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We propose a new reinforcement learning algorithm for partially observable Markov decision processes (POMDP) based on spectral decomposition methods. While spectral methods have been previously employed for consistent learning of (passive)…

Artificial Intelligence · Computer Science 2017-06-20 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

This work introduces a framework for analyzing the Age of Incorrect Information (AoII) in a real-time monitoring system with a generic discrete-time Markov source. We study a noisy communication system employing a hybrid automatic repeat…

Information Theory · Computer Science 2026-03-31 Konstantinos Bountrogiannis , Anthony Ephremides , Panagiotis Tsakalides , George Tzagkarakis

Partially observable Markov decision processes (POMDPs) have recently become popular among many AI researchers because they serve as a natural model for planning under uncertainty. Value iteration is a well-known algorithm for finding…

Artificial Intelligence · Computer Science 2011-06-02 N. L. Zhang , W. Zhang

We study planning problems where autonomous agents operate inside environments that are subject to uncertainties and not fully observable. Partially observable Markov decision processes (POMDPs) are a natural formal model to capture such…

Artificial Intelligence · Computer Science 2018-02-28 Steven Carr , Nils Jansen , Ralf Wimmer , Jie Fu , Ufuk Topcu

We consider sensor scheduling as the optimal observability problem for partially observable Markov decision processes (POMDP). This model fits to the cases where a Markov process is observed by a single sensor which needs to be dynamically…

Information Theory · Computer Science 2016-11-15 Mohammad Rezaeian

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

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…

Optimization and Control · Mathematics 2012-12-12 Jue Wang , Chi-Guhn Lee

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

Artificial Intelligence · Computer Science 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

Information theory has been very successful in obtaining performance limits for various problems such as communication, compression and hypothesis testing. Likewise, stochastic control theory provides a characterization of optimal policies…

Information Theory · Computer Science 2018-10-15 Dhruva Kartik , Ekraam Sabir , Urbashi Mitra , Prem Natarajan

We present an efficient reinforcement learning algorithm that learns the optimal admission control policy in a partially observable queueing network. Specifically, only the arrival and departure times from the network are observable, and…

Machine Learning · Computer Science 2023-08-07 Jonatha Anselmi , Bruno Gaujal , Louis-Sébastien Rebuffi

This paper studies the synthesis of a joint control and active perception policy for a stochastic system modeled as a partially observable Markov decision process (POMDP), subject to temporal logic specifications. The POMDP actions…

Systems and Control · Electrical Eng. & Systems 2025-04-21 Chongyang Shi , Michael R. Dorothy , Jie Fu

Optimal decision-making presents a significant challenge for autonomous systems operating in uncertain, stochastic and time-varying environments. Environmental variability over time can significantly impact the system's optimal decision…

Robotics · Computer Science 2024-03-11 Gokul Puthumanaillam , Xiangyu Liu , Negar Mehr , Melkior Ornik

This paper investigates manipulation of multiple unknown objects in a crowded environment. Because of incomplete knowledge due to unknown objects and occlusions in visual observations, object observations are imperfect and action success is…

Robotics · Computer Science 2014-07-09 Joni Pajarinen , Ville Kyrki

This paper attempts to study the optimal stopping time for semi-Markov processes (SMPs) under the discount optimization criteria with unbounded cost rates. In our work, we introduce an explicit construction of the equivalent semi-Markov…

Probability · Mathematics 2021-01-05 Fang Chen , Xianping Guo , Zhong-Wei Liao

What are the optimal times for an Internet of Things (IoT) device to act as a blockchain miner? The aim is to minimize the energy consumed by low-power IoT devices that log their data into a secure (tamper-proof) distributed ledger. We…

Cryptography and Security · Computer Science 2023-08-21 Anurag Gupta , Vikram Krishnamurthy

We develop an approach for solving one-sided optimal stopping problems in discrete time for general underlying Markov processes on the real line. The main idea is to transform the problem into an auxiliary problem for the ladder height…

Probability · Mathematics 2018-10-29 Sören Christensen , Albrecht Irle

We consider a simple discrete-time controlled queueing system, where the controller has a choice of which server to use at each time slot and server performance varies according to a Markov modulated random environment. We explore the role…

Optimization and Control · Mathematics 2016-10-11 Azam Asanjarani , Yoni Nazarathy

This paper considers a cross-layer adaptive modulation system that is modeled as a Markov decision process (MDP). We study how to utilize the monotonicity of the optimal transmission policy to relieve the computational complexity of dynamic…

Machine Learning · Statistics 2015-08-25 Ni Ding , Parastoo Sadeghi , Rodney A. Kennedy

In this paper, we consider the optimal stopping problem on semi-Markov processes (SMPs) with finite horizon, and aim to establish the existence and computation of optimal stopping times. To achieve the goal, we first develop the main…

Probability · Mathematics 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

In many interactive decision-making settings, there is latent and unobserved information that remains fixed. Consider, for example, a dialogue system, where complete information about a user, such as the user's preferences, is not given. In…

Machine Learning · Computer Science 2023-10-12 Jeongyeol Kwon , Yonathan Efroni , Shie Mannor , Constantine Caramanis