Nonequilibrium statistical mechanics and optimal prediction of partially-observed complex systems

A Rupe, VV Vesselinov, JP Crutchfield - New Journal of Physics, 2022 - iopscience.iop.org
Only a subset of degrees of freedom are typically accessible or measurable in real-world
systems. As a consequence, the proper setting for empirical modeling is that of partially …

[HTML][HTML] Exploring predictive states via Cantor embeddings and Wasserstein distance

SP Loomis, JP Crutchfield - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
Predictive states for stochastic processes are a nonparametric and interpretable construct
with relevance across a multitude of modeling paradigms. Recent progress on the self …

Inferring Kernel -Machines: Discovering Structure in Complex Systems

AM Jurgens, N Brodu - arXiv preprint arXiv:2410.01076, 2024 - arxiv.org
Previously, we showed that computational mechanic's causal states--predictively-equivalent
trajectory classes for a stochastic dynamical system--can be cast into a reproducing kernel …

Whales in Space: Experiencing Aquatic Animals in Their Natural Place with the Hydroambiphone

JP Crutchfield, DD Dunn, AM Jurgens - bioRxiv, 2023 - biorxiv.org
Recording the undersea three-dimensional bioacoustic sound field in real-time promises
major benefits to marine behavior studies. We describe a novel hydrophone array---the …

Reproducing kernel Hilbert spaces cannot contain all continuous functions on a compact metric space

I Steinwart - Archiv der Mathematik, 2024 - Springer
Reproducing kernel Hilbert spaces cannot contain all continuous functions on a compact
metric space | Archiv der Mathematik Skip to main content SpringerLink Account Menu Find …

[图书][B] Nonequilibrium Fluctuations and Information Processing in Mesoscopic Complex Systems

MT Semaan - 2022 - search.proquest.com
Natural systems are regularly" far from equilibrium:" transient, dynamical, and in constant
interaction with their environments. These systems are often complex, comprising many …