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This paper proposes an observer-based framework for solving Partially Observable Markov Decision Processes (POMDPs) when an accurate model is not available. We first propose to use a Moving Horizon Estimation-Model Predictive Control…

系统与控制 · 电气工程与系统科学 2021-03-23 Hossein Nejatbakhsh Esfahani , Arash Bahari Kordabad , Sebastien Gros

We study the model-based reward-free reinforcement learning with linear function approximation for episodic Markov decision processes (MDPs). In this setting, the agent works in two phases. In the exploration phase, the agent interacts with…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Quanquan Gu

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

计算机科学中的逻辑 · 计算机科学 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We consider the problem of minimizing a certainty equivalent of the total or discounted cost over a finite and an infinite time horizon which is generated by a Partially Observable Markov Decision Process (POMDP). The certainty equivalent…

概率论 · 数学 2021-07-21 Nicole Bäuerle , Ulrich Rieder

Designing control policies for large, distributed systems is challenging, especially in the context of critical, temporal logic based specifications (e.g., safety) that must be met with high probability. Compositional methods for such…

系统与控制 · 电气工程与系统科学 2024-10-08 Krishna C. Kalagarla , Matthew Low , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Approximate dynamic programming is a popular method for solving large Markov decision processes. This paper describes a new class of approximate dynamic programming (ADP) methods- distributionally robust ADP-that address the curse of…

机器学习 · 统计学 2012-05-22 Marek Petrik

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

系统与控制 · 计算机科学 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

Learning from demonstration has proven effective in robotics for acquiring natural behaviors, such as stylistic motions and lifelike agility, particularly when explicitly defining style-oriented reward functions is challenging. Synthesizing…

机器人学 · 计算机科学 2025-09-24 Kehan Wen , Chenhao Li , Junzhe He , Marco Hutter

We study an optimal process control problem with multiple assignable causes. The process is initially in-control but is subject to random transition to one of multiple out-of-control states due to assignable causes. The objective is to find…

最优化与控制 · 数学 2012-12-12 Jue Wang , Chi-Guhn Lee

We study policy optimization problems for deterministic Markov decision processes (MDPs) with metric state and action spaces, which we refer to as Metric Policy Optimization Problems (MPOPs). Our goal is to establish theoretical results on…

最优化与控制 · 数学 2022-07-14 Victor D. Dorobantu , Kamyar Azizzadenesheli , Yisong Yue

Large-scale Markov decision processes (MDPs) require planning algorithms with runtime independent of the number of states of the MDP. We consider the planning problem in MDPs using linear value function approximation with only weak…

机器学习 · 计算机科学 2020-07-14 Roshan Shariff , Csaba Szepesvári

Sample-efficient exploration is crucial not only for discovering rewarding experiences but also for adapting to environment changes in a task-agnostic fashion. A principled treatment of the problem of optimal input synthesis for system…

机器学习 · 计算机科学 2019-10-10 Matthias Schultheis , Boris Belousov , Hany Abdulsamad , Jan Peters

Consider a Markov decision process (MDP) that admits a set of state-action features, which can linearly express the process's probabilistic transition model. We propose a parametric Q-learning algorithm that finds an approximate-optimal…

机器学习 · 计算机科学 2019-06-07 Lin F. Yang , Mengdi Wang

Partially-Observable Markov Decision Processes (POMDPs) are a well-known stochastic model for sequential decision making under limited information. We consider the EXPTIME-hard problem of synthesising policies that almost-surely reach some…

人工智能 · 计算机科学 2021-03-22 Sebastian Junges , Nils Jansen , Sanjit A. Seshia

Many physical systems have underlying safety considerations that require that the policy employed ensures the satisfaction of a set of constraints. The analytical formulation usually takes the form of a Constrained Markov Decision Process…

机器学习 · 计算机科学 2021-03-03 Aria HasanzadeZonuzy , Archana Bura , Dileep Kalathil , Srinivas Shakkottai

Decision-making under uncertainty is a critical aspect of many practical autonomous systems due to incomplete information. Partially Observable Markov Decision Processes (POMDPs) offer a mathematically principled framework for formulating…

人工智能 · 计算机科学 2025-10-28 Moran Barenboim , Vadim Indelman

We study the time-bounded reachability problem for continuous-time Markov decision processes (CTMDPs) and games (CTMGs). Existing techniques for this problem use discretisation techniques to break time into discrete intervals, and optimal…

计算机科学与博弈论 · 计算机科学 2011-07-11 John Fearnley , Markus Rabe , Sven Schewe , Lijun Zhang

In this paper, we consider a continuous-time Markov decision process (CTMDP) in Borel spaces, where the certainty equivalent with respect to the exponential utility of the total undiscounted cost is to be minimized. The cost rate is…

最优化与控制 · 数学 2016-11-29 Yi Zhang

Many control problems in environments that can be modeled as Markov decision processes (MDPs) concern infinite-time horizon specifications. The classical aim in this context is to compute a control policy that maximizes the probability of…

系统与控制 · 计算机科学 2017-05-03 Ruediger Ehlers , Salar Moarref , Ufuk Topcu

Multi-agent Markov Decision Processes (MMDPs) arise in a variety of applications including target tracking, control of multi-robot swarms, and multiplayer games. A key challenge in MMDPs occurs when the state and action spaces grow…

多智能体系统 · 计算机科学 2021-03-31 Dinuka Sahabandu , Luyao Niu , Andrew Clark , Radha Poovendran