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Robust Markov Decision Processes (MDPs) are a powerful framework for modeling sequential decision-making problems with model uncertainty. This paper proposes the first first-order framework for solving robust MDPs. Our algorithm interleaves…

最优化与控制 · 数学 2021-01-18 Julien Grand-Clément , Christian Kroer

We present a method to find an optimal policy with respect to a reward function for a discounted Markov decision process under general linear temporal logic (LTL) specifications. Previous work has either focused on maximizing a cumulative…

系统与控制 · 电气工程与系统科学 2021-03-24 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

We consider the expressivity of Markov rewards in sequential decision making under uncertainty. We view reward functions in Markov Decision Processes (MDPs) as a means to characterize desired behaviors of agents. Assuming desired behaviors…

人工智能 · 计算机科学 2023-07-25 Shuwa Miura

Safety is a fundamental challenge in reinforcement learning (RL), particularly in real-world applications such as autonomous driving, robotics, and healthcare. To address this, Constrained Markov Decision Processes (CMDPs) are commonly used…

机器学习 · 计算机科学 2026-02-18 Chang Liu , Yunfan Li , Lin F. Yang

A Markov decision process can be parameterized by a transition kernel and a reward function. Both play essential roles in the study of reinforcement learning as evidenced by their presence in the Bellman equations. In our inquiry of various…

机器学习 · 计算机科学 2023-09-04 Falcon Z. Dai

In this paper, we consider Markov Decision Processes (MDPs) with error states. Error states are those states entering which is undesirable or dangerous. We define the risk with respect to a policy as the probability of entering such a state…

机器学习 · 计算机科学 2011-09-13 P. Geibel , F. Wysotzki

We consider the problem of learning to optimize an unknown Markov decision process (MDP). We show that, if the MDP can be parameterized within some known function class, we can obtain regret bounds that scale with the dimensionality, rather…

机器学习 · 统计学 2014-11-04 Ian Osband , Benjamin Van Roy

We consider the parameter estimation problem of a probabilistic generative model prescribed using a natural exponential family of distributions. For this problem, the typical maximum likelihood estimator usually overfits under limited…

机器学习 · 统计学 2020-10-13 Viet Anh Nguyen , Xuhui Zhang , Jose Blanchet , Angelos Georghiou

Learning from demonstration has proven effective in robotics for acquiring natural behaviors, such as stylistic motions and lifelike agility, particularly when explicitly defining style-oriented reward functions is challenging. Synthesizing…

机器人学 · 计算机科学 2025-09-24 Kehan Wen , Chenhao Li , Junzhe He , Marco Hutter

To overcome the curse of dimensionality and curse of modeling in Dynamic Programming (DP) methods for solving classical Markov Decision Process (MDP) problems, Reinforcement Learning (RL) algorithms are popular. In this paper, we consider…

机器学习 · 计算机科学 2018-11-29 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

We present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

最优化与控制 · 数学 2024-12-20 Serdar Yüksel

We study entropy-regularized constrained Markov decision processes (CMDPs) under the soft-max parameterization, in which an agent aims to maximize the entropy-regularized value function while satisfying constraints on the expected total…

机器学习 · 计算机科学 2023-04-10 Donghao Ying , Yuhao Ding , Javad Lavaei

Many sequential decision problems involve optimizing one objective function while imposing constraints on other objectives. Constrained Partially Observable Markov Decision Processes (C-POMDP) model this case with transition uncertainty and…

In this paper, we use concepts from supervisory control theory of discrete event systems to propose a method to learn optimal control policies for a finite-state Markov Decision Process (MDP) in which (only) certain sequences of actions are…

机器学习 · 计算机科学 2022-01-04 Arun Raman , Keerthan Shagrithaya , Shalabh Bhatnagar

This paper considers the problem of finding near-optimal Markovian randomized (MR) policies for finite-state-action, infinite-horizon, constrained risk-sensitive Markov decision processes (CRSMDPs). Constraints are in the form of standard…

最优化与控制 · 数学 2023-03-14 Uday Kumar M , Sanjay P Bhat , Veeraruna Kavitha , Nandyala Hemachandra

This paper addresses a new interpretation of the traditional optimization method in reinforcement learning (RL) as optimization problems using reverse Kullback-Leibler (KL) divergence, and derives a new optimization method using forward KL…

机器学习 · 计算机科学 2022-04-25 Taisuke Kobayashi

We consider the problem of designing a control policy for an infinite-horizon discounted cost Markov decision process $\mathcal{M}$ when we only have access to an approximate model $\hat{\mathcal{M}}$. How well does an optimal policy…

最优化与控制 · 数学 2024-02-15 Berk Bozkurt , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

In this paper, we consider multi-dimensional maximal cost-bounded reachability probability over continuous-time Markov decision processes (CTMDPs). Our major contributions are as follows. Firstly, we derive an integral characterization…

系统与控制 · 计算机科学 2014-01-20 Hongfei Fu

In this paper, we present a method for reducing a regular, discrete-time Markov chain (DTMC) to another DTMC with a given, typically much smaller number of states. The cost of reduction is defined as the Kullback-Leibler divergence rate…

系统与控制 · 计算机科学 2017-05-08 Bernhard C. Geiger , Tatjana Petrov , Gernot Kubin , Heinz Koeppl

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

最优化与控制 · 数学 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay