Interpretable scientific discovery with symbolic regression: a review

N Makke, S Chawla - Artificial Intelligence Review, 2024 - Springer
Symbolic regression is emerging as a promising machine learning method for learning
succinct underlying interpretable mathematical expressions directly from data. Whereas it …

Transformer-based planning for symbolic regression

P Shojaee, K Meidani… - Advances in Neural …, 2023 - proceedings.neurips.cc
Symbolic regression (SR) is a challenging task in machine learning that involves finding a
mathematical expression for a function based on its values. Recent advancements in SR …

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 …

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 …

AI-Aristotle: A physics-informed framework for systems biology gray-box identification

N Ahmadi Daryakenari, M De Florio… - PLOS Computational …, 2024 - journals.plos.org
Discovering mathematical equations that govern physical and biological systems from
observed data is a fundamental challenge in scientific research. We present a new physics …

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 …

Interpretable symbolic regression for data science: analysis of the 2022 competition

FO de França, M Virgolin, M Kommenda… - arXiv preprint arXiv …, 2023 - arxiv.org
Symbolic regression searches for analytic expressions that accurately describe studied
phenomena. The main attraction of this approach is that it returns an interpretable model that …

GSR: A generalized symbolic regression approach

T Tohme, D Liu, K Youcef-Toumi - arXiv preprint arXiv:2205.15569, 2022 - arxiv.org
Identifying the mathematical relationships that best describe a dataset remains a very
challenging problem in machine learning, and is known as Symbolic Regression (SR). In …

Symbolic regression via control variable genetic programming

N Jiang, Y Xue - Joint European Conference on Machine Learning and …, 2023 - Springer
Learning symbolic expressions directly from experiment data is a vital step in AI-driven
scientific discovery. Nevertheless, state-of-the-art approaches are limited to learning simple …

The automated discovery of kinetic rate models–methodological frameworks

MÁ de Carvalho Servia, IO Sandoval, KKM Hii… - Digital …, 2024 - pubs.rsc.org
The industrialization of catalytic processes requires reliable kinetic models for their design,
optimization and control. Mechanistic models require significant domain knowledge, while …