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We consider infinite-state Markov decision processes (MDPs) that are induced by extensions of vector addition systems with states (VASS). Verification conditions for these MDPs are described by reachability and Buchi objectives w.r.t. given…

计算机科学中的逻辑 · 计算机科学 2016-01-14 Parosh Aziz Abdulla , Radu Ciobanu , Richard Mayr , Arnaud Sangnier , Jeremy Sproston

We describe an approach for exploiting structure in Markov Decision Processes with continuous state variables. At each step of the dynamic programming, the state space is dynamically partitioned into regions where the value function is the…

人工智能 · 计算机科学 2012-07-19 Zhengzhu Feng , Richard Dearden , Nicolas Meuleau , Richard Washington

Online planning under uncertainty in partially observable domains is an essential capability in robotics and AI. The partially observable Markov decision process (POMDP) is a mathematically principled framework for addressing…

机器人学 · 计算机科学 2024-10-14 Da Kong , Vadim Indelman

This paper discusses algorithms for solving Markov decision processes (MDPs) that have monotone optimal policies. We propose a two-stage alternating convex optimization scheme that can accelerate the search for an optimal policy by…

系统与控制 · 计算机科学 2017-04-04 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

Piecewise Deterministic Monte Carlo algorithms enable simulation from a posterior distribution, whilst only needing to access a sub-sample of data at each iteration. We show how they can be implemented in settings where the parameters live…

Partially Observable Markov Decision Processes (POMDPs) are the standard framework for decision-making under uncertainty. While sampling-based methods scale well, they lack formal correctness guarantees, making them unsuitable for…

人工智能 · 计算机科学 2026-05-15 Debraj Chakraborty , Anirban Majumdar , Prince Mathew , Sayan Mukherjee , Jean-François Raskin

We study a class of sequential decision-making problems with augmented predictions, potentially provided by a machine learning algorithm. In this setting, the decision-maker receives prediction intervals for unknown parameters that become…

机器学习 · 计算机科学 2025-05-05 Xin Chen , Yuze Chen , Yuan Zhou

We consider a partially observable Markov decision problem (POMDP) that models a class of sequencing problems. Although POMDPs are typically intractable, our formulation admits tractable solution. Instead of maintaining a value function…

人工智能 · 计算机科学 2013-01-14 Paat Rusmevichientong , Benjamin van Roy

In this work, we design quantum algorithms that are more efficient than classical algorithms to solve time-dependent and finite-horizon Markov Decision Processes (MDPs) in two distinct settings: (1) In the exact dynamics setting, where the…

量子物理 · 物理学 2025-08-11 Bin Luo , Yuwen Huang , Jonathan Allcock , Xiaojun Lin , Shengyu Zhang , John C. S. Lui

Partially observable Markov decision processes (POMDPs) are widely used in probabilistic planning problems in which an agent interacts with an environment using noisy and imprecise sensors. We study a setting in which the sensors are only…

人工智能 · 计算机科学 2017-10-03 Krishnendu Chatterjee , Martin Chmelik , Ufuk Topcu

Partially observable Markov decision processes (POMDPs) are a general mathematical model for sequential decision-making in stochastic environments under state uncertainty. POMDPs are often solved \textit{online}, which enables the algorithm…

人工智能 · 计算机科学 2025-03-26 Yunuo Zhang , Baiting Luo , Ayan Mukhopadhyay , Abhishek Dubey

In this paper, we consider solving discounted Markov Decision Processes (MDPs) under the constraint that the resulting policy is stabilizing. In practice MDPs are solved based on some form of policy approximation. We will leverage recent…

机器学习 · 计算机科学 2021-02-03 Mario Zanon , Sébastien Gros , Michele Palladino

Responsibility attribution is a key concept of accountable multi-agent decision making. Given a sequence of actions, responsibility attribution mechanisms quantify the impact of each participating agent to the final outcome. One such…

人工智能 · 计算机科学 2023-02-27 Stelios Triantafyllou , Goran Radanovic

General purpose intelligent learning agents cycle through (complex,non-MDP) sequences of observations, actions, and rewards. On the other hand, reinforcement learning is well-developed for small finite state Markov Decision Processes…

人工智能 · 计算机科学 2009-12-30 Marcus Hutter

Partially observable Markov decision processes (POMDPs) are a general framework for sequential decision-making under latent state uncertainty, yet learning in POMDPs is intractable in the worst case. Motivated by sensing and probing…

机器学习 · 计算机科学 2026-01-27 Ming Shi , Yingbin Liang , Ness B. Shroff

This paper is concerned with a data-driven technique for constructing finite Markov decision processes (MDPs) as finite abstractions of discrete-time stochastic control systems with unknown dynamics while providing formal closeness…

系统与控制 · 电气工程与系统科学 2022-06-30 Abolfazl Lavaei , Sadegh Soudjani , Emilio Frazzoli , Majid Zamani

This paper deals with the question of how to most effectively conduct experiments in Partially Observed Markov Decision Processes so as to provide data that is most informative about a parameter of interest. Methods from Markov decision…

其他统计学 · 统计学 2018-01-31 Leifur Thorbergsson , Giles Hooker

The Partially Observable Markov Decision Process has long been recognized as a rich framework for real-world planning and control problems, especially in robotics. However exact solutions in this framework are typically computationally…

人工智能 · 计算机科学 2011-10-05 J. Pineau , G. Gordon , S. Thrun

We present quantum observable Markov decision processes (QOMDPs), the quantum analogues of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent's state is represented as a quantum state and the agent can choose a…

人工智能 · 计算机科学 2015-06-19 Jennifer Barry , Daniel T. Barry , Scott Aaronson

We study and provide efficient algorithms for multi-objective model checking problems for Markov Decision Processes (MDPs). Given an MDP, M, and given multiple linear-time (\omega -regular or LTL) properties \varphi\_i, and probabilities…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Kousha Etessami , Marta Kwiatkowska , Moshe Y. Vardi , Mihalis Yannakakis
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