Abstract
A new interval constraint propagation algorithm, called MOnotonic Hull Consistency (Mohc), has recently been proposed. Mohc exploits monotonicity of functions to better filter variable domains. Embedded in an interval-based solver, Mohc shows very high performance for solving systems of numerical constraints (equations or inequalities) over the reals. However, the main drawback is that its revise procedure depends on two user-defined parameters.
This paper reports a rigourous empirical study resulting in a variant of Mohc that avoids a manual tuning of the parameters. In particular, we propose a policy to adjust in an auto-adaptive way, during the search, the parameter sensitive to the monotonicity of the revised function.
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References
Araya, I.: Exploiting Common Subexpressions and Monotonicity of Functions for Filtering Algorithms over Intervals. PhD thesis, University of Nice–Sophia (2010)
Araya, I., Trombettoni, G., Neveu, B.: Exploiting Monotonicity in Interval Constraint Propagation. In: Proc. AAAI (to appear, 2010)
Benhamou, F., Goualard, F., Granvilliers, L., Puget, J.-F.: Revising Hull and Box Consistency. In: Proc. ICLP, pp. 230–244 (1999)
Chabert, G.: Ibex – An Interval Based EXplorer (2010), http://www.ibex-lib.org
Collavizza, H., Delobel, F., Rueher, M.: Comparing Partial Consistencies. Reliable Comp. 5(3), 213–228 (1999)
Jaulin, L.: Interval Constraint Propagation with Application to Bounded-error Estimation. Automatica 36, 1547–1552 (2000)
Kearfott, R.B.: Rigorous Global Search: Continuous Problems. Kluwer, Dordrecht (1996)
Kieffer, M., Jaulin, L., Walter, E., Meizel, D.: Robust Autonomous Robot Localization Using Interval Analysis. Reliable Computing 3(6), 337–361 (2000)
Lhomme, O.: Consistency Tech. for Numeric CSPs. In: IJCAI, pp. 232–238 (1993)
Merlet, J.-P.: Interval Analysis and Robotics. In: Symp. of Robotics Research (2007)
Moore, R.E.: Interval Analysis. Prentice-Hall, Englewood Cliffs (1966)
Rueher, M., Goldsztejn, A., Lebbah, Y., Michel, C.: Capabilities of Constraint Programming in Rigorous Global Optimization. In: NOLTA (2008)
Trombettoni, G., Chabert, G.: Constructive Interval Disjunction. In: Bessière, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 635–650. Springer, Heidelberg (2007)
Van Hentenryck, P., Michel, L., Deville, Y.: Numerica: A Modeling Language for Global Optimization. MIT Press, Cambridge (1997)
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Araya, I., Trombettoni, G., Neveu, B. (2010). Making Adaptive an Interval Constraint Propagation Algorithm Exploiting Monotonicity. In: Cohen, D. (eds) Principles and Practice of Constraint Programming – CP 2010. CP 2010. Lecture Notes in Computer Science, vol 6308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15396-9_8
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DOI: https://doi.org/10.1007/978-3-642-15396-9_8
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