Nesting Particle Filters for Experimental Design in Dynamical Systems

Fuente: arXiv
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Hauptverfasser: Iqbal, Sahel, Corenflos, Adrien, Särkkä, Simo, Abdulsamad, Hany
Format: Preprint
Veröffentlicht: 2024
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author Iqbal, Sahel
Corenflos, Adrien
Särkkä, Simo
Abdulsamad, Hany
author_facet Iqbal, Sahel
Corenflos, Adrien
Särkkä, Simo
Abdulsamad, Hany
contents In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo technique to infer optimal designs, and embed it into a particle Markov chain Monte Carlo framework to perform gradient-based policy amortization. Our approach is distinct from other amortized experimental design techniques, as it does not rely on contrastive estimators. Numerical validation on a set of dynamical systems showcases the efficacy of our method in comparison to other state-of-the-art strategies.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07868
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nesting Particle Filters for Experimental Design in Dynamical Systems
Iqbal, Sahel
Corenflos, Adrien
Särkkä, Simo
Abdulsamad, Hany
Machine Learning
Methodology
In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo technique to infer optimal designs, and embed it into a particle Markov chain Monte Carlo framework to perform gradient-based policy amortization. Our approach is distinct from other amortized experimental design techniques, as it does not rely on contrastive estimators. Numerical validation on a set of dynamical systems showcases the efficacy of our method in comparison to other state-of-the-art strategies.
title Nesting Particle Filters for Experimental Design in Dynamical Systems
topic Machine Learning
Methodology
url https://arxiv.org/abs/2402.07868