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Error function learning with interpretable compositional networks for constraint-based local search

Published: 08 July 2021 Publication History

Abstract

In Constraint Programming, some Constraint-Based Local Search algorithms exploit error functions, a finer representation of constraints than the usual one. However, this makes problem modeling significantly harder, since providing a set of error functions is not always easy. Here, we propose a method to automatically learn an error function corresponding to a constraint. Our method learns error functions upon a variant of neural networks we named Interpretable Compositional Networks, allowing us to get interpretable results, unlike regular artificial neural networks. Experiments show that our method can learn, over small-dimensional spaces or incomplete spaces, functions that scale on high-dimensional spaces.

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p137-richoux_suppl.pdf

References

[1]
Frederic Boussemart, Christophe Lecoutre, Gilles Audemard, and Cédric Piette. 2016. XCSP3: An Integrated Format for Benchmarking Combinatorial Constrained Problems. arXiv e-prints abs/1611.03398 (2016), 1--238.
[2]
Frank Hutter, Holger H. Hoos, Kevin Leyton-Brown, and Thomas Stützle. 2009. ParamILS: An Automatic Algorithm Configuration Framework. Journal of Artificial Intelligence Research 36 (2009), 267--306.
[3]
Maarten Keijzer, J. J. Merelo, G. Romero, and M. Schoenauer. 2002. Evolving Objects: A General Purpose Evolutionary Computation Library. Artificial Evolution 2310 (2002), 829--888.
[4]
Florian Richoux and Jean-François Baffier. 2021. Error Function Learning with Interpretable Compositional Networks for Constraint-Based Local Search. arXiv e-prints abs/2002.09811 (2021), 1--11.
[5]
Kenneth O. Stanley. 2007. Compositional Pattern Producing Networks: A Novel Abstraction of Development. Genetic Programming and Evolvable Machines 8, 2 (2007), 131--162.

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  • (2023)Automatic error function learning with interpretable compositional networksAnnals of Mathematics and Artificial Intelligence10.1007/s10472-022-09829-8Online publication date: 20-Feb-2023

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  1. Error function learning with interpretable compositional networks for constraint-based local search

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      cover image ACM Conferences
      GECCO '21: Proceedings of the Genetic and Evolutionary Computation Conference Companion
      July 2021
      2047 pages
      ISBN:9781450383516
      DOI:10.1145/3449726
      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      Publication History

      Published: 08 July 2021

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      Author Tags

      1. combinatorial optimization
      2. constraint-based local search
      3. error function
      4. interpretable learning
      5. problem modeling

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      • (2023)Automatic error function learning with interpretable compositional networksAnnals of Mathematics and Artificial Intelligence10.1007/s10472-022-09829-8Online publication date: 20-Feb-2023

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