Decoding the brain: From neural representations to mechanistic models

MW Mathis, AP Rotondo, EF Chang, AS Tolias… - Cell, 2024 - cell.com
A central principle in neuroscience is that neurons within the brain act in concert to produce
perception, cognition, and adaptive behavior. Neurons are organized into specialized brain …

Marrying causal representation learning with dynamical systems for science

D Yao, C Muller, F Locatello - arxiv preprint arxiv:2405.13888, 2024 - arxiv.org
Causal representation learning promises to extend causal models to hidden causal
variables from raw entangled measurements. However, most progress has focused on …

[HTML][HTML] Large language models for automatic equation discovery of nonlinear dynamics

M Du, Y Chen, Z Wang, L Nie, D Zhang - Physics of Fluids, 2024 - pubs.aip.org
Equation discovery aims to directly extract physical laws from data and has emerged as a
pivotal research domain in nonlinear systems. Previous methods based on symbolic …

Out-of-domain generalization in dynamical systems reconstruction

N Göring, F Hess, M Brenner, Z Monfared… - arxiv preprint arxiv …, 2024 - arxiv.org
In science we are interested in finding the governing equations, the dynamical rules,
underlying empirical phenomena. While traditionally scientific models are derived through …

A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming

YA Radwan, G Kronberger, S Winkler - arxiv preprint arxiv:2406.03585, 2024 - arxiv.org
Symbolic regression is a machine learning method with the goal to produce interpretable
results. Unlike other machine learning methods such as, eg random forests or neural …

Foundational inference models for dynamical systems

P Seifner, K Cvejoski, A Körner, RJ Sánchez - arxiv preprint arxiv …, 2024 - arxiv.org
Dynamical systems governed by ordinary differential equations (ODEs) serve as models for
a vast number of natural and social phenomena. In this work, we offer a fresh perspective on …

Self-supervised contrastive learning performs non-linear system identification

RG Laiz, T Schmidt, S Schneider - arxiv preprint arxiv:2410.14673, 2024 - arxiv.org
Self-supervised learning (SSL) approaches have brought tremendous success across many
tasks and domains. It has been argued that these successes can be attributed to a link …

Modeling Sensorimotor Processing with Physics-Informed Neural Networks

A Perez Rotondo, A Marin Vargas, M Dimitriou… - bioRxiv, 2024 - biorxiv.org
Proprioception is essential for planning and executing precise movements. Muscle spindles,
the key mechanoreceptors for proprioception, are the principle sensory neurons enabling …

Adaptive parameters identification for nonlinear dynamics using deep permutation invariant networks

M Elaarabi, D Borzacchiello, PL Bot, YLE Guennec… - Machine Learning, 2025 - Springer
The promising outcomes of dynamical system identification techniques, such as SINDy
(Brunton et al. in Proc Natl Acad Sci 113 (15): 3932–3937, 2016), highlight their advantages …

Discovering Physics Laws of Dynamical Systems via Invariant Function Learning

S Gui, X Li, S Ji - arxiv preprint arxiv:2502.04495, 2025 - arxiv.org
We consider learning underlying laws of dynamical systems governed by ordinary
differential equations (ODE). A key challenge is how to discover intrinsic dynamics across …