On the Generalization Bounds of Symbolic Regression with Genetic Programming
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.