Training-Free Bayesian Filtering with Generative Emulators

Fuente: arXiv
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Autori principali: Savary, Thomas, Rozet, François, Louppe, Gilles
Natura: Preprint
Pubblicazione: 2026
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author Savary, Thomas
Rozet, François
Louppe, Gilles
author_facet Savary, Thomas
Rozet, François
Louppe, Gilles
contents Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and observations, but suffer from poor scalability in high dimensions. In this work, we show that diffusion-based emulators of dynamical systems can be used to implement, without additional training, an optimal variant of particle filters that has remained largely unexplored due to implementation challenges with classical numerical solvers. Experiments on nonlinear chaotic systems, including atmospheric dynamics, demonstrate that the proposed approach successfully scales particle filtering to high-dimensional settings.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20028
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Training-Free Bayesian Filtering with Generative Emulators
Savary, Thomas
Rozet, François
Louppe, Gilles
Machine Learning
Atmospheric and Oceanic Physics
Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and observations, but suffer from poor scalability in high dimensions. In this work, we show that diffusion-based emulators of dynamical systems can be used to implement, without additional training, an optimal variant of particle filters that has remained largely unexplored due to implementation challenges with classical numerical solvers. Experiments on nonlinear chaotic systems, including atmospheric dynamics, demonstrate that the proposed approach successfully scales particle filtering to high-dimensional settings.
title Training-Free Bayesian Filtering with Generative Emulators
topic Machine Learning
Atmospheric and Oceanic Physics
url https://arxiv.org/abs/2605.20028