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Multi-objective genetic programming for symbolic regression with the adaptive weighted splines representation

Published: 08 July 2021 Publication History

Abstract

Genetic Programming (GP) for symbolic regression often generates over-complex models, which overfit the training data and have poor generalization onto unseen data. One recent work investigated controlling model complexity by using a new GP representation called Adaptive Weighted Splines (AWS), which is a semi-structured representation that can control the model complexity explicitly. This work extends this previous work by incorporating a new parsimony pressure objective to further control the model complexity. Experimental results demonstrate that the new multi-objective GP method consistently obtains superior fronts and produces better generalizing models compared to single-objective GP with both the tree-based and AWS representation as well a multi-objective tree-based GP method with parsimony pressure.

References

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Qi Chen, Bing Xue, and Mengjie Zhang. 2020. Improving symbolic regression based on correlation between residuals and variables. In Proceedings of the 2020 Genetic and Evolutionary Computation Conference. 922--930.
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Sean Luke and Liviu Panait. 2002. Fighting Bloat with Nonparametric Parsimony Pressure. In International Conference on Parallel Problem Solving from Nature. Springer, 411--421.
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Christian Raymond, Qi Chen, Bing Xue, and Mengjie Zhang. 2019. Genetic Programming with Rademacher Complexity for Symbolic Regression. In 2019 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2657--2664.
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Christian Raymond, Qi Chen, Bing Xue, and Mengjie Zhang. 2020. Adaptive weighted splines: a new representation to genetic programming for symbolic regression. In Proceedings of the 2020 Genetic and Evolutionary Computation Conference. 1003--1011.
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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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Published: 08 July 2021

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Author Tags

  1. evolutionary multi-objective optimization
  2. generalization
  3. genetic programming
  4. model complexity
  5. symbolic regression

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