Machine learning conservation laws from trajectories

Z Liu, M Tegmark - Physical Review Letters, 2021 - APS
We present AI Poincaré, a machine learning algorithm for autodiscovering conserved
quantities using trajectory data from unknown dynamical systems. We test it on five …

Machine learning hidden symmetries

Z Liu, M Tegmark - Physical Review Letters, 2022 - APS
We present an automated method for finding hidden symmetries, defined as symmetries that
become manifest only in a new coordinate system that must be discovered. Its core idea is to …

Information fusion via symbolic regression: A tutorial in the context of human health

JJ Schnur, NV Chawla - Information Fusion, 2023 - Elsevier
This tutorial paper provides a general overview of symbolic regression (SR) with specific
focus on standards of interpretability. We posit that interpretable modeling, although its …

[HTML][HTML] Probabilistic grammars for equation discovery

J Brence, L Todorovski, S Džeroski - Knowledge-Based Systems, 2021 - Elsevier
Equation discovery, also known as symbolic regression, is a type of automated modeling
that discovers scientific laws, expressed in the form of equations, from observed data and …

Controllable neural symbolic regression

T Bendinelli, L Biggio… - … Conference on Machine …, 2023 - proceedings.mlr.press
In symbolic regression, the objective is to find an analytical expression that accurately fits
experimental data with the minimal use of mathematical symbols such as operators …

Learning symbolic expressions: Mixed-integer formulations, cuts, and heuristics

J Kim, S Leyffer, P Balaprakash - INFORMS Journal on …, 2023 - pubsonline.informs.org
In this paper, we consider the problem of learning a regression function without assuming its
functional form. This problem is referred to as symbolic regression. An expression tree is …