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New Theory Explains Generalization in Genetic Programming for Symbolic Regression

A new research paper published on arXiv provides a theoretical framework for understanding how genetic programming-based symbolic regression models generalize. The study derives a generalization bound that decomposes the error into terms related to the complexity of selecting expression tree structures and optimizing numerical constants. This analysis offers a principled explanation for common practices in genetic programming, such as parsimony pressure and depth limits, by linking them to explicit complexity terms in the generalization bound. AI

IMPACT Provides theoretical grounding for symbolic regression techniques, potentially improving model interpretability and generalization.

RANK_REASON Academic paper providing theoretical analysis of a machine learning technique. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Masahiro Nomura, Ryoki Hamano, Isao Ono ·

    On the Generalization Bounds of Symbolic Regression with Genetic Programming

    arXiv:2604.17402v2 Announce Type: replace Abstract: Symbolic regression (SR) with genetic programming (GP) aims to discover interpretable mathematical expressions directly from data. Despite its strong empirical success, the theoretical understanding of why GP-based SR generalize…