\347\225\214/image/img2-1.png" deleted file mode 100644 index 9f07b9f600a4f9308f03bd15a6cc942cef15ec36..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 121227 zcmb4rcRXC*7HP|-yhFsALqP_?yBU4QUGiBvlPtn)dw{C}6-om(f1btAV4|MU^;9FSe zGYR^5{q6RxyXf=noBQAH{PQFR|F^sUT;E+$DRN89O$2>uW9no`=VoJV>nP#|Wccd|5%l#< zHWvfkUynFh0U0!vU(?ChIhfKt18@Vl8N_ku=;*{8Ow2^y$Ugs9ar7@BgN2imy$BbV ztE(%(l@DO&V9v!OEG*2$&CA8h%ZYx1)6w15${9Ti+y7lPmJt(#_Ob zOV-i`Jv`_-#QBA|#r}H!zwZ35@sE<4zf1CP3qJd^=pVQK@1kmsrVcW8Ht0H?#D7oC 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"a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216?\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247!.ipynb" "b/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216?\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247!.ipynb" deleted file mode 100644 index f986287..0000000 --- "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216?\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247!.ipynb" +++ /dev/null @@ -1,774 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Bad key \"text.kerning_factor\" on line 4 in\n", - "/opt/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/stylelib/_classic_test_patch.mplstyle.\n", - "You probably need to get an updated matplotlibrc file from\n", - "https://github.com/matplotlib/matplotlib/blob/v3.1.3/matplotlibrc.template\n", - "or from the matplotlib source distribution\n" - ] - } - ], - "source": [ - "import warnings\n", - "import pandas as pd\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import seaborn as sns\n", - "from sklearn.datasets import load_iris" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 1) 載入資料集" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "

    \n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
    SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
    05.13.51.40.20.0
    14.93.01.40.20.0
    24.73.21.30.20.0
    34.63.11.50.20.0
    45.03.61.40.20.0
    ..................
    1456.73.05.22.32.0
    1466.32.55.01.92.0
    1476.53.05.22.02.0
    1486.23.45.42.32.0
    1495.93.05.11.82.0
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    150 rows × 5 columns

    \n", - "
    " - ], - "text/plain": [ - " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", - "0 5.1 3.5 1.4 0.2 0.0\n", - "1 4.9 3.0 1.4 0.2 0.0\n", - "2 4.7 3.2 1.3 0.2 0.0\n", - "3 4.6 3.1 1.5 0.2 0.0\n", - "4 5.0 3.6 1.4 0.2 0.0\n", - ".. ... ... ... ... ...\n", - "145 6.7 3.0 5.2 2.3 2.0\n", - "146 6.3 2.5 5.0 1.9 2.0\n", - "147 6.5 3.0 5.2 2.0 2.0\n", - "148 6.2 3.4 5.4 2.3 2.0\n", - "149 5.9 3.0 5.1 1.8 2.0\n", - "\n", - "[150 rows x 5 columns]" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "iris = load_iris()\n", - "df_data = pd.DataFrame(data= np.c_[iris['data'], iris['target']],\n", - " columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species'])\n", - "df_data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 2) EDA (Exploratory Data Analysis) 探索式資料分析\n", - "主要概念是透過數據統計的方式視覺化資料。做EDA的好處可以從各種面向先了解資料的狀況,以利後續的模型分析。" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 直方圖" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "#直方圖 histograms\n", - "df_data.hist(alpha=0.6,layout=(3,3), figsize=(12, 8), bins=10) \n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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1EcB7nTPFY28XkQoRqWhpaQlcaGOCgN86dSJSLCKviMhB77zor3iPh+y86KPN4yePFuUkOZwkuBWkxfOhlXn87p1aeodGnY5jjG+4o3iysoG+4VE+cl4hlyzKZmVhKh9ZV8i64jT21HWxu9bWkhpjzFyo6piqrgWKgA0isnIGj92qquWqWp6dne2/kMYEIX+O1I0CX1PVZcBG4EsispwQnhd9rLmX/NQ4kuOinY4S9D6zaR49Q6M8vrvB6SjG+ETqBR+lqXuIK5fnUZAW/95xEeGSRVnMz0rkT8faaO0dcjClMcaEB1XtZHya5dVAk4jkA3ivmx2MZkxQ8lunTlUbVXWX93YPcBAoZHxe9P3eu90PfNhfGXypa2CElp4hFmbbKN10nFeSxpLcZB7cUeN0FGPmrKFzgJSNH2VRThILJxmpFxG2LMshOkrYdtSm/BhjzGyISLaIpHlvxwOXA4eAx4HbvHe7DXjMmYTGBK+ArKkTkTJgHRCy86KPeadeTvaFblLiQkTmfAlVIsItG4rZU9fFgYZup+MYMyf//MwhQLh4YdaU90mIiWJDWQa17QNUt/UFLpwxxoSPfOAVEakEdjC+pu5J4G7gChE5Clzh/dkYM4Hfq1+KSBLwB+Crqto93Y6Kqm4FtgKUl5c7Xn3gWHMvOcmxpMRPc+qlerjn+cNzft07rlwy5+dwyk3rCvnnZw7xux01fPfGaU+JNyaoHGnq4Yk9DXTv+CMpV3/rrPddVZTK7tpO3jjWSkmGVX41xpiZUNVKxgcBzjzeBmwJfCJjQodfR+pEJJrxDt0DqvqI93DIzYvuHx7lVPcg87MSnY4SUtISYvjQyjz++G49A8NjTscxZlZ+9voJ4qJd9Ow492yfKJeLC+dn0to7zEkbrTMmJBSXlPpkZk1xSanTfxRjTATz20idjA/J/Rw4qKr3TPjV6XnRdxMi86Kr2/oBKLNO3Yzdcn4Jj+1u4Jl9jXzkvCKn4xgzI809gzz6bgMfP7+Y/znYM63HLMpN5k/H29hdY5Uww4mIxAHbgFjGPzsfVtW7RCQDeBAoA6qAj6lqh1M5zczV1dZE/MwaY0zo8+dI3SbgVuAyEdntvVxDCM6LPtnaR0KMmxzbcHzGNs7PoCwzgYcqap2OYsyM/fqtakY8Hj578bxpP8btEtYUpVLbMUB0lp25DyNDwGWqugZYC1wtIhsJ4YrOxhhjwoc/q1++oaqiqqtVda338rSqtqnqFlVd5L1u91cGXxjzKNXt/ZRlJoZ04RKniAg3rSti+8l2GrsGnI4Tds6yH+R3RKT+jBMqZgbGPMqDFbVsXpLDvBmO0q8sTCXKJSSX3+CndCbQdFyv98do70UJ0YrOxhhjwktAql+GssauAYZHPTP+Umf+nxvXFqAKT+yxPev8YKr9IAF+OPGEinMRQ9O2oy00dQ/xsfKZTxuOi3azJC+ZxGUfpHdo1A/pjBNExC0iuxlfC/6Cqk67orMxxhjjT9apO4fqtn5cAsUZ8ee+s5lUWVYia4rTePRd69T52ln2gzRz9HBFHekJ0Vy2NHdWj19RkIIrJo6nKu3/fbhQ1TFVXQsUARtEZNplfYNtmx5jjDHhxTp151Db0U9uShyxUW6no4S0D68t4EBjN0ebpldswszcGftBAnxZRCpF5D4RSZ/iMfZFcxKd/cO8cKCJG9cWEhM1u7fJvJQ4Rtpq+X1FnY/TGaepaifwKnA106zorKpbVbVcVcuzs7MDltUYY0xksE7dWQyOjNHcPWT7TfnAtavzcQk8tttGLfzhzP0ggZ8CCxgv6NAI/GCyx9kXzck9tbeR4TEPH10/+4qtIkJv5YtUVHdwoqX33A8wQU1EskUkzXs7HrgcOMT/q+gMIVLR2RhjTPixTt1Z1HUMoEBxunXq5ionOY5NC7N4bE89qo7vJR9WJtsPUlWbvFPFPMC9wAYnM4aapyobmZ+dyIqClDk9T9/+l3EJPLKr3kfJjIPygVdEpBLYwfiauicJwYrOxhhjwo916s6itr2faLeQlxrndJSwcOPaQmrbB3i31vbv8pWp9oM8PR3M6yZgX6CzhaqWniHePtHGdavy51zxdqyvg4sWZPFkZYOdzAhxqlqpquu8FZ1Xqup3vcdDqqKzMcaY8GSdurOo7einIC0et8u2MvCFK5bnEu0Wnt13yuko4WSq/SC/LyJ7vaMKm4G/dzRlCHl2/yk8CteuLvDJ812/Jp+qtn721Xf75PmMMcYYY85knbop9AyO0NE/YuvpfCg1PpqLFmTx7L5TNmrhI2fZD/JWVV3lPX7D6ZLrZlxxSSkiMunl6//6G4Zba1ian/K+47N11Yo8ot3CE1YF0xhjjDF+EuV0gGBV2zG+Ubatp/OtD63M485H9nKgsZsVBalOxzERqq62hnueP/xnxweGx9j6+gk2zMvgwo+///d3XLlkVq+VlhDDBxZl8+SeBu68eikuG/k3xhhjjI/ZSN0Uatv7iY92k5UU43SUsHLF8lxcgk3BNEGpqq0PgPlZiT593uvXFNDQNciumg6fPq8xxhhjDFinblKqSm1HP8Xp8XMulGDeLzMplg3zMnjGOnUmCFW19pEQ4yYnOdanz3v58lxio1w8scemYBpjjAkdZ1uuMJNLcUmp03+UsGfTLyfRPThK39AYhenxTkcJSx9amc9dj+/nWHMPC3OSnY5jDAAej1Ld3s+C7CSfn8xJio1iy7IcntrbyLevX2HFl4wxxoSEqZYrzNRslzCY6bORukk0dI6vp8tPtU6dP1y1Ig+wKZgmuDR2DTI06qEsyz/raK9dVUBr7zDvnLSK98YYMxkRKRaRV0TkoIjsF5GveI9/R0Tqz6jybIyZwDp1k2joGiDG7SLT1tP5RV5qHOtK0mwKpgkqJ9v6cAl+q3i7eWk2cdEuntprUzCNMWYKo8DXVHUZsBH4kogs9/7uhxOrPDsX0ZjgZJ26STR2DpKfGofL1tP5zYdW5rG/oZuatn6noxgDjK+nK0yLJzbK7ZfnT4iJ4rKlOTy7r4kxj23pYYwxZ1LVRlXd5b3dAxwECp1NZUxosE7dGSQ2kba+YfLT4pyOEtY+tDIfgGf32/ZpxnndAyO09Q1T5uOql2can4I5ZFMwjTHmHESkDFgHbPce+rKIVIrIfSKS7lgwY4KUderOEFu4FIACW0/nV8UZCWhHHd/+j4etqpJx3EnvVgbz/NypOz0F8+m9djLDGGOmIiJJwB+Ar6pqN/BTYAGwFmgEfjDF424XkQoRqWhpaQlYXmOCgVW/PENc4TJExtd9Gf/qOvgG6Rfdwj89dYD46LlNebOqSmYuTrb2kRofTXqCf9fRnp6C+cy+U3znBquCaYwxZxKRaMY7dA+o6iMAqto04ff3Ak9O9lhV3QpsBSgvL7d57iai2EjdGWILl5OdFEu02/5q/G3g2DsoUN3a53QUE8FGxjzUdQz4fZTutGtW5dsUTGOMmYSM7yfzc+Cgqt4z4Xj+hLvdBOwLdDZjgp31XCYYGfMQU7DYpl4GyHDjURJi3JywTp1xUG1HP2MepSzTP1Uvz3TZ0hybgmmMMZPbBNwKXHbG9gXfF5G9IlIJbAb+3tGUxgQhm345wYGGblzRcVYkJWCUeVmJHG3qZcyjNhXNOKKqtZ9ot1CYHpiTOTYF0xhjJqeqbwCTvSnaFgbGnMO0RupEZNN0joW6HVXj06FspC5w5mclMjzmod674Xski5R2FkxUlZOtfZRkJBDlCtzEhdNTME+/55jAsXZmTGBYWzMmsKb7LebH0zwW0nZWdzDaeYqkOBvADJTijATcLuFki03BJELaWTBp6xumd2iUsszArKc77fQUzKcqbQqmA6ydGRMY1taMCaCz9l5E5ELgIiBbRO6Y8KsUwD879DpEVamo7mCw/iBwidNxIka020VxejwnWnv5wOIsJAI3fI+kdhZsTnrXc/p7f7oz2RTMwLN2ZkxgWFszxhnnGqmLAZIY7/wlT7h0Ax/1b7TAqm0foKVniKG6A05HiTjzs5LoHhylrW/Y6ShOiZh2FmyqWvvITo4lKTbwo/M2BTPgrJ0ZExjW1oxxwFm/yajqa8BrIvILVa0OUCZHVFSPf7Eaqj/ocJLIMy8rEQ6Pj5pkJcU6HSfgIqmdBZPBkTEauwY5vyzDkdefWAVz4/xMRzJEEmtnxhf6hkY5dKqHU92DdA+M4BIhKS6KgtQ43EnOvJcEG2trxjhjuqenY0VkK1A28TGqepk/QjmhorqD5NgoRlprnI4ScZLioshJjuVka59jX7CDRNi3s2BS1daHQsD2pztTQkwUm5eMT8G863qbghlA1s7MjPUPj/LGsVYOn+rBo5AaH01aQjSq0Nw9yLHmXgr/5j7ueHA33/jQUnJTrIo21taMCajpdup+D/w78DNgzH9xnLOzqoN1pensU4/TUSLSvKxEtp9sp394lISYiC1UM+N2JiLFwC+BPMADbFXVfxWRDOBBxj9Mq4CPqWqHHzKHrKrWfuKj3eSmODc6fO3qfJ7Zd4odVe02Whc4Yf95ZnzreEsvLx5oYnjMw+qiNFYXpZKeEPO++3T0D/NvP/6/PBl7Ey8cbOLb1y3n5vJihxIHDWtrxgTQdL89j6rqT2fyxCJyH3Ad0KyqK73HvgN8AWjx3u2bqur43iNdAyMcae7h2tX5/MrpMBFqvrdTd7K1jxUFqU7HccqM2xkwCnxNVXeJSDKwU0ReAP4KeElV7xaRO4E7gW/4Nm4IExfVbX3My0p0tDiPTcF0xGzamYlAqsrOmg7+dKyNnORYrlyeS+YUSwTSE2LoeOledv7uh9z5h0q+/nAl+xu6+e/XLiPKHbjtUoKMtTVjAmi67zRPiMgXRSRfRDJOX87xmF8AV09y/IequtZ7cbxDB7CrpgNVKC9NdzpKxDpdrOJ0NcIINeN2pqqNqrrLe7sHOAgUAjcC93vvdj/wYX8GDzWxBUsYHPUEvOrlmSZOwRzzqKNZIshsPs9MBNpRNd6hW5STxM3ri6bs0E00LyuRBz5/AZ+7eB6/eLOKr/xuNyNjETsDyNqaMQE03ZG627zXX59wTIH5Uz1AVbeJSNnsYgXWzqoO3C5hbUma01EilohQlpXA4VM9jHo8Ad0IOojMuJ1N5G1v64DtQK6qNsJ4x09EcqZ4zO3A7QAlJSWzCh2K4hecjwiUZiQ4HeW9KZgVVe1cYKN1gTCndmYiw+7aTt460cbSvGSuXJ47oxH9KLeLb123nPzUOP7nU+PF1/7vJ9ZF4rpZa2vGBNC0OnWqOs+Hr/llEfk0UMH4tLFJ1/kE8stmRXU7y/NTInktV1CYn5XEvvpu6jsGKA3wZtDBYC7tTESSgD8AX1XV7ul+AVHVrcBWgPLy8ogZKopfcD4FqfHERju/ZdLpKZhPVjZapy4AfPx5ZsJQdVsf2460sCA7kSuWzaxDN9HnL5mPKvzT0wfJSYnlrutX+DhpcLO2ZkxgTasX4+2E/RlV/eUMX++nwPcYP1PzPeAHwGeneO6AfNkcGfOwu7aTW86PnFGKYFWcHk+USzjR2heRnbrZtjMRiWa8Q/eAqj7iPdwkIvneUbp8oNm3aUNXQ+cAMTnzHKt6eaaEmCiuWJ7HE5UNfOu65cREReQodcD48PPMhKHugRGe3XeKjMQYrlyeh2uOo2tf+MB8GrsGue9PJ5mXlcinLyzzTdAQYG3NmMCa7tDU+RNuxwFbgF2MV92bNlVtOn1bRO4FnpzJ4/1hf0M3gyOeSC+lHxSi3C5KMhI42drHpYvV0QIWDplxO5Pxv6SfAwdV9Z4Jv3qc8akvd3uvH/N52hD1yuHx/m1ZpvNTL0/7yHmFPLGngVcON3PVijyn44Q7n3yemfDjUeXZ/afwKFy3Ot9nJ1j+8dplVLf18d0nDrCyMJXzSiJm/b61NWMCaLrTL//LxJ9FJBVmXijy9MiB98ebgH0zfQ5fq6ga33S8vCxi3mSD2rysRE609tHWNxxxG5HPsp1tAm4F9orIbu+xbzLemXtIRD4H1AA3+zhuyHrlUDOjnafISFzodJT3XLIwi6ykWB7ZVWedOj/z1eeZCT+7qjto7BrkyuW5pJ2xZcFcuF3CPR9by7U/fp0vP7CLp/7uEtITfa636lsAACAASURBVPf8wcramjGBNdvTUP3AorPdQUR+C7wFLBGROu+Xy++LyF4RqQQ2A38/y9f3mZ3VHRSlx9tGoUHi9JS4E5FdBfO0c7YzVX1DVUVVV0+sKquqbaq6RVUXea/bA5Q5qA2OjPGnY230H68IqpHgKLeLD68t4OVDzXT2DzsdJ9Kcs52Z8NfeN8xbJ9pYmJ3E0rxknz9/akI0P/nkebT0DvHtx/f7/PlDhLU1Y/xoumvqnmB8HRyAG1gGPHS2x6jqJyY5/PMZpfMzVaWiuoNNC6w4QbBIjI0iJzmWky19bIiwKbGzaWdmZt460cbAyBgDJ3Y4HeXP3HReIT974yRPVDZy68ZSp+OELWtnZjKvHGom2u1i89Jsv53wWV2Uxn+5bBH3vHCEa1flcfXKfL+8TrCwtmZMYE13Td2/TLg9ClSrap0f8gRUbfsALT1DrI+wzkOwm5+VyNsn2+kfHo20iqRh2c6CyUsHm0iIcTNYXel0lD+zPD+FpXnJPLKrzjp1/mXtzLxP4vJLqesc4LIlOX7/zPnbSxfw/IFT/PdH97FhXiYZ4T0N09qaMQE0remXqvoacAhIBtKBsJgfVFHtXU9nm47PjLgQkTlfpnJ6CmZVa3+g/kRBIVzbWbBQVV4+2MzFC7NgbMTpOH9GRPjIeYW8W9PJiZZep+OELWtnZqL+4VHSLv0MuSmxrCxM8fvrRbtd/MvNa+gaGOGuMJ+GOZu2JiLFIvKKiBwUkf0i8hXv8QwReUFEjnqv7YubMWeY7vTLjwH/B3gVEODHIvJ1VX3Yj9n8rqK6g+TYKBbn+n7+fFhTD/c8f3jOT3PHlUsmPZ6dHEtSbBQnWntZXuD/D9lgEa7tLFgcaOymoWuQr16+mHudDjOFG9cWcvczh/jju/V8bYr2YebG2pmZ6L43ThKVnMkli/w37fJMS/NS+NLmhfzoxaPccn4xmxZmBeR1A22WbW2U8T2Md4lIMrBTRF4A/gp4SVXvFpE7gTuBb/j1D2BMiJluoZR/BM5X1dtU9dPABuBb/osVGDurOlhXmo57jvvQGN8SEcqyEqhp72fU43E6TiCFZTsLFi8dbEYENi/NcTrKlHJT4rh4UTaP7KrH44mYveADzdqZAaCtd4h/f+0E/UfeojAtPqCv/TcfXEBJRgJ3Pb6f4dGw/ZybcVtT1UZV3eW93QMcBAqBG4H7vXe7H/iw31IbE6Km26lzqerEzYvbZvDYoNQ1MMKR5h6behmk5mUlMjKm1HcMOB0lkMKunQWTlw42saYojezk4N4q49X77qa+c4DEheXTmsZcXGLr72bI2pkB4McvH6N/eJSObfef+84+Fhft5q7rl3OsuZf736wK+OsHyJzamoiUAeuA7UDu6S2xvNeTnp0TkdtFpEJEKlpaWmab25iQNN0Vwc+KyHPAb70/fxx42j+RAmNXTQeqtp4uWJWkJxDlEk629lGameh0nEAJu3YWLJq7B9lT18V/vXKx01HOqfbtJ1i6+XY2fekerl197up4U01jNlOydmaobe/nge3VfPz8Eu6+25naHVuW5XLZ0hx+9OIRblxbQE74ba0067YmIknAH4Cvqmr3dKfGqupWYCtAeXm5TXcwEeWsnToRWcj42ZGvi8hHgIsZnxf9FvBAAPL5zc6qDtwuYW1JmtNRzCSi3C6KMxI40drHBxdrUO0p5mvh3M6CxcuHxk8WX7481+Ek0zA2yrL8ZHbXdtI3NEpibERVgPUba2dmop+8egwR4StbFnG3r57UW0RsJqLS8in4/E9Y9vF/oP3ZH793vKi4hNqaal8lC6i5tjURiWa8Q/eAqj7iPdwkIvmq2igi+UDz1M9ggo2qEp1Vym+211Dd1kfXwAhjHiUtIZqCtHiW56ewuiiN+Bi301FD2rm+LfwI+CaAt2E9AiAi5d7fXe/XdH60o6qd5fkpkVYyP6TMz0rkZGsfbX3DZCUF95S5OQrbdhYsXjzYTGFaPEtCpCjSyoJUdtV0cqCxm/NtyxVfsXZmAGjoHODhnXXccn4Jeak+HB2bZRGx1460sMd9FX97+xfI9H7WhfgI/Kzbmoz3in8OHFTVeyb86nHgNuBu7/VjfklufKpvaJS99V3sb+im4HP/H9/8415i3C7SE6MRhI7+YYa8a0pjo1xcsiiLK5fncc3qfJLshOaMnetvrExV/2xDJ1Wt8M51DkkjYx721HXyiQ0lTkcxZ1Hm3drgRGtfuHfqwrKdBYvBkTHeONbCx8uLQ2bENz0xhsK0ePY3dFNemh4yuYPcnNqZiBQDvwTyAA+wVVX/VUQygAeBMqAK+JiqdvgutvG1/3jtOKrwN5cucDoKABvKMjjQ0M2bx9u4fk2B03F8YS5tbRNwK7BXRHZ7j32T8c7cQyLyOaAGuNl3cY2vjY552FndQUV1B6MepTQjgepHf8D+lx+lKD0el7dAoarS0jPE3vouXj/aygsHmnjxYDPfffIAHzmvkNsuKmNBdpLDf5rQca5O3dlOYQW2VJQP7W/oZnDEQ3mpnQEPZkmxUeQkx1LV2seG8B6tCMt2FizePN7K4IiHLctCYOrlBCsLU3hufxO1HQOUZCQ4HScczLWdWan1MNDcM8hvd9TyF+cVBbzi5VTiY9yUl6Xz5vE26jsHgibXHMy6ranqG4xP1ZzMllknMgHT0jPEs/tP0d43zMKcJC5akEl6QgzbvvECJZnv/ywTEXJS4tiSEseWZbncdf1y3q3t5NdvVfO7d2r59dvVfHhtIX+3ZdF7J/rN1M5VhWiHiHzhzIPeMyU7/RPJ/yqqvJuOl1mRlGA3LyuRxq5B+odHnY7iT2HZzoLFCweaSYxxc8H80DoxsDA7idgoF/vru5yOEi7m1M6s1Hp4+NnrJxkd8/DFzcExSnfa2uI0kmKj+NOxVlRDvr6HfaZFqCNNPTxYUcvgyBgfXlvAtavySU+ImfbjRYTzStK55+Nr+dOdl/H5S+bz9L5GttzzGt94uJLmnkE/pg995xqp+yrwRxH5JP+vIZYDMcBN/gzmTzurOyhKjyc3/CpNhZ35WYlsP9lOVWt/OG9EHpbtLBiMeZQXDpzi0qU5xEaF1gLsKLeLZfkpVNZ10j88aut/585n7exspdZFZMpS68DtACUlvp36f7oTYNN0z65ncITfbK/h+jUFQVdVOdrtYkNZBi8fbqa6vd/pOHNln2kRaFdNB68fbSU/NY7rVufP+TMrOzmWb16zjM9fPI+fvHqcB7ZX89TeRr6yZRG3XVRGTJTtRHOms/6Nq2oTcJGIbAZWeg8/paov+z2Zn6gqFdUdbFqQ6XQUMw3ZybEkxro50dobtp26cGxnwaKiqp3W3mE+tDLP6Sizsqowld21nRxo6KY8vKcg+52v2lmwlFpXVY419/JubSdN3YMIQm5KLGuL01iYk2QdvEk8uKOW3qFRPn/xfKejTGp5QQo7qtt5+0Sb01HmxD7TIs+u6g5eP9bKwpwkrlqeS5Tbdx2unJQ4vnPDCm67qIzvPrGff3r6IL/bUcNd16/gA4uzffY64WBa3WhVfQV4xc9ZAqK2fYCWniHW2xekkCAizMtM5HBTD6MeD1Gu8D0zE07tLFg8s+8UsVEuNi+ZdPAk6GUkxlCUHk9lfRfnlabjsi/qczaXdhYspdZHxjw8t/8Ux1v6SE+IZm3x+NY8J1v7eHrfKRZkJ3Ll8tA8keEvo2Me/vNPVWyYl8GqolSn40zK7RI2lGXw0qFm4uaXOx1nzkL5M21odIxjzb009wzhUSUzMZYF2Ykkx0U7HS3o7K3v4vVjrSzKSeLqFXnvFUHxtXlZifznZzbw8qEmvvvEAT593ztcv6aAu65fHu7F9KYt4ubzVFR719PZpuMhY152IvsauqnvGAi6KTMmeHk8yrP7TvGBxdkhvdfbmqI0ntrbSFVrH/OtCphjgqXU+phHeXxPA/UdA1y8MIvzStLeG5XbtDCLd2s6+dOxVh7bU49ETX8tS7h7/kAT9Z0DfPv65U5HOatl+SnsqGpn6OK/RDW892gNRqrKnrou3jrexvCYhxi3C5cL9o108/rRFlYVprJpYRbRPhyJCmVVbX28criZ0swErjpXh24W+zhOpah0Pv/1Z8/yb68c5fWjLXz7uuXctK4w4ttL6H7TmaWK6g6SY6NYHCL7VRkoSU8gyiWcbO2zTp2Ztt11nZzqHuQfVob0fk/Mz0okKTaKPXVd1qlzluOl1lWVlw81U9cxwJXLc1mW//4p6S4R1pemkxQbxbP7T5Fx5RetY+D1s9dPUJqZwOVBXgXX7RI2zMvgxcHFJC7ayMDxd+b0fKG8iXmgjY55ePlQMwdP9VCamcDG+ZnkJsciInT2D7OrppM9dV00dg1y/eoCkuIi7iv0+3T0D/PM3lNkJsZwzcp83OcaoZvlPo6TuePKJXzl8kVcsyqPb/yhkjse2sMf363nf920iuIIrhYdcf8jd1Z1sK40/dz/+UzQiHK7KM5I4ERrHx9cbF9QzPQ8u+8U0W4Jua0MzuRyCasKU3nrRBsdfcOkJ9roixOCodT6/oZuDjR2s6Es4886dBMtyUumo3+Y7VzOr9+u5tYLywIRL2jtqulgV00n37l+eUh89i/NS+GZN/ew8jP/xC3nz21/zRDfxDxgPKo8s+8UJ1r7uHB+JueXvX9/0LSEGC5bmsO8rESe2dfIgxW1fKy8KGKnY46OeXhm7ylcAtevKXCsaMmi3GQe/puL+PX2av73M4e48ofb+Oa1y/jUBSUR+V0xosaPu/pHONzUY1MvQ9C8rER6Bkdp7R12OooJAarKM/sauWhBFqnxof+hu6IgBZdAZZ1tbxCpeodGef1YK0Vp8WycxvYcF8zLYOBEBf/09EFqQ7+a4pz8/I2TJMdFcXN5sdNRpsXtErre/B3NPUOcbOtzOk5EeP1IKyda+7h0cTYb5mVM2SGYl5XIR9cXMTzq4bE9DQyNjgU4aXDYdrSVlt4hrliRS4rDHVuXS/j0hWU8f8cHKS9L51uP7uPT971DY9eAo7mcEFGdup014+vpzrciKSFnvnfTyWMtvQ4nCT4icp+INIvIvgnHviMi9SKy23u5xsmMgbavvpva9oGQrXp5psTYKBblJnOgsZvhUY/TcYwDXj3czJhHuWxZzrTOQIsIbc/+Gy4R7np8fzjsfTYrjV0DPLvvFH+5oSSk1tb2HXiV5LgoKqo6IvbfLlAOn+phd10n64rTWOMtOnQ2OclxXLMqj46+YZ7b3xRx/z5Hm3rYW9/F+pJ05mcFz5KAwrR4fvnZDXzvwyupqOrgqh9u49F36yPq3yeiOnXvnOwg2i3vVQozoSMxNorCtHiON1unbhK/AK6e5PgPVXWt9/J0gDM56rHd9US7havDpFMHsKYoleExD4dOdTsdxQRYXUc/x1v62DAvY0Yb+Y71tHLHFYt5+VAzzx9o8mPC4PW7d2rxqPKpjaVOR5kZzxjrS9Jp7BqkodM2XPaX3qFRXjncTF5KHBcvzJr240ozE7l4YRYnW/vYWx85Myj6h0d55XALuSmxXOjk1mDeoitnXlwuF5++sIxj//ZZmo9V8tUHd5PzkX/EnZA66f2LS0LsfeEcQue0lQ9UVLWzsjCV+JjQ2oTYjFuYk8RrR1po7xsmw9YVvUdVt3k3QzaMVwd8orKBDy7OIW0GX4CDXV5KHNnJsVTWdbGqMDUi1wtEIlXlzeNtJMVGcd4sTkj+1UVl/G5HLf/nucNcviw3JNaU+cromIff7ajhg4uzQ7J4wvKCFLafbGdHdTuF6YVOxwlLLx8aHwG/ckXujEvxry1Oo7q9n21HW4nKKPJTwuDy2uEWhkbHuGJZobPvJdMouuJRZVd1B2/LxWSv+gBXrcij5Iz3gXBbcxoxI3WDI2NU1nXZ1MsQtiDbOwXTRuum68siUumdnjnpQlIRuV1EKkSkoqWlJdD5/GL7yTaauoe4cW2B01F8SkRYU5RKW98w9Z2Rt1YgUp1s66Oxa5AN8zJmtaFvlNvFHVcs5lhzL4++W++HhMHrxYPNNHUP8ckLQvNsfLTbxbqSNKrb+mnusdE6X4ubv56TrX1snJ85oxHw00SEK5blEuUSMr2VZsPZseZejjT3csG8TDJDYF84lwjlZRl8/Pxi4qLd/PHdet483orHE77/ThHTqdtb38XwmMc6dSEsOS6avJQ4W1c3PT8FFgBrgUbgB5PdSVW3qmq5qpZnZ2cHMp/fPL67gYQYd9CXLp+NxbnJxEa5rGBKhFBVtp9oJzU+muVnqXZ5LlevyGNlYQo/eulIRK3JfGB7NQWpcVy2NMfpKLO2uiiVGLeLiqoOp6OElZExDxmXfZ60+Og5LclJjI1i04Is4kpX8+ju8D1pMjQ6xiuHm8lOimV9iBUbzE6O5Zbzi1lRkMKOqg4e3lVHz+CI07H8ImI6de+cHC+SEmr/Gc37LcpJoqVniK6B8GyQvqKqTao6pqoe4F5gg9OZAmFodIyn9zZy1Yq8sJxmHe12saIghWMtvfQOjjodx/hZfecAzT1DrC+Z2zY8LpdwxxWLqW0f4MnKBh8mDF5VrX28frSVWzaUhPSU09goN6uLUjnW3EtHv1V/9pUH3q4mOrOYSxZlzfn/x8rCFIYaDvFPTx2kdyg835ffPtFO//AYW5blhGR7ina7uHxZLlevyKO1d4jfbK/hRBgOEERMp66iqp2FOUm2FivELcgZr7RkUzDPTkTyJ/x4E7BvqvuGk9cOt9A9OMoNYTb1cqLVRWmoQmV9p9NRjJ/trO4gPtrNsvzkOT/X5iU5LM5NYuu2E2E/TQzgt+/U4HYJHz8/NLYxOJu1xWm4XMLOahut85VVRal0VzzGPG9l7bkQEdpf3Epr7zD3bjvhg3TBJTqrlD11nawsTCE3Jc7pOHOyJC+Zv9xQQkp8NE9UNpJ68SfDajpmRHTqPB6lorqD88tslC7UpcZHk5Mca526CUTkt8BbwBIRqRORzwHfF5G9IlIJbAb+3tGQAfLo7noyEmNmVMUs1KTGRzM/K5G99V2MjkXOVLpI0943TFVbP6uLUme1lu5MIsLtH1jAoVM9vHYk9NfPFpeUTlrNTkSQqGh+8uy7dB98g7zU+Knv570Eu8TYKFbkp3CwsTtsp40F2vrSDDpeutdn//7DjUe4ZlUe975+gpaeIZ88ZzBQVTKu+Bti3S4uWhAen6tpCTHcXF7E8vwU0jZ9gtt/tTNs2lVEVL883NRDz+CoracLEwtzknjzeBs9gyMkO7zpZTBQ1U9McvjnAQ/ioOKSUhpaOyn60v307HqKmG9f6XQkv1pXksaJXX0caupxOorxk8q6TtwirC5K9dlz3rCmgH957jA/e/0kly4J3XVmAHW1NVNWvzt0qpvn9jfxqVs+RskX/+qczxUKFfDWl6azt6GL3bWdXLIoPNY/T0ZE7gOuA5pVdaX32HeALwCnz0Z8Mxi36fn6VUt5bn8TP375KN+9caXTcXziicpG4kpWcdHCLOKjw2dJQ5TLxeXLcnjjl9/nFdffctNP3uTeT5f7ZOTWSRExUldRZZuOh5OFNgXTnKGutoZP/vh5xB3N337577jn+cNnvYS6wrR4spJi2F1rUzDDkUTFcuhUDwtyEkmI8d2515goF5/aWMIbx1rDcj3JaXvrukiNj6Y4Pd7pKD6TEh/N4pxk9tZ3MTgy5nQcf/oFIbrv6rysRD6xoZjfbK/hZGuf03HmbGh0jO8/e4jhpuOsKJh9oaZgJSL07HqSX31uA229Q9z4b2/w5vFWp2PNid86dd4y6s0ism/CsQwReUFEjnqvAzIfckdVB7kpsRSF0Rt8JEtPiCE7KZbDNkphJtjf2E1uSixZIVBqea5EhLXFabT1DhNXstrpOMbHEpZsYmjUw6pC343Snfax84uJdgsPbK/x+XMHg9beIRq6Blkdhns5ri9NZ2RMqQzjza5VdRvQ7nSO2fq7LYuIdrv48ctHnY4yZ79+u4a6jgE6Xv1PXGHWlia6aEEWj3/5YnJT4vir+3bw+J7QLSblz5G6X/DnZ1vuBF5S1UXAS96f/a6iqp3zyzLC7g0+ki3NS6ape8iqgRkAYnIX0NY7PKey76FmSW4y8dFukstvcDqK8bGktVeRFh9NYZrvT0TmJMdx1Yo8fl9Ry8Bw+I347K3vwu0SloXhe0F2ciylmQnsrumMxPW059x3FZzfezUnOY6/vKCEx3Y3UNPWH/DX95XuwRH+7eWjXLIoi8Gq3U7H8R9xISKUZCby8jevpfvkHv7ut++SesFHzrkWd+KluCQ49sL025o6Vd0mImVnHL4RuNR7+37gVeAb/soAUNfRT0PXIH9tUy/DyuLcZF4/1srhUz1snJ/pdBzjsKTVV+B2CUty514lMFREuV2sKkxl+/AGqtv6KM0M7bUAZtyRph7iilaw0o8jTZ/aWMqTlY08UdnAx8pDvzrkacOjHg419rAoJykstzQBKC9N5w+76jnQ2M3qotnvrxZifgp8D1Dv9Q+Az052R1XdCmwFKC8vd6Ss4e0fmM+v3q7mp68d458/EpozKf791eN09I/wjauX8munw/iTet63JGN0zMPzB5o4uvlzbLnta1y8MGta78PBsi430GvqclW1EcB7PeVKbV+dbdl+wtbThaOkuCiK0uM5dKonIspzm6kNjoyRsPxSFuYkERtGC7mnY1VRKnjG+MWbVU5HMT7y23dq0LERn2xjMJUL5mWwKCeJB96u9ttrOOFIUw/DY/6ZthosCtPiyU2JZVdNJ54I+ewLtX1Xc1Pi+Hh5MQ/vrKO+c8DpODN2qmuQ+/50khvXFrAyjNvSZKLcLj60Mo/VRansqunk1SMtIfUdM2gLpajqVlUtV9Xy7OzZV3p660Qb6QnRLM2LnDP4kWJpXjJdAyM0dYdP+WAzc4/vacAdl8TKYFzI7Z3aMZPLTCTFRtF36A1+X1EXNiWZI5nHo7x4sIn+I2/5tEDKmUSET15Qwp66LvbWhcf6LFVlb30XmUkx5KeG9l5aZyMirC9Np2tghOMRUiwsFPdd/ZtLF6AKW1877nSUGfvRi0cY8yj/NUhGnwJNRLh0cTbnlaRRWdfFS4eaQ6ZjF+gtDZpEJF9VG72NtNnfL/j2iTYumJeJy2Xr6cLNwpwkXjncwqFT3U5HMQ5RVX71VjXDLdUUpi10Os6fO2Nqx3TMdBpHT8XjJK3YzO8r6vjsxfNm9FgTXFwu4bmvfoCU790MX/6cX1/rpvOK+F/PHOL3O2vHR3xDXFPPEM09Q1y6JDvs188vyE4iLT6aiuoOFuYkhdWf17vv6qVAlojUAXcBl4rIWsanX1YBf+1YwGkqTIvnL84r4rc7avnS5oXkhMim3UebenioopbbLiqjOCPB6TiOEREuXphFlMvFO1XteFS5Yllu0Le1QI/UPQ7c5r19G/CYP1+str2fuo4BLlxga67CUWyUm3mZiRxp6gVXZE27M+N213ayt76LnnefCvo3W38ZPnWU9aXp3P9WFWOe0DibaKaWEBPFWK//i/+lxkdz1Yo8HtvdEBYl8vfWdRHtloiYlePyjtY19wxR2xF60/vORlU/oar5qhqtqkWq+nNVvVVVV6nqalW94fQynmD3xc0LGB3zsHXbCaejTNv3nztMYkwU/+WyRU5HcZyIcOGCTDbOy+BgYw+vHj7LVMxZzMrxR9EVv43UTXG25W7gIRH5HFAD3Oyv14fxqZeAFdIIY8sKkjnW0kv8wqCeYm/85FdvVZMUG0XN/lecjuKoz2wq48u/eZdXDjVz+fJcp+OYEHHz+iKe2NPAiwebuG51gdNxZm1wZIwjTT0szUsmNioyTvAtzUvmrRNt7KzuoCSCR1SCWWlmIjeuLeSB7TV8cfNCMhJjnI50VhVV7bxwoImvX7Uk6LMG0oZ5GYyMKTtrOoiJcrFpYdaf32kWs3KmMpeiK34bqZvibEubqm5R1UXea7+ejnz7eBuZiTEszk3y58sYB5VlJJIUG0Xy6qucjmICrK13iCcrG/nIeYXocHidrZ6pq1bkkZ8ax31/Oul0FBNCNi3MIj81jod31jkdZU4Oneph1KNhMY10uqLcLtYVp1HT3k9z96DTccwUvnjpAgZGxvhFkL83qyr/6+mD5CTH8plNZU7HCSoiwqaFmawsTKGiuoOKquDdRjFoC6XMlary9ok2Ns7PjNhpWZHA5RKW56cQN/+8kKwyZWbvwYpahsc83LoxOPaHcVK028WnLyzjzeNt7AvjjYmNb7ldwl+cV8S2Iy2c6grNjoGqsreui7yUOHKSQ2Pdkq+sKkwlxu1iZ3WH01HMFBblJnPVilx+8WZVUBezev5AE7tqOvn7Kxb7tUhTqBIRNi/JYUluMn863saBxuCs5RAWnbriktI/m5Mak1FAQ9cgv/zBt/xWec4EhxXeqocP7ah1OIkJlOFRD/e/WcWmhZksiqC96c7mkxtLSI6N4t9DsNqacc5H1xfhUXjk3dAcravvHKC9fzistzGYSmy0m1WFqRxt7qVrIHg7DJHuS5sX0j04yq/frnE6yqRGxzx8/9lDLMhO5Ob1RU7HCVouEa5YnktxejwvHWyitj34NpcPi+54XW3Nn81l3Vc/Xob0q9/+32Qk/nDazxUsGwia6UuJj2awaje/r0jg77Yswm2VTsPe43saaOoe4vsfXeN0lKCREhfNJzeWsnXbcapa+yjLss3IzbmVZSVyflk6D++s428/uCDkTm5W1nURG+ViUYQus1hbksbu2k52VXeweemUW/8aB60uSuOSRVn8/I0TfGZTGXFBtp/qQxV1HG/p4z9uXU+UOyzGevzG7RKuXZXPQzvreHJvIx8vLw6q9Ydh+69X1zlAQoyb9IRop6OYAOjd8xwNXYNsOzL7jepNaFBV7t12giW5yXxg0SQLliPYZy8uI8rt4j9CqNqacd7N64s50dLHrppOnuU7RAAAIABJREFUp6PMSN/QKMdbellekEJ0hH4ZTYqNYml+Mvsbu+kfHnU6jpnClzcvpLV3mN+9E1yjdf3Do/zoxSOsL03nSiuyNS2x0W5uXFNAlEt4bHc9fUPB0+7C8l1QVanr6KcoPT7kzjqa2ek/up2spFh+8WaV01GMn2072srhph6+8IH51r7PkJMcx83ri/jDzjornmCm7ZrV+cRHu3l4Z2hNYd/X0IVHiciplxOtL0lnzKPsqbX1tMHqgvmZnF+WztZtJxge9Tgd5z33vXGS5p4h/tuHltrn6QykxEdzw5oC+ofHeHpvI7iCY+JjWHbqOgdG6BsaoyjNyvxGDM8on76wlNeOtHC0qcfpNMaPtm47Tm5KLDesCd0S7P50+wfmM+rx8PMgr7ZmgkdSbBTXrMrnyT2NDAyHyJ514mJffTclGQmkJwTP9CcnpCfGsCA7kT11nUHVYTDv98XNC2noGuTRd+udjgJAa+8Q//7aCa5Ynkt5WYbTcUJObkocly/L/f/bu+/wOKqz4cO/Z9V7s2xJluQm924L4wbYgI1NM4SaAAm8JBAMIcQfL4GUlxBCSIMEQgJx6AEMhGY6prli4967LduSZVuS5SJZVj/fHzMCIVTW0u7O7uq5r2svzc7Ozjwa6cyZM6dReKySpLNvdDocIEgLdQWl1iiImclRDkeifOma07OJCHXpsO4BrrmBjxpeEel9WbLzMFvffoKIsBAd4KgZPVJiuGBYBi8u26eDJyi3XZGbSVlVLR9uCoh5nYnKOZ3yqlqGdaJpDFozukcSVbX1bCzU2jp/NalfKoMz4nl8wS7q6luYxNqHHvlkBydr6rh7+gCnQwlY/dPiGJmdSPzoi/xiREz/qC/0sPwjFcRGhJIYpf3pOpOU2Ai+MyqTN1YXcOfU/qTERjgdkmqH5gY+avDOukL2Hz3JPffeT0To779arwMcfdMtZ/XhnXWFPLMkjzvO7ed0OCoAjOmZTHZyNP9dWcClI/1/BLy4UecTFxlKLx0QCID0hCi6J0axZt9Rhmcm6oBhfkhEuHVyDjNfXM37Gw5wkYOtTXYWlfPS8n1cc3o2fVI75yBDnjKxTxeWLlrAZ64RpMSE0y3eualVgq6mrt4Y9pVWkJ0crU/wO6EbJ/akqraeF7/0r87IquOKyirZXXKCkdmJRIT61+hh/mZQRjzTBqfx5KI8jpyodjocFQBcLuGK0Zl8seuwXw7V3diu4nKieo5kSPcEXJrPf2V0jyTKq2rZrl0Q/Na0wWn0SY3hH5/vxBjnauv+8MFWosJC+Ok5fR2LIVi4XELx3D8SFRbCexsOUFXjXBP2oCvUFR2voqq2nh4p2p+uM8rpGsek/qk8v3RP4PQN6SAReVpEikRkY6N1ySLysYjssH8mORmjJyzPKyU81MWIzESnQwkIs6b240R1LU8s1HnrlHsuG52JCLy2yr/nrHth2V5MXQ2D0+OdDsWv9EyJJiU2nFV7jzhaYFAtc7mEWyblsPVgGZ9uKXIkhqW7DvPJlkPMnNxHWzR5SP3J41wwNJ0TVbV8sqXIsfQXdIW6vYdPAJCVrIW6zmrmJGvo4BeW7XU6FF95FpjWZN3dwKfGmL7Ap/b7gFVcVsWu4hOMzEokws/m+PFX/brFMWN4Bs99sUdHwlRuyUiM4oy+qby2qoB6P+jz05yK6lpeW1VAxbYlxEQEZQ+SdhMRcrOTOHyimjz7Xkj5nxkjMshMiuKvn2z3eTqrrzf8/v0tZCRE8j8Tevn02MEuLSGScX1S2Flczsb9zvSvC75CXWkF3eIjiNIbv05rTK9kzujbhccX7PKr+UO8xRizEChtsnoG8Jy9/BxwiU+D8rAVe0oJD3ExIktr6U7FHef2o6bO8I/PdzodigoQV+Zmsv/oSb7YddjpUJo1d20hZZW1lK1+3+lQ/FLfbnHERYayas8Rp0NRLQgLcTFrSj82FR7nvQ2+HZjotVUFbNh/jDvP6+93k6AHg9HZSWQnR7NgRzEl5VU+P35QFeqqaus4eLySbK2l6/RmTelH6YnqzjxvXTdjzAEA+2fX5jYSkZtEZKWIrCwu9s+J2w+XV7GjqJzhWQmaCTVHXC2OFtorNZajq9/n2cW7CEvJ/Gp9VnYPp6NWfmrKoG4kRofx6kr/m7POGMPTi/MYmB5P1f7NTofjl0JcwsisRAqPVVJ49KTT4agWzBjRnf7d4nho3jZq6nwzDcXRimr+8OFWcnskccmI7j45ZmcjIkwd1I2IUBcfbDjos79tg6Bqu5BfehJjoEeyjobV2Y3MTuLsAV2ZvXA3143rQXykjoTaHGPMbGA2QG5url+2t1q2u5SwEGFkdsB3C/QOU9/iaKEAJ6pqeX7pXsbf/Z+vMnIdLVS1JCI0hEtGdOel5fs4VlFDQrT/XDsX7ihhR1E5D10xnA+dDsaPDemewPK8Ulbt1do6fxXiEu6a1p8bn1vJyyvyuW6s9x+0/WXeNo5WVPPbGafj0tFRvSYmIpTzBqfx5pr9LNhezLkDu/ns2EFVU7e39AThIS7SEpwbTlT5j1lT+nHsZA3/WtApB4o4JCLpAPZPZ3pkd9DB45XsLC5nVHaSNqlup5iIUE7vlczewxXklWg/G9W2y0dnUl1bz9vr/GOS5AZPLtpN17gIR4eCDwRhIS6GZSWyu+QEoSn+Pz1FY51l4C+Aswd05bSeSTz66Q6vdxVZX3CUF7/cxw/G92RQhg4w5G3ZydHk9khiU+FxdhWX++y4QVOoM8aw73AFmUlROj+LAqynlZeMyODfi/LYd9i/h+j2greBH9jLPwDmOhhLu32xq4SosBBGaS1dhwzPSiQpOoyF24v9YtJb5d+GdE9gUHo8r670n1Ewtx48zqIdJfxgfE/CQ4Pm1sVrhmcmEOoSEsZc5nQop+pZgnzgrwYiwj3nD6S4rIq/f+a9fs/VtfXc/foGUmIi+NkUnbfUV8b2TiE1NoJPtxRRUe2b8R2C5sp4pKKG45W1OpWB+oa7pw8k1CU88H7w9r8QkTnAUqC/iBSIyI3AH4ApIrIDmGK/Dyj7SivILz3JaT2T9Caug0Jcwpl9Uzl6skabZCm3XJmbyYb9x9hc6Mwobk09tSiPqLAQrjk92+lQAkJ0eCiDMuKJGTyJA8cCp29dZxj4q7FR2UlcPjqTpxbv9lqNzmOf72TzgeM8cOkQ7YriQyEuYergblTX1vPZVt9McxA0d0q7S6zE0KuL9qdTX0tLiOTWyTl8tOkQn2095HQ4XmGM+a4xJt0YE2aMyTTGPGWMOWyMOccY09f+2TST9GvGGL7YVUJcZChDuyc4HU5Q6Nklhr5dY/ky7zBhXXq0OLhKSy8dXKVzmTGiO+EhLr8YMKWorJK5awu5IjeTxOhwp8MJGKOyk0BcPLkoz+lQOsqtgb8gMAb/aurn0wYQGRbC/83d6LEb/6xs6xofkd6XRz7eSvnGz5g2JP2Ur/si2vKtI7rERjCuTwq7ik+w9WCZ148XNAOl5JWcIDU2gjh9CqGa+NEZvXl7bSG/eGMj82Yl65OqALCr+ASHjldx7sCuhIYEzbMnx03qn0rBkZOkTP8pd15z/il1lu/sg6uIyNPAhUCRMWaIvS4ZeAXoCewBrjTGBEVVaFJMOOcPTeP1VQX873n9HZ0T7oWle6mpr+cGnVfrlCREhXFi8wJeCA/j5jN70zU++McbCITBv5pKjYvg59MG8Ku3NvLS8n1cc3rHH6AV5O/jTx9sYc6KfKpr6/nxzB8S+dOb27Wvzn7t76iR2YnsLiln/rZiuidFefUeNCjullyRcRw4Wqm1dKpZ4aEu/nj5MIrKKvn9e1ucDke1xRXCkl0lJEeHMzBNO3R7UnR4KJP6pxKR0Y/V+UFR9vClZ+kkfX0afH98T8qqanlzjXMDppRX1fL8sr2cO7Cb5vHtcGzJHGrrDY8H9oBhQTHwV2uuOT2biTldeOC9LeSXemYMgM+2FVF6oppzB3bV6YAc5BJh6qA0DIaPNx/yajPMoCjURfUejUGbXqqWjchK5KYz+/Dyinze9/Fkn+rUxI2YztGKGib0TdFhl72gb9dYTmxbwrJdpRQdr3Q6nIDR2fr6AIzMSmRI93ieX7rHJ/1BmvOfpXs5WlHDbZNzHDl+oKs9eoDLRnXnxS/3cfBYwKb3oBj4qzUiwh8uG0qICDNfXE1lTV2H9hc7fBpbDpQxplcyPVL03thpCVFhnNnXaimzfv8xrx0nOAp1OWOIDg+hW3yE06EoPzZrSj+GZyXy89fXe+xJmPKsYxU1JEz8HlnJUfTSjMgrRITSDx8jKjyE9zcepLrWt5OjBpmg7usjInx/XE+2Hypn2W7fd8utqK7l34t2c1a/VIZnJfr8+MHiJ2f3pb7e8M/53hth0VOCdeAvd2QmRfPQlcPZsP8Y987d1O4HKZ9vLSJ56i30SInm9F7JHo5StdfgjHiyk6NZsrOE4ydrvHKMgC/UVdfWE9V7NL26xGiHTtWq8FAXf796JAA/en4lZZXeSVSq/R79bAeuyFjOyEnV9OxF9ZVlTBucxvGTNT4blauzM8bMNsbkGmNyU1NTnQ7HbRcPzyAxOoznl+7x+bFf+nIfpSequf0craXriKzkaK7IzeLl5fnsP+rfI2EG7MBf4mrXICRNXzdOP53bJufwysp8/vbJjlMOY8WeUma+uJrqojymD0nDpfmo3xARzhloPff7ZKt3mmEG/EApK/aU4oqI0aaXyi3ZKdH885pRXP/MCm6fs4Z/fz/3GwNxZGX3oCB/n0eOlZmVTf6+vR7ZV2eQV3KC55fuoXz9x6See5vT4QS97klRjO2dwtLdh8lIjGRYptaEtMMhEUk3xhwI1r4+kWEhXJWbxZOL88gvrSAr2TfTBlXW1PHEgt1MyElhdA+tbeio287O4bVV+fzj8538/tKhTocTfEw9D8/b1uHdzJran1lT+nHweCWPfLqDEJfwk7Nz3HrI+cnmQ9z60mq6J0ax/eHfEHHN9A7HozwrPjKMiTld+HxbMZsKjzPEw6N7B3yh7pMthzC11WT7KKNRge+Mvqn8dsZgfvnmRu5/dzO/uXjwVxfMgvx9Hrkwg44YdaoefH8L4SEuji76D8zSQp0v5PZMovDYSRZsLyYlNoLuiVFOhxRoGvr6/IEg7esDcP2Enjy9JI/ZC3dz/yVDfHLM/yzdS0l5FY+dPdInxwt23ROjuPq0bOYs38ctZ/XxWeFcnTqXS/jjZcOoqzc8/PF2th8q48HvDG1xdPfq2noe+XQ7j8/fxZDuCTxz/Wl0+d+jPo5auWto9wR2FJWzaEcJPVKiPTpqf8A3v5w5KYeiN35HmA57rk7BNaf34Edn9OK5pXv544fbtPmZw5buOsy8zYeYOTmH+hOaGfmKS4Tpg9OIjwrjvfUHtElyKzpzX5/0hCguG5XJKyvzKSrz/mAbRyuq+ftnOzirXypje6d4/Xidxa2Tc3C5hEc/PfVmfcq3QlzCw1cO5+fTBvDehgNM+vN8nlqcx6FGg1uVnqjmpS/3cd7fFvKPz3dxxegs5vxoLCmxOr6EPxMRzh3YjXpj+NTD3R8CvqYuNS6CyrzVToehAtA90wdSUV3HEwt2IQJ3nac1a06oqzf87r3NdE+M4saJvdA6Ot+KCAvhomEZvLIin3fXH+CK0Zk6N2AzjDHfbeGjc3waiEN+fFYfXl2Zz1OL8rjn/IFePdZjn+2kvKqWe84f4NXjdDZpCZFcN7YHzyzJ40dn9qZftzinQ1KtEBFumdSH8X1S+P37W7j/3c3c/+5mUmLCCXEJRWVVAAzpHs/T1+dy9oBuDkes3JUQFcaEnC4s2F7MloNlDEr3zPRNAV+oU6q9XC7h/hlDMMDj83dxsroORG9mfe2N1QVsKjzOI1eP0Ll0HJIcE855g7vxzvoDfLq1iKmDuulANeobenaJ4cJhGbywbC+3TOpDYnS4V46TX1rB80v3cvnoTAboPJUed9vkHF5dmc+D72/hmRvGOB2OcsPwrERevmks2w6VMX9bMftKK6ipradP11hO65nMqOxEvV4HoOGZCWw/VMbC7cVkJ0cTG9HxIpkjhToR2QOUAXVArTEm14k4lHK5hN/NGEJUWAhPLc4j9ZJ7qKmr1+a8PlJWWcOfPtrGiKxELh6e4XQ4nVrv1FjG2QOnpMZGMKpHktMhKT9zy6Q+vL2ukKcX53mtz/AfP9yKywWzpmjLCW9Iignntsk5PPjBVr7YWcL4nC5Oh6TcICIMSIvXBx1BRESYMqgbL365j8+3FnHhsPQOF86dvHOdbIwZoQU65TSXS/j1hYO496JBRPU9nddXF1BRXet0WEEhK7tHq8M397hgJkXHT/LB727A5XLp00aHndYziZzUWBbvLGHv4RNOh6P8zMD0eM4fmsa/F+V5ZeL6xTtKeHf9AW46sw9pCZEe37+y/GB8T7onRvHA+1uor9f+5Eo5JSk6nHG9U9hdcoLth8o7vD9tfqmU7YYJvbj1hu8RdvmveWVFPhcNz6CLdjjukNZGEz1cXsWLy/cxOD2eO55/96v1OmqocxqeHB5ZVc0HGw9y9WlZXmtmpwLTXecN4OPNh/jrJ9t58DvDPLbfypo6fj13Iz1Topk5qY/H9qu+LTIshP89rz93vLKWuev2c+nITKdDUqrTGpmdyM6icuZvLyIzqWMjUDtVU2eAeSKySkRuam4DEblJRFaKyMri4mIfh6cCjocm/jy5YxmXjc6krt7w6sp88kq0tsIbjDHM31ZMRIiL8X20+Y8/CQ91cdGwDAR4d/0BqmvrnQ5J+ZGeXWK4bmxPXlmRz6bCYx7b76Of7iCv5AS/u2So9q31gYuHZzCkezx/+Wg7lTV1ToejVKflEuHcgV2pqTXM396x8o5TNXUTjDGFItIV+FhEthpjFjbewBgzG5gNkJubq+0DVOs8OPFnWnwkV5+WzTvrC3l7XSFn5HRhpHZE9qgdReUUHD3J5P6pRIXrDZy/SYgKY/rQdN5as595mw9ywdB0p0NSfuT2c3J4e91+7n59A2/OHN/h0VKX55Xy+IJdXJmbycS++pDHF1wu4VcXDOLq2ct4fP4ufjaln9MhKdVppcRGMKZ3Mkt3HSa6/4R278eRmjpjTKH9swh4E9AhmJRfiY0M5fLRmeR0jWXRzhI+2VJEnfY98Ijq2noW7Siha1wEQ7onOB2OakF2cjQT+3ZhV/EJlu8pdToc5UcSo8O57+IhbNh/jKcW53VoX8cqapj16lqyk6O596LBHopQuWNs7xQuHp7B4wt2aR9apRyWm51E366x1JUfafc+fF6oE5EYEYlrWAamAht9HYdSbQkLcXH+kDTG9Epm84HjvLFGB1DxhOV7SimvqmVS/1RcWvvp10ZmJTIgLY5lu0uJytFnb+pr5w9NY+qgbjw0bzvr8o+2ax+1dfXcNmc1h45X8terRhDjgSG91an55QUDCXMJv3l7k0cnQVZKnRqXSzh/aDpV+ze3fx8ejMdd3YDFIrIOWA68Z4z50IE4lGqTiDCudwrTBqdx6HgVr6zIp6S8yumwAlbpiWrW7DvCoPR40hM61iFYeZ+IcM6ArnSNi6DLhf+P3cUdH51LBQcR4Y+XDSM1LoKZL66m9ET1KX3fGMPv3tvCoh0l/O6SIYzK1ik0nNAtPpI7zu3H59uK+WRLkdPhKKU6wOeFOmPMbmPMcPs12BjzgK9jUOpU9U+L4/JR1gAq/11ZQH5phdMhBRxjDPO3FxEa4mJCTorT4Sg3hYa4uGBYOqaulpv/s4oTVVpbrSxJMeE8fu0oisuquOHZFRyvrHHre8YYHvxgK89+sYcfTuzFVadlezlS1ZrrJ/Skb9dY7ntnkw6aolQA0xmWlXJTWkIkV52WRVxkKHPXFQbEyJgiskdENojIWhFZ6WQsWw+WkV96kvF9UogO12ZWgSQ+MoySt//EruJy7np9vTbTUl8ZlpnIY98byebCY1z31HKKy1pvyVBZU8ddr61n9sLd/GBcD355wUAfRapaEhbi4rczhlBw5CSPfLrD6XCUUu2khTqlTkFcZBiXjcokJSacd9cXsqOozOmQ3DHZGDPCGJPrVAAnq+tYuKOY9IRIhungKAGpcu867po2gPfWH+DJRR0bHEMFl6mD0/jH90ax5cBxpj+ykA83Hmx2UusvdpZwyT+W8N9VBdx+dg6/uXiwjirsJ8b1SeGK0Zn8a8GudveRVEo5Sx+XK3WKosJD+M6o7sxdW8gHGw5SP9hqnqlatmhnMdW19Zw9oKvexAWwm8/szbr8ozz4wRYGZ8QzPkeHn1eWqYPTeOe2ifz05TX8+IVV9E6NYdrgNLrGRXDgeCWLd5SwqfA46QmRPHPDaUzu39XpkFUTv7pwEIt2lHDnf9fx7u0TiQj1r+lmRGQPUAbUAbVOPqhUyh9pTZ1S7RARGsIlI7qTkRjFR5sPsst/B5AwwDwRWSUiNzX9UERuEpGVIrKyuLhjk162ZF9pBVsOlDG6RxJdYiO8cgzlGyLCn68YTu/UWG6bs4bCoyedDkm1RlyIiEdeWdk92jxc/7Q43r5tIn+7agRJ0eH8a+FufvPOZp5alEd0eAj3XTyYgn/dxNkDunU4HuWmU/gfSIwOZ91Td7OjqJy0s2845b+/jzje8kQpf6U1dUq1U3ioi4uHZ/DGmgI+2HCQi0dkkJ0c7XRYTU0wxhSKSFfgYxHZaoxZ2PChMWY2MBsgNzfX4x2lJDScz7YWkRAVxpieyZ7evXJAbEQo/7puNDMeW8ItL6zilZvHERnmX0/0lc3U8/C8bR7Z1ayp/d3aLjzUxSUju3PJyO5U19ZTVllDbGToV7U+1+/d7ZGY3I2n02vH/8C8zQfZOuEqbv7pnXSLjwT0fCsVCLSmTqkOCA91ccmI7iTGhPHOukIOHPOvmgtjTKH9swh4E/DpZGMJ467i2MkazhnQldAQvdwEiz6psTx05XDWFRzjvnc2OR2O8lPhoS5SYiP8rhmfat1ZfVOJDg9h3qZD1NTVOx1OY622PFGqs9O7LKU6KDIshEtHdCcmIpS5aws57Cfz2IlIjIjENSwDU4GNvjr++oKjxI+9nIHpcWT5Xw2m6qDzBqdx6+Q+zFmez5zl+5wORynlIRFhIUwdlEZpRTULtnunWX47TTDGjAKmA7eKyJlNN/BFlwKl/JUW6pTygJiIUL4zsjshLmHuukLK/WMur27AYhFZBywH3jPGfOiLA1fW1DHr1XXUnTjCWX1TfXFI5YBZU/pzRt8u3Dt3E2t1xDylgkZ2cjSn9UxiU+Fxth30j1Ge3Wl5YoyZbYzJNcbkpqZq3qM6Fy3UKeUh8VFhzBieQWVNHXPX7kfCoxyNxxiz2xgz3H4NNsY84KtjPzRvGzuLyjn8/iNEaH+roBXiEh69eiRd4yO45YVVlPhJLbVSquPG9kohPSGSz7YWEZqU4WgsTrc8USoQaKFOKQ/qGh/JBUPTOXyimtihU5wOxxFf7j7Mk4vzuHZsNpV71jgdjvKypJhwnrh2NKUnqvnJS2uo9a8+OEqpdnK5hGlD0nAJpF5yDxXVjrZAcazliVKBQgt1SnlYj5QYrj4ti7JVbzsdis+VV9Vy52vryE6O5p7pA50OR/nIkO4JPHDpUJbuPsyfPvLMaItKKefFR4YxbUgamHqOVtQ4FoeTLU+UChRaqFPKC7rGRTodgs8ZY/jlmxvYf+QkD10xnJgInTGlM7l8dCbfH9eD2Qt38+qKfKfDUUp5SI+UGA489zMyEp3tUqCUap3edSmlPOKVFfnMXVvInVP7katz0nVKv7pgEHklJ7j7jfXERoZy/tB0p0NSSnmC0WbVSvk7ralTSnXYlgPHufftTZzRtwszJ+U4HY5ySHioi39dN5pR2Un89OU1zN9W5HRISimlVKeghTqlVIccrajmlhdWER8VxsNXjsDlEqdDUt4gLkSkzVdMRBhv/Gwq5ft38IMnv+DDjQecjlwppZQKetr8UinVbjV19cx8cTWFRyuZc9PppMZFOB2S8hZTz8Pz3B8EpbKmjkfmvMfMF8P4/aVDuXpMtheDU0oppTo3ralTSrXbb9/ZzBe7DvP77wxldA/tR6e+FhkWQtErv+KMvqnc/cYGHvxgi053oJRSSnmJFuqUUu3yz/k7+c+yvdx8Zm8uH53pdDjKD5maKv79/VyuOT2bfy3YzXVPLae4TCcoV0oppTxNC3VKqVP23Bd7+NOH25gxIoO7pg1wOhzlx8JDXTxw6VD+fPkwVu87wvRHFvLe+gMYY5wOTSmllAoaWqhTSp2SV1fkc+/bm5gyqBt/uWI4ITowinLDFblZvHXrBNITorj1pdXc9J9V5JdWOB2WUkopFRR0oBSllFuMMcxeuJsHP9jKGX278Nj3RhIWos+FVCvsETObros/7RI+qvke8zYUULbmA44tfZX6iqNkZmWTv2+vM7EqpZRSAUwLdUqpNtXXGx54fwtPLc7jwmHpPHTlcCJCQ5wOS/m7VkbMLK+s5cu8w2wKvZikMTMYkBbHx/df6+MAlVJKqeCgj9mVUm1aufcITy3O4/rxPXn06pFaoFMdFhsZyjkDu3Hd2B4MTI9j68EyMm78J9/55xJeWLaXoxXVToeolFJKBQwt1Cml2jSmVzJv3TqBey8apJOLK49Kig7nnAHduHFCL458/gzlVbX86q2NjHngU254ZjkvLNvLgWMnnQ5TKaWU8mva/FIp5ZYRWYlOh6CCWFR4CMeXv85Hy/7LpsLjvLVmP/M2H+LzbRv51VswOCOeyf27Mj4nhVHZSUSGaW2xUkop1UALdUopt2Vl96Agf5/TYahgJS5crm82IAlLySIqZwyrcsawsWAAj30eQn1NFVX7N1O5Zx3xJw+Qv26xQwErpZRS/kELdUoptxXk72tx4IvmzJra34vRqKDTysAqAFW1dew/epL80pPkJ8VxuOfZBOrQAAASY0lEQVRIKveu82GASimllH/SQp1SSqmAEBEaQu8usfTuEgtARXUt9z15C/ALZwNTSimlHObIQCkiMk1EtonIThG524kYlOoMNK2pYBYdHkrN4Xynw9B0ppQPaDpTqnU+L9SJSAjwD2A6MAj4rogM8nUcSgU7TWtKeZ+mM6W8T9OZUm1zoqZuDLDTGLPbGFMNvAzMcCAOpYKdpjWlvE/TmVLep+lMqTaIMca3BxS5HJhmjPmh/f464HRjzG1NtrsJuMl+2x9wf3QG3+sClDgdRDto3L7VNO4exphUbx3MnbTWjnTmL+de4/g2f4nFX+IAK5YYp9OZvd6f8zR/+pt5g/5+vuG1PK0D6eww/nFuwH/+Tv4SB/hPLP4SB7QdS4vpzImBUpqbufhbJUtjzGxgtvfD6TgRWWmMyXU6jlOlcfuWA3G3mdZONZ35y7nXOL7NX2Lxlzjgq1h6evswzawLqDzNn/5m3qC/X1BoVzrzp3PjL7H4SxzgP7H4SxzQsVicaH5ZAGQ1ep8JFDoQh1LBTtOaUt6n6Uwp79N0plQbnCjUrQD6ikgvEQkHrgbediAOpYKdpjWlvE/TmVLep+lMqTb4vPmlMaZWRG4DPgJCgKeNMZt8HYeH+WWTGjdo3L7l07i9lNb85dxrHN/mL7H4Sxzgg1iCJE/zp7+ZN+jvF+A6kM786dz4Syz+Egf4Tyz+Egd0IBafD5SilFJKKaWUUspzHJl8XCmllFJKKaWUZ2ihTimllFJKKaUCmBbqOkhE9ojIBhFZKyIrnY7HXSKSKCKvichWEdkiIuOcjqktItLfPs8Nr+MicofTcblDRH4mIptEZKOIzBGRSKdjao6IZInI5/b/xCYR+Wkz24iIPCoiO0VkvYiMcjCWSSJyrNH/xP95IY5IEVkuIuvsOO5rZhtfnRN3YvH6OWl0rBARWSMi7zbzmU/OiRtx+Ox8BBp30liga+1/IxgEYl7uDSIyTUS22debu5v53FfX6Lbi8Mn1SESeFpEiEdnYwue+vD63FYuvzolf3N949d7GGKOvDryAPUAXp+NoR9zPAT+0l8OBRKdjOsX4Q4CDWJMwOh5PG7F2B/KAKPv9q8D1TsfVQqzpwCh7OQ7YDgxqss35wAdY8waNBb50MJZJwLtePicCxNrLYcCXwFiHzok7sXj9nDQ61izgpeaO56tz4kYcPjsfgfZyJ40F+qu1/41geAV6Xu6hcxAC7AJ62+dgnRP5lptx+OR6BJwJjAI2tvC5L6/PbcXiq3PiF/c33ry30Zq6TkhE4rES2VMAxphqY8xRZ6M6ZecAu4wxe50OxE2hQJSIhALR+On8OsaYA8aY1fZyGbAFq1Da2AzgeWNZBiSKSLpDsXid/XuW22/D7FfTEaZ8dU7cicUnRCQTuAB4soVNfHJO3IhDtcBf0pi3BPv/RpDk5Z4wBthpjNltjKkGXsa6/jTmi+uRO3H4hDFmIVDayiY+uT67GYtP+Mv9jTevu1qo6zgDzBORVSJyk9PBuKk3UAw8YzdLeVJEYpwO6hRdDcxxOgh3GGP2A38B9gEHgGPGmHnORtU2EekJjMSqDWqsO5Df6H0BXr4RbCUWgHF2c8QPRGSwl44fIiJrgSLgY2OMY+fEjVjAB+cE+BtwF1Dfwue+OidtxQG+OR8BrY00Fqjc+d8IZMGQl3uCO9caX1yP3D2GP1yPfJ6Pt8Gn58Rf7m88fW+jhbqOm2CMGQVMB24VkTOdDsgNoVhV4Y8bY0YCJ4Bvtf32V2JNPHox8F+nY3GHiCRhPf3pBWQAMSJyrbNRtU5EYoHXgTuMMcebftzMV7xWW9RGLKuxmuAOB/4OvOWNGIwxdcaYEUAmMEZEhjQNs7mvORSL18+JiFwIFBljVrW2WTPrPHpO3IzDJ/8jgayNNBaQ3PzfCHQBnZd7kDvXGl9co905hr9cj3yaj7fBp+fEX+5vvHFvo4W6DjLGFNo/i4A3sarf/V0BUNDoCf9rWBlDoJgOrDbGHHI6EDedC+QZY4qNMTXAG8B4h2NqkYiEYV1oXjTGvNHMJgVAVqP3mXipOWlbsRhjjjc0RzTGvA+EiUgXb8RiH+MoMB+Y1uQjn52TtmLx0TmZAFwsInuwmhidLSIvNNnGF+ekzTh8/T8SaNxI74HKnf/RQBfoebmnuHOt8cX1qM1j+NH1yOd5Vkt8eU785f7GW/c2WqjrABGJEZG4hmVgKtDs6D7+xBhzEMgXkf72qnOAzQ6GdKq+S4A0vbTtA8aKSLSICNb53uJwTM2y43sK2GKMebiFzd4Gvm+PEjUWqznpASdiEZE0eztEZAzWNe2wh+NIFZFEezkKq5C+tclmvjonbcbii3NijLnHGJNpjOmJ1RT6M2NM09pnr58Td+LwxfkIVG6m94Dk5v9oQAuCvNxTVgB9RaSX3ZLnaqzrT2O+uEa3GYcfXY98kme5w1fnxF/ub7x5bxPqyUA7oW7Am/Z5DwVeMsZ86GxIbvsJ8KJ94dkN3OBwPG4RkWhgCnCz07G4yxjzpYi8hlWdXgusAWY7G1WLJgDXARvE6rcF8AsgG8AY8wTwPtYIUTuBCrz3v+NOLJcDt4hILXASuNoY4+mmEunAcyISgnVhfdUY866I/LhRHL46J+7E4otz0iyHzklbcTh2PgJAs2nMfjKsAkNA5uWeZIypFZHbgI+wRqB82hizydfXIzfj8Mn1SETmYI2g2EVECoB7sQbW8vn12Y1YfHWN9pf7G6/d24jmbUoppZRSSikVuLT5pVJKKaWUUkoFMC3UKaWUUkoppVQA00KdUkoppZRSSgUwLdQppZRSSimlVADTQp1SSimllFJKBTAt1DlERH4pIptEZL2IrBWR0z2470ki8q69fL2IPOapfTdzrEQRmdncsZvZNkxE/iAiO0Rko4gsF5Hp3opNqcZ8kebsuW1KRCTJXp8uIkZEJjbatlhEUkTkxyLy/Wb21VNENtrLI0Tk/Eaf/UZE7mwhhjQReVlEdonIZhF5X0T6eep3VKotIlJnp62NIvJfewqa1rb/hZv73SP2xLsiUu6JWFs51vUiktHcsZvZdrqIrBSRLSKyVUT+4s3YlGrK22lORP4qInc0Wv+RiDzZ6P1DIjJLRDLsqZua29d8EcltevzGeV0L37vTTlcbRWRdc/ml+iYt1DlARMYBFwKjjDHDsCYQznc2qnZLBGa2uZXlfqx5toYYY4YAFwFx3gpMqQa+SnP2PDJfAuPsVeOx5iUcb8fRHygxxhw2xjxhjHm+jV2OwJozp1UiIsCbwHxjTB9jzCCseW+6te83UapdThpjRtjX92rgx21s79YNpo9dD2S0tZGIDAEeA641xgwEhmDNE6eUL3k7zX3B1/mXC+gCDG70+XhgiTGm0BhzuRv7c7dQ+WOsOYnH2L/bmYCcSuCdkRbqnJGOdWNXBWCMKTHGFIrIaBFZICKr7Kch6fDVU46/icgX9hOLMfb6Mfa6NfbP/u4GICJTRWSpiKy2n+7E2uv3iMh99voNIjLAXp8qIh/b6/8lInvtp5d/APrYT4r+bO8+VkRes5+wvGjXXkQDPwJ+0uj3PmSMedXef7mI/NH+3T+xf7f5IrJbRC72xElXnZov09wS7EzQ/vkw3yzkfWHv66taNzuOdSKyFLjVXhcO/Ba4yk5fV9n7GNQobdxur5sM1NiTlmL/jmuNMYvEqkVcICKvish2sWrLrxGrpnyDiPTp+OlV6lsWATkAInKt/f+21s4/QkTkD0CUve5Fe7u37LS4SURucvdAdv70uoissF8T7PW/EZGnm0kviMiv7TzqYxGZY9cKXA7kYk3mvVZEouzNf9I0TwTuAh4wxmwFa+JpY8w/7X0/KyKPi8jn9nHPsuPYIiLPduSkKtUKb6S5xvnZYGAjUCYiSSISAQwE1sg3W5hEidVqZL2IvAJE2eu/dXwgRET+bR9/XqM09wtgpjHmOIAx5pgx5jl7P3tE5Pdi3cOuFJFRdv69S+yJ3jstY4y+fPwCYoG1wHbgn8BZQBjWzV6qvc1VwNP28nzg3/bymcBGezkeCLWXzwVet5cnAe/ay9cDjzU5fhdgIRBjv/858H/28h6sghdYNXBP2suPAffYy9MAY++nZ0M8jY59DMjEemiwFJgIDAPWtHJODDDdXn4TmGefk+HAWqf/ZvoK7JeP09wk4DN7eZF97JX2+38D/2Mv/wa4015eD5xlL/+50fG+kX7t73wBRNjp77D9e9wO/LWF330ScBSrYBsB7Afusz/7KfA3p/8++gqOF1Bu/wwF5gK3YN30vQOE2Z/9E/h+4+0bfT/Z/hmFdfOYYr/fA3Rp7jv2upeAifZyNrDFXm4pveTa14MorNYiOxqlxflAbqN976H5PHE1MLyF8/As8DJWzcIM4DgwFCtPXAWMcPpvpa/gePkoze2x09XNWDWB92O1IJkALLS36cnX+dYsvs5LhwG1DWmq8fHt79Q2pAfgVeBaO00eaeV33gPcYi//FSv/jANSgSKn/yZOvkJRPmeMKReR0cAZWE/YXwF+h9V842MRAQgBDjT62hz7uwtFJF5EErH+iZ8Tkb5YhaIwN0MYCwwCltjHCscqfDV4w/65CviOvTwRuNSO4UMROdLK/pcbYwoARGQtVsJd30ZM1cCH9vIGoMoYUyMiG+zvK9VuPk5zy4GRIhKDlamW20/rc7CeeD7UeGMRSQASjTEL7FX/AVrra/qesWocq0SkCPeaWK4wxhywj7cL66EJWGltshvfV8odUfY1H6wHGk8BNwGjgRV2OosCilr4/u0icqm9nAX0xSqIteVcrBrshvfxItLQtL+59DIRmGuMOQkgIu+0sf/m8sS2vGOMMXYedsgYs8E+1iasPG1ta19Wyk2+SHMNtXUNLU+628vHsFueNHEm8CiAMWa9iLR2/5dnjGmIfxVW2hCs/LU1b9s/NwCxxpgyrBrEShFJNMYcbeP7QUkLdQ4xxtRhPRGcb1/0bwU2GWPGtfSVZt7fD3xujLlURHra+3OHAB8bY77bwudV9s86vv4fOZW2zFWNlhv2sRPIFpE4O/E1VWPsxy5AfcM+jDH1IqL/p6rDfJXmjDEVIrIT+B+sp/kAy7CebHYFtjX5ijsZWGPNpa9NQGv9GRp/p77R+3o0H1Cec9IYM6LxCrHuKp8zxtzT2hdFZBJW4WycnYbmA5FuHtdlf+9kk31C8+nlVPvmNJcnbsK6cV7Xxncap7eG95rmlKf4Is019KsbilWblw/8P6wa6Kdb2L27eVrT9BlljDkuIidEpLcxpqV+qpq+mqF96hwgIv3tJ/0NRgBbgFSxBnRoGCmycWfUq+z1E4FjxphjQAJWUyqwmmm5axkwwa45QESipe1R8hYDV9rbTwWS7PVluDHYiTGmAusJ0qNi9RVqGBnw2lOIW6l2cSDNLQHu4Osa8KVYTR2XNXp4AYD9RPGYfD1C5jWNPnYrfQGfAREi8qOGFSJymoic5cZ3lfKmT4HLRaQrgIgki0gP+7MaEWmo7U7AanJVYfdbG3sKx5gH3NbwRkRGtLItWPnZRSISKVZ/8gsafeZumvsz8IuGvFNEXCIy6xRiVspbPJ3mlmANNFZqjKkzxpRiDZI3jm+28mqwEDsfE2tAoWGNPmt8/NY8CPxDROLt/cS30OdPNaKFOmfEYjXh2mxXSw8C/g/rSfsfRWQdVtOM8Y2+c0REvgCeAG601/0JeFBElmA1HWvJ9SJS0PDC6l9wPTDHPv4yYEAr3we4D5gqIquxmoYdAMqMMYexmnFulK8HSmnJr4BiYLNYHWrfst8r5W2+TnNLgN58neGtxupn2lxTFYAbsDKwpUDj2obPsZqVNR4o5VvsguKlwBS7s/gmrP5Eha3EqJTXGWM2Y13759lp72Os/p0As4H1Yg2a8CEQam9zP1a+1JzoxvmZXZC6HcgVa2CGzbQxAqAxZgVW8611WE0rV2I1JQOrP9wT8s2BUprbx3qsBzdzRGQLVg1GekvbK+UrXkhzG7D6pC5rsu6YMaakme0fxxowbz3WgELLG33W+PiteRwr/1th3y8uACra+E6nJ00eGis/ZFeJ32mMWelgDBFAnTGm1q7ZeLxplb9SwcIf0pxSyntEJNbu7xqNVbNwkzFmdVvfU0opf9Vp252qU5YNvCrWPCXVWNMTKKWUUoFotogMwupD9JwW6JRSgU5r6pRSSimllFIqgGmfOqWUUkoppZQKYFqoU0oppZRSSqkApoU6pZRSSimllApgWqhTSimllFJKqQCmhTqllFJKKaWUCmD/H+3nyLtzXz7JAAAAAElFTkSuQmCC\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, axes = plt.subplots(nrows=1,ncols=4)\n", - "fig.set_size_inches(15, 4)\n", - "sns.histplot(df_data[\"SepalLengthCm\"][:],ax=axes[0], kde=True)\n", - "sns.histplot(df_data[\"SepalWidthCm\"][:],ax=axes[1], kde=True)\n", - "sns.histplot(df_data[\"PetalLengthCm\"][:],ax=axes[2], kde=True)\n", - "sns.histplot(df_data[\"PetalWidthCm\"][:],ax=axes[3], kde=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 核密度估計Kernel Density Estimation(KDE)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[,\n", - " ,\n", - " ,\n", - " ,\n", - " ],\n", - " [,\n", - " ,\n", - " ,\n", - " ,\n", - " ],\n", - " [,\n", - " ,\n", - " ,\n", - " ,\n", - " ],\n", - " [,\n", - " ,\n", - " ,\n", - " ,\n", - " ],\n", - " [,\n", - " ,\n", - " ,\n", - " ,\n", - " ]],\n", - " dtype=object)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from pandas.plotting import scatter_matrix\n", - "scatter_matrix( df_data,figsize=(10, 10),color='b',diagonal='kde')" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.pairplot(df_data, hue=\"Species\", height=2, diag_kind=\"kde\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 關聯分析 (correlation map)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
    \n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
    SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
    05.13.51.40.20.0
    14.93.01.40.20.0
    24.73.21.30.20.0
    34.63.11.50.20.0
    45.03.61.40.20.0
    ..................
    1456.73.05.22.32.0
    1466.32.55.01.92.0
    1476.53.05.22.02.0
    1486.23.45.42.32.0
    1495.93.05.11.82.0
    \n", - "

    150 rows × 5 columns

    \n", - "
    " - ], - "text/plain": [ - " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", - "0 5.1 3.5 1.4 0.2 0.0\n", - "1 4.9 3.0 1.4 0.2 0.0\n", - "2 4.7 3.2 1.3 0.2 0.0\n", - "3 4.6 3.1 1.5 0.2 0.0\n", - "4 5.0 3.6 1.4 0.2 0.0\n", - ".. ... ... ... ... ...\n", - "145 6.7 3.0 5.2 2.3 2.0\n", - "146 6.3 2.5 5.0 1.9 2.0\n", - "147 6.5 3.0 5.2 2.0 2.0\n", - "148 6.2 3.4 5.4 2.3 2.0\n", - "149 5.9 3.0 5.1 1.8 2.0\n", - "\n", - "[150 rows x 5 columns]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df_data[['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species']]" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# correlation calculate\n", - "corr = df_data[['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species']].corr()\n", - "plt.figure(figsize=(8,8))\n", - "sns.heatmap(corr, square=True, annot=True, cmap=\"RdBu_r\") #center=0, cmap=\"YlGnBu\"" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# correlation calculate\n", - "corr = df_data[['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species']].corr()\n", - "# 將矩陣型簡化為對角矩陣型\n", - "mask = np.triu(np.ones_like(corr, dtype=np.bool))\n", - "\n", - "plt.figure(figsize=(8,8))\n", - "sns.heatmap(corr, square=True, annot=True, mask=mask, cmap=\"RdBu_r\") #center=0, cmap=\"YlGnBu\"" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 散佈圖" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", - " FutureWarning\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.lmplot(\"SepalLengthCm\", \"SepalWidthCm\", hue='Species', data=df_data, fit_reg=False, legend=False)\n", - "plt.legend(title='Species', loc='upper right', labels=['Iris-Setosa', 'Iris-Versicolour', 'Iris-Virginica'])" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/anaconda3/lib/python3.7/site-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n", - " FutureWarning\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.lmplot(\"PetalLengthCm\", \"PetalWidthCm\", hue='Species', data=df_data, fit_reg=False, legend=False)\n", - "plt.legend(title='target', loc='upper left', labels=['Iris-Setosa', 'Iris-Versicolour', 'Iris-Virginica'])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 箱形圖\n", - "透過箱形圖可以分析每個特徵的分布狀況以及是否有離群值" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Species')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, axes = plt.subplots(nrows=1, ncols=5, figsize=(10,5), sharey=True)\n", - "axes[0].boxplot(df_data['SepalLengthCm'],showmeans=True)\n", - "axes[0].set_title('SepalLengthCm')\n", - "\n", - "axes[1].boxplot(df_data['SepalWidthCm'],showmeans=True)\n", - "axes[1].set_title('SepalWidthCm')\n", - "\n", - "axes[2].boxplot(df_data['PetalLengthCm'],showmeans=True)\n", - "axes[2].set_title('PetalLengthCm')\n", - "\n", - "axes[3].boxplot(df_data['PetalWidthCm'],showmeans=True)\n", - "axes[3].set_title('PetalWidthCm')\n", - "\n", - "axes[4].boxplot(df_data['Species'],showmeans=True)\n", - "axes[4].set_title('Species')\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" "b/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" deleted file mode 100644 index e1ae82c..0000000 --- "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/README.md" +++ /dev/null @@ -1,161 +0,0 @@ -# 你真了解資料嗎?試試看視覺化分析吧! -## 今日學習目標 -- 探索式分析 (EDA) - - 聊聊何謂 EDA,為何要做數據分析? -- 撰寫第一支 EDA 程式 - - 透過鳶尾花 (iris) 資料集,來查看資料的分佈狀態 - - - -## 探索式分析 (EDA) -探索式資料分析 (Exploratory Data Analysis, EDA),主要概念是利用數據統計的方式視覺化資料。透過資料的探索式分析可以查看資料集當中每個特徵彼此的重要程度以及其資料分布狀況,有良好的數據分析習慣能夠幫助你更了解資料集的特性。另外做 EDA 的好處是可以從各種面向先了解資料的狀況,以利後續的模型分析。 - -## EDA 必要的套件 -- 資料處理 – Pandas, Numpy - - [Pandas](https://pandas.pydata.org/):Python 表格資料處理的重要工具 - - [Numpy](https://numpy.org/):針對多維陣列的平行運算進行優化的強大函式庫 -- 繪圖相關 – Matplotlib, Seaborn - - [Matplotlib](https://matplotlib.org/):Python 最常被使用到的繪圖套件 - - [Seaborn](https://seaborn.pydata.org/):以 matplotlib 為底層的高階繪圖套件 - -![](./image/img3-1.png) - -![](./image/img3-2.png) - -## 鳶尾花朵資料集一覽 -此資料集總共有4個輸入特徵。分別為花萼長度、花萼寬度、花瓣長度與花瓣寬度。輸出特徵為花朵的品種,共有三種類別分別為 0: iris setosa、 1: iris versicolor、 2: iris virginica。 - -![](./image/img3-3.png) - -## 載入必要套件 -首先我們載入資料探索式分析所需的套件。分別有進行數據處理的函式庫的 - `pandas`、高階大量的維度陣列與矩陣運算的 `numpy`、處理資料視覺化的繪圖庫 `matplotlib` 與 `seaborn`。最後一個是資料集來源,此系列範例我們採用 Sklearn 所提供的鳶尾花分類的資料集。 - -```py -import pandas as pd -import numpy as np -import matplotlib.pyplot as plt -import seaborn as sns -from sklearn.datasets import load_iris -``` - -## Sklearn Toy datasets -Sklearn 套件中提供了七個快速入門的 [Toy datasets](https://scikit-learn.org/stable/datasets/toy_dataset.html) 很推薦初學者可以載入來玩玩看,並且練習做資料探索與建模。每一個資料集呼叫的方法非常簡單。以鳶尾花朵資料集為例,我們可以透過 API 取得輸入與輸出。 - -```py -from sklearn.datasets import load_iris - -iris = load_iris() -# 輸入特徵 -X = iris.data -# 輸出特徵 -y = iris.target -``` - - -Sklearn 提供了許多 API 方法可以呼叫: -- data: 取得輸入特徵 -- target: 取得輸出特徵 -- feature_names: 取得輸入特徵的名稱 -- target_names: 取得輸出的類別標籤(分類資料集) -- DESCR: 資料集詳細描述 - -如果想試試其他的資料集可以參考: -- 迴歸問題 - - [load_boston](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_boston.html#sklearn.datasets.load_boston) 波士頓房價預測 - - [load_diabetes](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_diabetes.html#sklearn.datasets.load_diabetes) 糖尿病預測 - - [load_linnerud](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_linnerud.html#sklearn.datasets.load_linnerud) 體能評估預測 -- 分類問題 - - [load_iris](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_iris.html#sklearn.datasets.load_iris) 鳶尾花種類預測 - - [load_digits](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_digits.html#sklearn.datasets.load_digits) 手寫數字辨識 - - [load_wine](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_wine.html#sklearn.datasets.load_wine) 葡萄酒種類預測 - - [load_breast_cancer](https://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_breast_cancer.html#sklearn.datasets.load_breast_cancer) 乳癌預測 - -[參考](https://zhuanlan.zhihu.com/p/95412564) - - -## 載入資料集 -首先我們載入鳶尾花朵資料集。為了方便分析我們將 numpy 格式的資料轉換成 DataFrame 的格式進行資料探索。因為透過 Pandas 的 DataFrame 格式我們更能用表格的形式觀察資料。 - -```py -iris = load_iris() -df_data = pd.DataFrame(data= np.c_[iris['data'], iris['target']], - columns= ['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species']) -df_data -``` - -![](./image/img3-4.png) - -## 直方圖 -直方圖是一種對數據分布情況的圖形表示,是一種二維統計圖表。我們可以直接呼叫 Pandas 內建函式 `hist()` 進行直方圖分析。其中我們可以設定 bins(箱數),預設值為 10。如果設定的輸量越大,其代表需要分割的精度越細。通常取一個適當的箱數即可觀察該特徵在資料集中的分佈情況。藉由直方圖我們可以知道每個值域的分佈大小與數量。我們也能發現輸出項的類別共有三個,並且這三個類別的數量都剛好各有 50 筆資料。我們也能得知這一份資料集的輸出類別是一個非常均勻的資料。 - -```py -#直方圖 histograms -df_data.hist(alpha=0.6,layout=(3,3), figsize=(12, 8), bins=10) -plt.tight_layout() -plt.show() -``` - -![](./image/img3-5.png) - -我們也可以透過 Seaborn 的 `histplot` 做出更詳細的直方圖分析。並利用和密度估計 `kde=True` 來查看每個特徵的分佈狀況。 - -```py -fig, axes = plt.subplots(nrows=1,ncols=4) -fig.set_size_inches(15, 4) -sns.histplot(df_data["SepalLengthCm"][:],ax=axes[0], kde=True) -sns.histplot(df_data["SepalWidthCm"][:],ax=axes[1], kde=True) -sns.histplot(df_data["PetalLengthCm"][:],ax=axes[2], kde=True) -sns.histplot(df_data["PetalWidthCm"][:],ax=axes[3], kde=True) -``` - -![](./image/img3-11.png) - -## 核密度估計 -核密度估計分爲兩部分,分別有對角線部分和非對角線部分。在對角線部分是以核密度估計圖(Kernel Density Estimation)的方式呈現,也就是用來看某一個特徵的分佈情況,x軸對應著該特徵的數值,y軸對應著該特徵的密度也就是特徵出現的頻率。在非對角線的部分為兩個特徵之間分佈的關聯散點圖。將任意兩個特徵進行配對,以其中一個爲橫座標,另一個爲縱座標,將所有的數據點繪製在圖上,用來衡量兩個變量的關聯程度。 - -使用 Pandas 繪製: -```py -from pandas.plotting import scatter_matrix -scatter_matrix( df_data,figsize=(10, 10),color='b',diagonal='kde') -``` - -![](./image/img3-6.png) - -使用 Seaborn 繪製: -```py -sns.pairplot(df_data, hue="Species", height=2, diag_kind="kde") -``` - -![](./image/img3-7.png) - -## 關聯分析 -透過 pandas 的 `corr()` 函式可以快速的計算每個特徵間的彼此關聯程度。其區間值為-1~1之間,數字越大代表關聯程度正相關越高。相反的當負的程度很高我們可以解釋這兩個特徵之間是有很高的負 -關聯性。 - -```py -# correlation 計算 -corr = df_data[['SepalLengthCm','SepalWidthCm','PetalLengthCm','PetalWidthCm','Species']].corr() -plt.figure(figsize=(8,8)) -sns.heatmap(corr, square=True, annot=True, cmap="RdBu_r") -``` - -![](./image/img3-8.png) - -## 散佈圖 -透過散佈圖我們可以從二維的平面上觀察兩兩特徵間彼此的分佈狀況。如果該特徵重要程度越高,群聚的效果會更加顯著。 - -```py -sns.lmplot("SepalLengthCm", "SepalWidthCm", hue='Species', data=df_data, fit_reg=False, legend=False) -plt.legend(title='Species', loc='upper right', labels=['Iris-Setosa', 'Iris-Versicolour', 'Iris-Virginica']) -``` - -![](./image/img3-9.png) - -## 箱形圖 -透過箱形圖可以分析每個特徵的分布狀況以及是否有離群值。我們利用箱形圖來表示四分位數來觀察數據分散情況。箱形的兩端為第一個四分位數涵蓋25%之資料(Q1)與第三個四分位數涵蓋75%之資料(Q3),而箱形圖的中間線為中位數顯示涵蓋前50%資料之位置。箱形上虛線的端點為極大值,箱型下虛線的點為極小值。 - -![](./image/img3-10.png) - - -本系列教學內容及範例程式都可以從我的 [GitHub](https://github.com/andy6804tw/2021-13th-ironman) 取得! \ No newline at end of file diff --git "a/source/3.\344\275\240\347\234\237\344\272\206\350\247\243\350\263\207\346\226\231\345\227\216\350\251\246\350\251\246\347\234\213\350\246\226\350\246\272\345\214\226\345\210\206\346\236\220\345\220\247/image/img3-1.png" 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\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
    SepalLengthCmSepalWidthCmPetalLengthCmPetalWidthCmSpecies
    05.13.51.40.20.0
    14.93.01.40.20.0
    24.73.21.30.20.0
    34.63.11.50.20.0
    45.03.61.40.20.0
    ..................
    1456.73.05.22.32.0
    1466.32.55.01.92.0
    1476.53.05.22.02.0
    1486.23.45.42.32.0
    1495.93.05.11.82.0
    \n", - "