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Reachability analysis of hybrid systems has been used as a safety verification tool to assess offline whether the state of a system is capable of remaining within a designated safe region for a given time horizon. Although it has been…

Optimization and Control · Mathematics 2014-04-24 Kendra Lesser , Meeko Oishi

The focus of this paper is on solving multi-robot planning problems in continuous spaces with partial observability. Decentralized partially observable Markov decision processes (Dec-POMDPs) are general models for multi-robot coordination…

Multiagent Systems · Computer Science 2015-02-24 Shayegan Omidshafiei , Ali-akbar Agha-mohammadi , Christopher Amato , Jonathan P. How

We introduce a class of partially observed Markov decision processes (POMDPs) with costs that can depend on both the value and (future) uncertainty associated with the initial state. These Initial-State Cost POMDPs (ISC-POMDPs) enable the…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Timothy L. Molloy

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (or minimize…

Optimization and Control · Mathematics 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

We propose an approach based on probabilistic models, in particular POMDPs, to plan optimized search processes of known objects by intelligent eye in hand robotic arms. Searching and reaching for a known object (a pen, a book, or a hammer)…

Robotics · Computer Science 2017-04-27 Marius Silaghi , Jixing Zheng

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

Optimization and Control · Mathematics 2025-01-03 Ali Devran Kara , Serdar Yuksel

In many engineering systems, proper predictive maintenance and operational control are essential to increase efficiency and reliability while reducing maintenance costs. However, one of the major challenges is that many sensors are used for…

Applications · Statistics 2025-12-09 Boyang Xu , Yunyi Kang , Xinyu Zhao , Hao Yan , Feng Ju

In recent years, reinforcement learning has achieved many remarkable successes due to the growing adoption of deep learning techniques and the rapid growth in computing power. Nevertheless, it is well-known that flat reinforcement learning…

Artificial Intelligence · Computer Science 2024-10-30 Le Pham Tuyen , Ngo Anh Vien , Abu Layek , TaeChoong Chung

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…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Hossein Nejatbakhsh Esfahani , Arash Bahari Kordabad , Sebastien Gros

Partially Observable Markov Decision Processes (POMDPs) are a general and principled framework for motion planning under uncertainty. Despite tremendous improvement in the scalability of POMDP solvers, long-horizon POMDPs (e.g., $\geq15$…

Robotics · Computer Science 2024-11-12 Yuanchu Liang , Edward Kim , Wil Thomason , Zachary Kingston , Hanna Kurniawati , Lydia E. Kavraki

Previous work on planning as active inference addresses finite horizon problems and solutions valid for online planning. We propose solving the general Stochastic Shortest-Path Markov Decision Process (SSP MDP) as probabilistic inference.…

Machine Learning · Computer Science 2021-09-14 Mohamed Baioumy , Bruno Lacerda , Paul Duckworth , Nick Hawes

We present POAPS, a novel planning system for defining Partially Observable Markov Decision Processes (POMDPs) that abstracts away from POMDP details for the benefit of non-expert practitioners. POAPS includes an expressive adaptive…

Artificial Intelligence · Computer Science 2016-09-01 Christopher H. Lin , Mausam , Daniel S. Weld

We address the problem of controlling a mobile robot to explore a partially known environment. The robot's objective is the maximization of the amount of information collected about the environment. We formulate the problem as a partially…

Robotics · Computer Science 2017-03-08 Mikko Lauri , Risto Ritala

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

Artificial Intelligence · Computer Science 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

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…

Machine Learning · Computer Science 2020-07-14 Roshan Shariff , Csaba Szepesvári

The partially observable Markov decision process (POMDP) provides a principled general framework for planning under uncertainty, but solving POMDPs optimally is computationally intractable, due to the "curse of dimensionality" and the…

Artificial Intelligence · Computer Science 2017-09-20 Nan Ye , Adhiraj Somani , David Hsu , Wee Sun Lee

Partially Observable Markov Decision Processes (POMDPs) can model complex sequential decision-making problems under stochastic and uncertain environments. A main reason hindering their broad adoption in real-world applications is the lack…

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…

Logic in Computer Science · Computer Science 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

Applications of Reinforcement Learning (RL), in which agents learn to make a sequence of decisions despite lacking complete information about the latent states of the controlled system, that is, they act under partial observability of the…

Machine Learning · Computer Science 2022-05-26 Qinghua Liu , Alan Chung , Csaba Szepesvári , Chi Jin

We present a technique for speeding up the convergence of value iteration for partially observable Markov decisions processes (POMDPs). The underlying idea is similar to that behind modified policy iteration for fully observable Markov…

Artificial Intelligence · Computer Science 2013-01-30 Nevin Lianwen Zhang , Stephen S. Lee , Weihong Zhang