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Paper · arXiv

ERBench: A Benchmark and Testsuite for Equation Discovery Algorithms

Equation discovery aims to automate the discovery of scientific models in the form of mathematical equations from data. Technically, equation discovery is implemented by symbolic regression algorithms. Performance of symbolic regression for equation discovery is measured along two dimensions: Prediction accuracy on test data, and recovery of known groundtruth formulas. For standard regression, accuracy is typically measured on in-domain test data, for instance, by splitting a data set randomly into training and test data. While this makes sense for in-domain interpolation, which is the common goal in ordinary regression, it can be a misleading proxy for true model discovery and generaliza...

AuthorsPaul Kahlmeyer, Henrik Voigt, Michael Habeck et al.
Primary categorycs.LG
Published8 June 2026
Last updated at source8 June 2026
cs.LG
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