Sequential Monte Carlo for Policy Optimization in Continuous POMDPs

Fuente: arXiv
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Autori principali: Abdulsamad, Hany, Iqbal, Sahel, Särkkä, Simo
Natura: Preprint
Pubblicazione: 2025
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author Abdulsamad, Hany
Iqbal, Sahel
Särkkä, Simo
author_facet Abdulsamad, Hany
Iqbal, Sahel
Särkkä, Simo
contents Optimal decision-making under partial observability requires agents to balance reducing uncertainty (exploration) against pursuing immediate objectives (exploitation). In this paper, we introduce a novel policy optimization framework for continuous partially observable Markov decision processes (POMDPs) that explicitly addresses this challenge. Our method casts policy learning as probabilistic inference in a non-Markovian Feynman--Kac model that inherently captures the value of information gathering by anticipating future observations, without requiring suboptimal approximations or handcrafted heuristics. To optimize policies under this model, we develop a nested sequential Monte Carlo (SMC) algorithm that efficiently estimates a history-dependent policy gradient under samples from the optimal trajectory distribution induced by the POMDP. We demonstrate the effectiveness of our algorithm across standard continuous POMDP benchmarks, where existing methods struggle to act under uncertainty.
format Preprint
id arxiv_https___arxiv_org_abs_2505_16732
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sequential Monte Carlo for Policy Optimization in Continuous POMDPs
Abdulsamad, Hany
Iqbal, Sahel
Särkkä, Simo
Machine Learning
Artificial Intelligence
Optimal decision-making under partial observability requires agents to balance reducing uncertainty (exploration) against pursuing immediate objectives (exploitation). In this paper, we introduce a novel policy optimization framework for continuous partially observable Markov decision processes (POMDPs) that explicitly addresses this challenge. Our method casts policy learning as probabilistic inference in a non-Markovian Feynman--Kac model that inherently captures the value of information gathering by anticipating future observations, without requiring suboptimal approximations or handcrafted heuristics. To optimize policies under this model, we develop a nested sequential Monte Carlo (SMC) algorithm that efficiently estimates a history-dependent policy gradient under samples from the optimal trajectory distribution induced by the POMDP. We demonstrate the effectiveness of our algorithm across standard continuous POMDP benchmarks, where existing methods struggle to act under uncertainty.
title Sequential Monte Carlo for Policy Optimization in Continuous POMDPs
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2505.16732