A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming

Fuente: arXiv
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Auteurs principaux: Radwan, Yousef A., Kronberger, Gabriel, Winkler, Stephan
Format: Preprint
Publié: 2024
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author Radwan, Yousef A.
Kronberger, Gabriel
Winkler, Stephan
author_facet Radwan, Yousef A.
Kronberger, Gabriel
Winkler, Stephan
contents Symbolic regression is a machine learning method with the goal to produce interpretable results. Unlike other machine learning methods such as, e.g. random forests or neural networks, which are opaque, symbolic regression aims to model and map data in a way that can be understood by scientists. Recent advancements, have attempted to bridge the gap between these two fields; new methodologies attempt to fuse the mapping power of neural networks and deep learning techniques with the explanatory power of symbolic regression. In this paper, we examine these new emerging systems and test the performance of an end-to-end transformer model for symbolic regression versus the reigning traditional methods based on genetic programming that have spearheaded symbolic regression throughout the years. We compare these systems on novel datasets to avoid bias to older methods who were improved on well-known benchmark datasets. Our results show that traditional GP methods as implemented e.g., by Operon still remain superior to two recently published symbolic regression methods.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03585
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming
Radwan, Yousef A.
Kronberger, Gabriel
Winkler, Stephan
Machine Learning
Artificial Intelligence
Symbolic regression is a machine learning method with the goal to produce interpretable results. Unlike other machine learning methods such as, e.g. random forests or neural networks, which are opaque, symbolic regression aims to model and map data in a way that can be understood by scientists. Recent advancements, have attempted to bridge the gap between these two fields; new methodologies attempt to fuse the mapping power of neural networks and deep learning techniques with the explanatory power of symbolic regression. In this paper, we examine these new emerging systems and test the performance of an end-to-end transformer model for symbolic regression versus the reigning traditional methods based on genetic programming that have spearheaded symbolic regression throughout the years. We compare these systems on novel datasets to avoid bias to older methods who were improved on well-known benchmark datasets. Our results show that traditional GP methods as implemented e.g., by Operon still remain superior to two recently published symbolic regression methods.
title A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2406.03585