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Decoding the brain: From neural representations to mechanistic models
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 …
perception, cognition, and adaptive behavior. Neurons are organized into specialized brain …
Marrying causal representation learning with dynamical systems for science
Causal representation learning promises to extend causal models to hidden causal
variables from raw entangled measurements. However, most progress has focused on …
variables from raw entangled measurements. However, most progress has focused on …
[HTML][HTML] Large language models for automatic equation discovery of nonlinear dynamics
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 …
pivotal research domain in nonlinear systems. Previous methods based on symbolic …
Out-of-domain generalization in dynamical systems reconstruction
In science we are interested in finding the governing equations, the dynamical rules,
underlying empirical phenomena. While traditionally scientific models are derived through …
underlying empirical phenomena. While traditionally scientific models are derived through …
A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming
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 …
results. Unlike other machine learning methods such as, eg random forests or neural …
Foundational inference models for dynamical systems
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 …
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
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 …
tasks and domains. It has been argued that these successes can be attributed to a link …
Modeling Sensorimotor Processing with Physics-Informed Neural Networks
Proprioception is essential for planning and executing precise movements. Muscle spindles,
the key mechanoreceptors for proprioception, are the principle sensory neurons enabling …
the key mechanoreceptors for proprioception, are the principle sensory neurons enabling …
Adaptive parameters identification for nonlinear dynamics using deep permutation invariant networks
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 …
(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
We consider learning underlying laws of dynamical systems governed by ordinary
differential equations (ODE). A key challenge is how to discover intrinsic dynamics across …
differential equations (ODE). A key challenge is how to discover intrinsic dynamics across …