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 …

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 …

Physics-guided deep learning for dynamical systems: A survey

R Wang, R Yu - arXiv preprint arXiv:2107.01272, 2021 - arxiv.org
Modeling complex physical dynamics is a fundamental task in science and engineering.
Traditional physics-based models are sample efficient, and interpretable but often rely on …

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 …

Predicting ordinary differential equations with transformers

S Becker, M Klein, A Neitz… - International …, 2023 - proceedings.mlr.press
We develop a transformer-based sequence-to-sequence model that recovers scalar
ordinary differential equations (ODEs) in symbolic form from irregularly sampled and noisy …

Exploring the mathematic equations behind the materials science data using interpretable symbolic regression

G Wang, E Wang, Z Li, J Zhou… - Interdisciplinary Materials, 2024 - Wiley Online Library
Symbolic regression (SR), exploring mathematical expressions from a given data set to
construct an interpretable model, emerges as a powerful computational technique with the …

[HTML][HTML] Dimensionally-consistent equation discovery through probabilistic attribute grammars

J Brence, S Džeroski, L Todorovski - Information Sciences, 2023 - Elsevier
Equation discovery, also known as symbolic regression, is a machine learning task of
inducing closed-form equations from data and background knowledge. The latter takes …

Llm-sr: Scientific equation discovery via programming with large language models

P Shojaee, K Meidani, S Gupta, AB Farimani… - arXiv preprint arXiv …, 2024 - arxiv.org
Mathematical equations have been unreasonably effective in describing complex natural
phenomena across various scientific disciplines. However, discovering such insightful …

Automated scientific discovery: from equation discovery to autonomous discovery systems

S Kramer, M Cerrato, S Džeroski, R King - arXiv preprint arXiv:2305.02251, 2023 - arxiv.org
The paper surveys automated scientific discovery, from equation discovery and symbolic
regression to autonomous discovery systems and agents. It discusses the individual …

Distilling identifiable and interpretable dynamic models from biological data

G Massonis, AF Villaverde… - PLoS computational …, 2023 - journals.plos.org
Mechanistic dynamical models allow us to study the behavior of complex biological systems.
They can provide an objective and quantitative understanding that would be difficult to …