Explainable artificial intelligence by genetic programming: A survey

Y Mei, Q Chen, A Lensen, B Xue… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Explainable artificial intelligence (XAI) has received great interest in the recent decade, due
to its importance in critical application domains, such as self-driving cars, law, and …

Artificial intelligence in physical sciences: Symbolic regression trends and perspectives

D Angelis, F Sofos, TE Karakasidis - Archives of Computational Methods …, 2023 - Springer
Symbolic regression (SR) is a machine learning-based regression method based on genetic
programming principles that integrates techniques and processes from heterogeneous …

End-to-end symbolic regression with transformers

PA Kamienny, S d'Ascoli, G Lample… - Advances in Neural …, 2022 - proceedings.neurips.cc
Symbolic regression, the task of predicting the mathematical expression of a function from
the observation of its values, is a difficult task which usually involves a two-step procedure …

[HTML][HTML] Contemporary symbolic regression methods and their relative performance

W La Cava, B Burlacu, M Virgolin… - Advances in neural …, 2021 - 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 …

A unified framework for deep symbolic regression

M Landajuela, CS Lee, J Yang… - Advances in …, 2022 - proceedings.neurips.cc
The last few years have witnessed a surge in methods for symbolic regression, from
advances in traditional evolutionary approaches to novel deep learning-based systems …

Deep symbolic regression for physics guided by units constraints: toward the automated discovery of physical laws

W Tenachi, R Ibata, FI Diakogiannis - The Astrophysical Journal, 2023 - iopscience.iop.org
Symbolic regression (SR) is the study of algorithms that automate the search for analytic
expressions that fit data. While recent advances in deep learning have generated renewed …

Rediscovering orbital mechanics with machine learning

P Lemos, N Jeffrey, M Cranmer, S Ho… - … Learning: Science and …, 2023 - iopscience.iop.org
We present an approach for using machine learning to automatically discover the governing
equations and unknown properties (in this case, masses) of real physical systems from …

Symbolic regression is NP-hard

M Virgolin, SP Pissis - arXiv preprint arXiv:2207.01018, 2022 - arxiv.org
Symbolic regression (SR) is the task of learning a model of data in the form of a
mathematical expression. By their nature, SR models have the potential to be accurate and …

Deep generative symbolic regression with Monte-Carlo-tree-search

PA Kamienny, G Lample, S Lamprier… - … on Machine Learning, 2023 - proceedings.mlr.press
Symbolic regression (SR) is the problem of learning a symbolic expression from numerical
data. Recently, deep neural models trained on procedurally-generated synthetic datasets …

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 …