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docs: update implicit gradient docs
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XuehaiPan committed Mar 9, 2023
commit 3acf2f6b2f677b7c1d262b7d7b2a8854dd7e8472
2 changes: 1 addition & 1 deletion docs/source/implicit_diff/implicit_diff.rst
Original file line number Diff line number Diff line change
Expand Up @@ -20,7 +20,7 @@ Namely, given

By treating the solution :math:`\boldsymbol{\theta}^{\prime}` as an implicit function of :math:`\boldsymbol{\phi}`, the idea of implicit differentiation is to directly get analytical best-response derivatives :math:`\nabla_{\boldsymbol{\phi}} \boldsymbol{\theta}^{\prime} (\boldsymbol{\phi})` by the implicit function theorem.

Root finding
Root Finding
~~~~~~~~~~~~

This is suitable for algorithms when the inner-level optimality conditions :math:`T` is defined by a root of a function, such as:
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