cs.LGAug 14, 2026

Adaptive Protection for Evolutionary Feature Construction in Symbolic Regression with Application to Credit Classification

Authors: Hengzhe Zhang, Qi Chen, Bing Xue, Lean Yu, Wolfgang Banzhaf, Mengjie Zhang

Organizations: Centre for Data Science and Artificial Intelligence & School of Engineering and Computer Science, Victoria University of Wellington, PO Box 600, Wellington 6140, New Zealand · Business School, Sichuan University, Chengdu, 610065, China · Department of Computer Science and Engineering, Michigan State University, East Lansing, MI 48824, USA

Abstract

Evolutionary feature construction has shown strong promise in symbolic regression by automatically discovering informative transformations of input features that enhance a simple base learner. However, existing approaches often lack explicit mechanisms to preserve important constructed features discovered during evolution, and valuable genetic material can be lost when genetic operators disrupt effective features. This paper introduces an adaptive protection mechanism that leverages feature importance metrics to selectively preserve constructed features during evolution. The mechanism provides stronger protection for more important constructed features while still allowing less important features to be modified and to incorporate useful building blocks from more important features. We evaluate the approach using multiple feature importance calculation methods and demonstrate its robustness across different base learners. Experimental results on 98 regression benchmark datasets show that the proposed mechanism consistently improves solution quality over baseline approaches, and experiments on two credit classification datasets demonstrate that the method also extends effectively to improve search effectiveness beyond symbolic regression.

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