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This position paper reflects on the state-of-the-art in decision-making under uncertainty. A classical assumption is that probabilities can sufficiently capture all uncertainty in a system. In this paper, the focus is on the uncertainty…

人工智能 · 计算机科学 2023-03-13 Thom Badings , Thiago D. Simão , Marnix Suilen , Nils Jansen

We consider Markov decision processes (MDPs) in which the transition probabilities and rewards belong to an uncertainty set parametrized by a collection of random variables. The probability distributions for these random parameters are…

计算机科学中的逻辑 · 计算机科学 2020-02-26 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen , Ufuk Topcu

Markov decision problems (MDPs) provide the foundations for a number of problems of interest to AI researchers studying automated planning and reinforcement learning. In this paper, we summarize results regarding the complexity of solving…

人工智能 · 计算机科学 2013-02-21 Michael L. Littman , Thomas L. Dean , Leslie Pack Kaelbling

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

系统与控制 · 电气工程与系统科学 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

最优化与控制 · 数学 2019-03-26 Victor Cohen , Axel Parmentier

We consider risk-sensitive Markov decision processes (MDPs), where the MDP model is influenced by a parameter which takes values in a compact metric space. We identify sufficient conditions under which small perturbations in the model…

最优化与控制 · 数学 2022-09-28 Shiping Shao , Abhishek Gupta , William B. Haskell

Recent works in Learning-Based Model Predictive Control of dynamical systems show impressive sample complexity performances using criteria from Information Theory to accelerate the learning procedure. However, the sequential exploration…

机器学习 · 计算机科学 2026-02-25 Rémy Hosseinkhan-Boucher , Onofrio Semeraro , Lionel Mathelin

Addressing uncertainty is critical for autonomous systems to robustly adapt to the real world. We formulate the problem of model uncertainty as a continuous Bayes-Adaptive Markov Decision Process (BAMDP), where an agent maintains a…

机器人学 · 计算机科学 2019-05-09 Gilwoo Lee , Brian Hou , Aditya Mandalika , Jeongseok Lee , Sanjiban Choudhury , Siddhartha S. Srinivasa

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

机器学习 · 计算机科学 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

Due to the penetration of renewable energy resources and load deviation, uncertainty handling is one of the main challenges for power system; therefore the need for accurate decision-making in a power system under the penetration of…

系统与控制 · 电气工程与系统科学 2019-11-26 Mohammad Hemmati , Behnam Mohammadi-Ivatloo , Alireza Soroudi

General-purpose agents require fine-grained controls and rich sensory inputs to perform a wide range of tasks. However, this complexity often leads to intractable decision-making. Traditionally, agents are provided with task-specific action…

机器学习 · 计算机科学 2024-06-25 Rafael Rodriguez-Sanchez , George Konidaris

We propose a distributionally robust return-risk model for Markov decision processes (MDPs) under risk and reward ambiguity. The proposed model optimizes the weighted average of mean and percentile performances, and it covers the…

机器学习 · 计算机科学 2023-01-05 Haolin Ruan , Zhi Chen , Chin Pang Ho

This paper deals with control of partially observable discrete-time stochastic systems. It introduces and studies Markov Decision Processes with Incomplete Information and with semi-uniform Feller transition probabilities. The important…

最优化与控制 · 数学 2022-08-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

We introduce Multi-Environment Markov Decision Processes (MEMDPs) which are MDPs with a set of probabilistic transition functions. The goal in a MEMDP is to synthesize a single controller with guaranteed performances against all…

计算机科学中的逻辑 · 计算机科学 2014-12-04 Jean-François Raskin , Ocan Sankur

Partially Observable Markov Decision Processes (POMDP) is a widely used model to represent the interaction of an environment and an agent, under state uncertainty. Since the agent does not observe the environment state, its uncertainty is…

人工智能 · 计算机科学 2021-04-16 Divya Grover , Christos Dimitrakakis

We examine a constrained Markov decision process under uncertain transition probabilities, with the uncertainty modeled as deviations from observed transition probabilities. We construct the uncertainty set associated with the deviations…

最优化与控制 · 数学 2025-04-15 V Varagapriya

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

人工智能 · 计算机科学 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

人工智能 · 计算机科学 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

We consider the problem of controlling a fully specified Markov decision process (MDP), also known as the planning problem, when the state space is very large and calculating the optimal policy is intractable. Instead, we pursue the more…

最优化与控制 · 数学 2019-01-09 Yasin Abbasi-Yadkori , Peter L. Bartlett , Xi Chen , Alan Malek