English(EN) The Value Function Semi-Algebraic Set in Partially Observable Markov Decision Processes

POMDP值函数被表征为半代数集

作者 PulseAugur 编辑部 · [2 个来源] · 2026-06-02 02:30

研究人员已将部分可观察马尔可夫决策过程（POMDP）中的可行值函数集表征为半代数集。这扩展了先前关于完全可观察过程的研究，揭示了部分可观察性引入了非线性约束和更复杂的几何结构。这些发现为策略优化提供了新的见解，并突显了POMDP中的独特现象，例如孤立的局部奖励最大化器的可能性。 AI

影响为不确定环境中的高级AI决策系统提供了理论基础。

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arXiv stat.ML TIER_1 English(EN) · Ryan A. Anderson, Guido Montufar · 2026-06-03 04:00

部分可观察马尔可夫决策过程中的值函数半代数集

arXiv:2606.03048v1 Announce Type: cross Abstract: We study the geometry of feasible value functions in infinite-horizon partially observable Markov decision processes (POMDPs) under memoryless stochastic policies. Our main contribution is a characterization of the feasible set of…
arXiv stat.ML TIER_1 English(EN) · Guido Montufar · 2026-06-02 02:30

部分可观察马尔可夫决策过程中的值函数半代数集

We study the geometry of feasible value functions in infinite-horizon partially observable Markov decision processes (POMDPs) under memoryless stochastic policies. Our main contribution is a characterization of the feasible set of value functions as a semi-algebraic set, defined …