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We consider the problem of approximating the reachability probabilities in Markov decision processes (MDP) with uncountable (continuous) state and action spaces. While there are algorithms that, for special classes of such MDP, provide a…

系统与控制 · 电气工程与系统科学 2022-07-13 Kush Grover , Jan Křetínský , Tobias Meggendorfer , Maximilian Weininger

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

最优化与控制 · 数学 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

We consider the problem of planning under observation and motion uncertainty for nonlinear robotics systems. Determining the optimal solution to this problem, generally formulated as a Partially Observed Markov Decision Process (POMDP), is…

机器人学 · 计算机科学 2017-07-11 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

We study the problem of synthesizing a controller that maximizes the entropy of a partially observable Markov decision process (POMDP) subject to a constraint on the expected total reward. Such a controller minimizes the predictability of a…

最优化与控制 · 数学 2019-09-16 Michael Hibbard , Yagiz Savas , Bo Wu , Takashi Tanaka , Ufuk Topcu

Partially observable Markov decision processes (POMDPs) are a fundamental model for sequential decision-making under uncertainty. However, many verification and synthesis problems for POMDPs are undecidable or intractable. Most prominently,…

人工智能 · 计算机科学 2026-04-23 Nathanaël Fijalkow , Arka Ghosh , Roman Kniazev , Guillermo A. Pérez , Pierre Vandenhove

Effective decision-making in autonomous driving relies on accurate inference of other traffic agents' future behaviors. To achieve this, we propose an online belief-update-based behavior prediction model and an efficient planner for…

机器人学 · 计算机科学 2024-06-19 Zhiyu Huang , Chen Tang , Chen Lv , Masayoshi Tomizuka , Wei Zhan

In this paper, we present pomdp_py, a general purpose Partially Observable Markov Decision Process (POMDP) library written in Python and Cython. Existing POMDP libraries often hinder accessibility and efficient prototyping due to the…

人工智能 · 计算机科学 2020-04-22 Kaiyu Zheng , Stefanie Tellex

Rather than augmenting rewards with penalties for undesired behavior, Constrained Partially Observable Markov Decision Processes (CPOMDPs) plan safely by imposing inviolable hard constraint value budgets. Previous work performing online…

人工智能 · 计算机科学 2022-12-26 Arec Jamgochian , Anthony Corso , Mykel J. Kochenderfer

This paper extends the framework of partially observable Markov decision processes (POMDPs) to multi-agent settings by incorporating the notion of agent models into the state space. Agents maintain beliefs over physical states of the…

人工智能 · 计算机科学 2011-09-13 P. Doshi , P. J. Gmytrasiewicz

Constrained partially observable Markov decision processes (CPOMDPs) have been used to model various real-world phenomena. However, they are notoriously difficult to solve to optimality, and there exist only a few approximation methods for…

人工智能 · 计算机科学 2023-06-27 Robert K. Helmeczi , Can Kavaklioglu , Mucahit Cevik

POMDPs are useful models for systems where the true underlying state is not known completely to an outside observer; the outside observer incompletely knows the true state of the system, and observes a noisy version of the true system…

机器学习 · 计算机科学 2021-09-01 Caleb M. Bowyer

This work introduces a novel deep learning-based architecture, termed the Deep Belief Markov Model (DBMM), which provides efficient, model-formulation agnostic inference in Partially Observable Markov Decision Process (POMDP) problems. The…

机器学习 · 计算机科学 2025-03-18 Giacomo Arcieri , Konstantinos G. Papakonstantinou , Daniel Straub , Eleni Chatzi

Uncertainties in dynamic road environments pose significant challenges for behavior and trajectory planning in autonomous driving. This paper introduces Hi-Drive, a hierarchical planning algorithm addressing uncertainties at both behavior…

机器人学 · 计算机科学 2025-10-16 Xuanjin Jin , Chendong Zeng , Shengfa Zhu , Chunxiao Liu , Panpan Cai

This paper deals with control of partially observable discrete-time stochastic systems. It introduces and studies Markov Decision Processes with Incomplete Information and with semi-uniform Feller transition probabilities. The important…

最优化与控制 · 数学 2022-08-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

计算机科学中的逻辑 · 计算机科学 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

Interpretable reinforcement learning policies are essential for high-stakes decision-making, yet optimizing decision tree policies in Markov Decision Processes (MDPs) remains challenging. We propose SPOT, a novel method for computing…

机器学习 · 计算机科学 2025-10-23 Xuyuan Xiong , Pedro Chumpitaz-Flores , Kaixun Hua , Cheng Hua

Finding optimal policies for Partially Observable Markov Decision Processes (POMDPs) is challenging due to their uncountable state spaces when transformed into fully observable Markov Decision Processes (MDPs) using belief states.…

最优化与控制 · 数学 2024-09-09 Yunus Emre Demirci , Ali Devran Kara , Serdar Yüksel

Robust Markov Decision Processes (MDPs) are a powerful framework for modeling sequential decision-making problems with model uncertainty. This paper proposes the first first-order framework for solving robust MDPs. Our algorithm interleaves…

最优化与控制 · 数学 2021-01-18 Julien Grand-Clément , Christian Kroer

Currently, large partially observable Markov decision processes (POMDPs) are often solved by sampling-based online methods which interleave planning and execution phases. However, a pre-computed offline policy is more desirable in POMDP…

人工智能 · 计算机科学 2025-07-29 Yang You , Vincent Thomas , Alex Schutz , Robert Skilton , Nick Hawes , Olivier Buffet

In this article, we are interested in planning problems where the agent is aware of the presence of an observer, and where this observer is in a partial observability situation. The agent has to choose its strategy so as to optimize the…

人工智能 · 计算机科学 2025-11-24 Salomé Lepers , Vincent Thomas , Olivier Buffet