Contemporary symbolic regression methods and their relative performance

W La Cava, B Burlacu, M Virgolin… - Advances in neural …, 2021 - pmc.ncbi.nlm.nih.gov
Many promising approaches to symbolic regression have been presented in recent years,
yet progress in the field continues to suffer from a lack of uniform, robust, and transparent …

Towards data-driven discovery of governing equations in geosciences

W Song, S Jiang, G Camps-Valls, M Williams… - … Earth & Environment, 2024 - nature.com
Governing equations are foundations for modelling, predicting, and understanding the Earth
system. The Earth system is undergoing rapid change, and the conventional approaches for …

Language model crossover: Variation through few-shot prompting

E Meyerson, MJ Nelson, H Bradley, A Gaier… - ACM Transactions on …, 2024 - dl.acm.org
This article pursues the insight that language models naturally enable an intelligent variation
operator similar in spirit to evolutionary crossover. In particular, language models of …

Over‐optimism in benchmark studies and the multiplicity of design and analysis options when interpreting their results

C Nießl, M Herrmann, C Wiedemann… - … : Data Mining and …, 2022 - Wiley Online Library
In recent years, the need for neutral benchmark studies that focus on the comparison of
methods coming from computational sciences has been increasingly recognized by the …

Symbolic regression in materials science

Y Wang, N Wagner, JM Rondinelli - MRS communications, 2019 - cambridge.org
The authors showcase the potential of symbolic regression as an analytic method for use in
materials research. First, the authors briefly describe the current state-of-the-art method …

Benchmarking in optimization: Best practice and open issues

T Bartz-Beielstein, C Doerr, D Berg, J Bossek… - arxiv preprint arxiv …, 2020 - arxiv.org
This survey compiles ideas and recommendations from more than a dozen researchers with
different backgrounds and from different institutes around the world. Promoting best practice …

A computational framework for physics-informed symbolic regression with straightforward integration of domain knowledge

LS Keren, A Liberzon, T Lazebnik - Scientific Reports, 2023 - nature.com
Discovering a meaningful symbolic expression that explains experimental data is a
fundamental challenge in many scientific fields. We present a novel, open-source …

Parameter identification for symbolic regression using nonlinear least squares

M Kommenda, B Burlacu, G Kronberger… - … and Evolvable Machines, 2020 - Springer
In this paper we analyze the effects of using nonlinear least squares for parameter
identification of symbolic regression models and integrate it as local search mechanism in …

Improving model-based genetic programming for symbolic regression of small expressions

M Virgolin, T Alderliesten, C Witteveen… - Evolutionary …, 2021 - direct.mit.edu
Abstract The Gene-pool Optimal Mixing Evolutionary Algorithm (GOMEA) is a model-based
EA framework that has been shown to perform well in several domains, including Genetic …

Symformer: End-to-end symbolic regression using transformer-based architecture

M Vastl, J Kulhánek, J Kubalík, E Derner… - IEEE …, 2024 - ieeexplore.ieee.org
Many real-world systems can be naturally described by mathematical formulas. The task of
automatically constructing formulas to fit observed data is called symbolic regression …