Belief-State Query Policies for User-Aligned POMDPs

Fuente: arXiv
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Autori principali: Bramblett, Daniel, Srivastava, Siddharth
Natura: Preprint
Pubblicazione: 2024
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author Bramblett, Daniel
Srivastava, Siddharth
author_facet Bramblett, Daniel
Srivastava, Siddharth
contents Planning in real-world settings often entails addressing partial observability while aligning with users' requirements. We present a novel framework for expressing users' constraints and preferences about agent behavior in a partially observable setting using parameterized belief-state query (BSQ) policies in the setting of goal-oriented partially observable Markov decision processes (gPOMDPs). We present the first formal analysis of such constraints and prove that while the expected cost function of a parameterized BSQ policy w.r.t its parameters is not convex, it is piecewise constant and yields an implicit discrete parameter search space that is finite for finite horizons. This theoretical result leads to novel algorithms that optimize gPOMDP agent behavior with guaranteed user alignment. Analysis proves that our algorithms converge to the optimal user-aligned behavior in the limit. Empirical results show that parameterized BSQ policies provide a computationally feasible approach for user-aligned planning in partially observable settings.
format Preprint
id arxiv_https___arxiv_org_abs_2405_15907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Belief-State Query Policies for User-Aligned POMDPs
Bramblett, Daniel
Srivastava, Siddharth
Artificial Intelligence
Planning in real-world settings often entails addressing partial observability while aligning with users' requirements. We present a novel framework for expressing users' constraints and preferences about agent behavior in a partially observable setting using parameterized belief-state query (BSQ) policies in the setting of goal-oriented partially observable Markov decision processes (gPOMDPs). We present the first formal analysis of such constraints and prove that while the expected cost function of a parameterized BSQ policy w.r.t its parameters is not convex, it is piecewise constant and yields an implicit discrete parameter search space that is finite for finite horizons. This theoretical result leads to novel algorithms that optimize gPOMDP agent behavior with guaranteed user alignment. Analysis proves that our algorithms converge to the optimal user-aligned behavior in the limit. Empirical results show that parameterized BSQ policies provide a computationally feasible approach for user-aligned planning in partially observable settings.
title Belief-State Query Policies for User-Aligned POMDPs
topic Artificial Intelligence
url https://arxiv.org/abs/2405.15907