Discovering causal relations and equations from data

G Camps-Valls, A Gerhardus, U Ninad, G Varando… - Physics Reports, 2023 - Elsevier
Physics is a field of science that has traditionally used the scientific method to answer
questions about why natural phenomena occur and to make testable models that explain the …

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 …

Symbolicgpt: A generative transformer model for symbolic regression

M Valipour, B You, M Panju, A Ghodsi - arXiv preprint arXiv:2106.14131, 2021 - arxiv.org
Symbolic regression is the task of identifying a mathematical expression that best fits a
provided dataset of input and output values. Due to the richness of the space of …

Scant evidence for thawing quintessence

WJ Wolf, C García-García, DJ Bartlett, PG Ferreira - Physical Review D, 2024 - APS
New constraints on the expansion rate of the Universe seem to favor evolving dark energy in
the form of thawing quintessence models, ie, models for which a canonical, minimally …

Operon C++ an efficient genetic programming framework for symbolic regression

B Burlacu, G Kronberger, M Kommenda - Proceedings of the 2020 …, 2020 - dl.acm.org
Genetic Programming (GP) is a dynamic field of research where empirical testing plays an
important role in validating new ideas and algorithms. The ability to easily prototype new …

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 …

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 …