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Models of many real-life applications, such as queuing models of communication networks or computing systems, have a countably infinite state-space. Algorithmic and learning procedures that have been developed to produce optimal policies…

系统与控制 · 电气工程与系统科学 2024-03-19 Saghar Adler , Vijay Subramanian

Partially Observable Monte-Carlo Planning (POMCP) is a powerful online algorithm able to generate approximate policies for large Partially Observable Markov Decision Processes. The online nature of this method supports scalability by…

人工智能 · 计算机科学 2021-04-29 Giulio Mazzi , Alberto Castellini , Alessandro Farinelli

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

机器学习 · 计算机科学 2026-05-06 Cyrille Kone , Kevin Jamieson

This paper investigates the optimization problem of an infinite stage discrete time Markov decision process (MDP) with a long-run average metric considering both mean and variance of rewards together. Such performance metric is important…

最优化与控制 · 数学 2020-08-11 Li Xia

This work studies the problem of batch off-policy evaluation for Reinforcement Learning in partially observable environments. Off-policy evaluation under partial observability is inherently prone to bias, with risk of arbitrarily large…

机器学习 · 计算机科学 2019-11-26 Guy Tennenholtz , Shie Mannor , Uri Shalit

Calculating optimal policies is known to be computationally difficult for Markov decision processes (MDPs) with Borel state and action spaces. This paper studies finite-state approximations of discrete time Markov decision processes with…

最优化与控制 · 数学 2016-09-23 Naci Saldi , Serdar Yüksel , Tamás Linder

This article provides an introductory tutorial on structural results in partially observed Markov decision processes (POMDPs). Typically, computing the optimal policy of a POMDP is computationally intractable. We use lattice program- ming…

最优化与控制 · 数学 2015-12-15 Vikram Krishnamurthy

Labeled continuous-time Markov chains (CTMCs) describe processes subject to random timing and partial observability. In applications such as runtime monitoring, we must incorporate past observations. The timing of these observations matters…

计算机科学中的逻辑 · 计算机科学 2024-01-30 Thom Badings , Matthias Volk , Sebastian Junges , Marielle Stoelinga , Nils Jansen

We provide a new algorithm for solving Risk Sensitive Partially Observable Markov Decisions Processes, when the risk is modeled by a utility function, and both the state space and the space of observations is finite. This algorithm is based…

最优化与控制 · 数学 2022-07-19 Arsham Afsardeir , Andreas Kapetanis , Vaios Laschos , Klaus Obermayer

This paper investigates goal-oriented remote monitoring of an unobservable Markov source using energy-harvesting sensors that communicate with a mobile receiver, such as a Low Earth Orbit (LEO) satellite or Unmanned Aerial Vehicle (UAV).…

系统与控制 · 电气工程与系统科学 2026-02-20 Sehani Siriwardana , Jean Michel de Souza Sant'Ana , Richard Demo Souza , Abolfazl Zakeri , Onel Luis Alcaraz López

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

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…

人工智能 · 计算机科学 2017-09-20 Nan Ye , Adhiraj Somani , David Hsu , Wee Sun Lee

Perception-related tasks often arise in autonomous systems operating under partial observability. This work studies the problem of synthesizing optimal policies for complex perception-related objectives in environments modeled by partially…

系统与控制 · 电气工程与系统科学 2025-07-08 Zetong Xuan , Yu Wang

The intent of this research is to generate a set of non-dominated policies from which one of two agents (the leader) can select a most preferred policy to control a dynamic system that is also affected by the control decisions of the other…

最优化与控制 · 数学 2014-04-18 Yanling Chang , Alan L. Erera , Chelsea C. White

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…

人工智能 · 计算机科学 2013-01-30 Nevin Lianwen Zhang , Stephen S. Lee , Weihong Zhang

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

最优化与控制 · 数学 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

We consider the problem belief-state monitoring for the purposes of implementing a policy for a partially-observable Markov decision process (POMDP), specifically how one might approximate the belief state. Other schemes for belief-state…

人工智能 · 计算机科学 2013-01-18 Pascal Poupart , Craig Boutilier

Planning plays an important role in the broad class of decision theory. Planning has drawn much attention in recent work in the robotics and sequential decision making areas. Recently, Reinforcement Learning (RL), as an agent-environment…

人工智能 · 计算机科学 2016-08-18 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

In this study I proposed a filtering beliefs method for improving performance of Partially Observable Markov Decision Processes(POMDPs), which is a method wildly used in autonomous robot and many other domains concerning control policy. My…

人工智能 · 计算机科学 2021-01-07 Oscar LiJen Hsu

Using a novel toy nautical navigation environment, we show that dynamic programming can be used when only incomplete information about a partially observed Markov decision process (POMDP) is known. By incorporating uncertainty into our…

最优化与控制 · 数学 2022-07-20 Chris Beeler , Xinkai Li , Colin Bellinger , Mark Crowley , Maia Fraser , Isaac Tamblyn