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Partially-observable Markov decision processes (POMDPs) with discounted-sum payoff are a standard framework to model a wide range of problems related to decision making under uncertainty. Traditionally, the goal has been to obtain policies…

人工智能 · 计算机科学 2018-05-01 Krishnendu Chatterjee , Adrián Elgyütt , Petr Novotný , Owen Rouillé

We consider partially observable Markov decision processes (POMDPs) with a set of target states and every transition is associated with an integer cost. The optimization objective we study asks to minimize the expected total cost till the…

人工智能 · 计算机科学 2014-11-17 Krishnendu Chatterjee , Martin Chmelík , Raghav Gupta , Ayush Kanodia

The fixed-horizon constrained Markov Decision Process (C-MDP) is a well-known model for planning in stochastic environments under operating constraints. Chance-Constrained MDP (CC-MDP) is a variant that allows bounding the probability of…

人工智能 · 计算机科学 2023-04-19 Majid Khonji

The problem of constrained Markov decision process (CMDP) is investigated, where an agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its utilities/costs. A new primal-dual approach is…

最优化与控制 · 数学 2021-10-22 Tianjiao Li , Ziwei Guan , Shaofeng Zou , Tengyu Xu , Yingbin Liang , Guanghui Lan

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

Reinforcement learning is widely used in applications where one needs to perform sequential decisions while interacting with the environment. The problem becomes more challenging when the decision requirement includes satisfying some safety…

机器学习 · 计算机科学 2022-07-15 Qinbo Bai , Amrit Singh Bedi , Mridul Agarwal , Alec Koppel , Vaneet Aggarwal

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

统计理论 · 数学 2021-11-11 Zhengling Qi , Peng Liao

Robust Markov decision processes (MDPs) are used for applications of dynamic optimization in uncertain environments and have been studied extensively. Many of the main properties and algorithms of MDPs, such as value iteration and policy…

最优化与控制 · 数学 2023-12-14 Julien Grand-Clément , Marek Petrik

Partially observable Markov decision processes (POMDP) are a useful model for decision-making under partial observability and stochastic actions. Partially Observable Monte-Carlo Planning is an online algorithm for deciding on the next…

人工智能 · 计算机科学 2023-10-05 Oded Blumenthal , Guy Shani

Continuous control and planning remains a major challenge in robotics and machine learning. Neuroscience offers the possibility of learning from animal brains that implement highly successful controllers, but it is unclear how to relate an…

人工智能 · 计算机科学 2019-08-14 Saurabh Daptardar , Paul Schrater , Xaq Pitkow

Possibilistic and qualitative POMDPs (pi-POMDPs) are counterparts of POMDPs used to model situations where the agent's initial belief or observation probabilities are imprecise due to lack of past experiences or insufficient data…

人工智能 · 计算机科学 2013-09-27 Nicolas Drougard , Florent Teichteil-Konigsbuch , Jean-Loup Farges , Didier Dubois

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 (minimize…

最优化与控制 · 数学 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

Partially Observable Markov Decision Processes (POMDPs) provide a robust framework for decision-making under uncertainty in applications such as autonomous driving and robotic exploration. Their extension, $\rho$POMDPs, introduces…

人工智能 · 计算机科学 2025-02-05 Ron Benchetrit , Idan Lev-Yehudi , Andrey Zhitnikov , Vadim Indelman

The centralized training for decentralized execution paradigm emerged as the state-of-the-art approach to $\epsilon$-optimally solving decentralized partially observable Markov decision processes. However, scalability remains a significant…

机器学习 · 计算机科学 2025-01-14 Johan Peralez , Aurèlien Delage , Jacopo Castellini , Rafael F. Cunha , Jilles S. Dibangoye

The general sequential decision-making problem, which includes Markov decision processes (MDPs) and partially observable MDPs (POMDPs) as special cases, aims at maximizing a cumulative reward by making a sequence of decisions based on a…

机器学习 · 计算机科学 2024-02-07 Ruiquan Huang , Yingbin Liang , Jing Yang

Managing announced task completion times is a fundamental control problem in project management. While extensive research exists on estimating task durations and task scheduling, the problem of when and how to update completion times…

系统与控制 · 电气工程与系统科学 2026-03-17 Duncan Eddy , Esen Yel , Emma Passmore , Niles Egan , Grayson Armour , Dylan M. Asmar , Mykel J. Kochenderfer

Engagement-optimized adaptive tutoring systems may prioritize short-term behavioral signals over sustained learning outcomes, creating structural incentives for reward hacking in reinforcement learning policies. We formalize this challenge…

人工智能 · 计算机科学 2026-04-07 Oluseyi Olukola , Nick Rahimi

We study the problem of synthesizing a controller that maximizes the entropy of a partially observable Markov decision process (POMDP) subject to a constraint on the expected total reward. Such a controller minimizes the predictability of a…

最优化与控制 · 数学 2019-09-16 Michael Hibbard , Yagiz Savas , Bo Wu , Takashi Tanaka , Ufuk Topcu

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

Recent benchmarks for memory-augmented reinforcement learning (RL) have introduced partially observable Markov decision process (POMDP) environments in which agents must use historical observations to make decisions. However, these…

人工智能 · 计算机科学 2026-04-15 Yongyi Wang , Lingfeng Li , Bozhou Chen , Ang Li , Hanyu Liu , Qirui Zheng , Xionghui Yang , Wenxin Li