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While Markov chain Monte Carlo methods (MCMC) provide a general framework to sample from a probability distribution defined up to normalization, they often suffer from slow convergence to the target distribution when the latter is highly…

机器学习 · 计算机科学 2023-07-06 Tristan Deleu , Yoshua Bengio

The Pseudo-Marginal (PM) algorithm is a popular Markov chain Monte Carlo (MCMC) method used to sample from a target distribution when its density is inaccessible, but can be estimated with a non-negative unbiased estimator. Its performance…

统计计算 · 统计学 2025-09-30 Sarra Abaoubida , Mylène Bédard , Florian Maire

In this paper we discuss policy iteration methods for approximate solution of a finite-state discounted Markov decision problem, with a focus on feature-based aggregation methods and their connection with deep reinforcement learning…

机器学习 · 计算机科学 2018-08-23 Dimitri P. Bertsekas

The online Markov decision process (MDP) is a generalization of the classical Markov decision process that incorporates changing reward functions. In this paper, we propose practical online MDP algorithms with policy iteration and…

机器学习 · 计算机科学 2015-10-16 Yao Ma , Hao Zhang , Masashi Sugiyama

Reinforcement learning considers the problem of finding policies that maximize an expected cumulative reward in a Markov decision process with unknown transition probabilities. In this paper we consider the problem of finding optimal…

机器学习 · 计算机科学 2020-10-19 Santiago Paternain , Juan Andres Bazerque , Alejandro Ribeiro

We introduce a new framework that performs decision-making in reinforcement learning (RL) as an iterative reasoning process. We model agent behavior as the steady-state distribution of a parameterized reasoning Markov chain (RMC), optimized…

机器学习 · 计算机科学 2022-10-14 Edoardo Cetin , Oya Celiktutan

Recent research has leveraged large language model multi-agent systems for complex problem-solving while trying to reduce the manual effort required to build them, driving the development of automated agent workflow optimization methods.…

计算与语言 · 计算机科学 2025-02-07 Yinjie Wang , Ling Yang , Guohao Li , Mengdi Wang , Bryon Aragam

We introduce learning and planning algorithms for average-reward MDPs, including 1) the first general proven-convergent off-policy model-free control algorithm without reference states, 2) the first proven-convergent off-policy model-free…

机器学习 · 计算机科学 2021-06-29 Yi Wan , Abhishek Naik , Richard S. Sutton

Formulating a real-world problem under the Reinforcement Learning framework involves non-trivial design choices, such as selecting a discount factor for the learning objective (discounted cumulative rewards), which articulates the planning…

人工智能 · 计算机科学 2025-02-19 Randy Lefebvre , Audrey Durand

In this work we investigate an importance sampling approach for evaluating policies for a structurally time-varying factored Markov decision process (MDP), i.e. the policy's value is estimated with a high-probability confidence interval. In…

系统与控制 · 电气工程与系统科学 2023-02-07 Carmel Fiscko , Soummya Kar , Bruno Sinopoli

Recent advances in reinforcement learning for foundation models, such as Group Relative Policy Optimization (GRPO), have significantly improved the performance of foundation models on reasoning tasks. Notably, the advantage function serves…

We propose a generic Markov Chain Monte Carlo (MCMC) algorithm to speed up computations for datasets with many observations. A key feature of our approach is the use of the highly efficient difference estimator from the survey sampling…

统计方法学 · 统计学 2017-08-03 Matias Quiroz , Mattias Villani , Robert Kohn

We consider the constrained optimal control problem for the gradual-impulsive CTMDP model with the performance criteria being the expected total undiscounted costs (from the running cost and the cost from each time an impulse being…

最优化与控制 · 数学 2022-04-07 Alexey Piunovskiy , Yi Zhang

Backpropagation algorithm has been widely used as a mainstream learning procedure for neural networks in the past decade, and has played a significant role in the development of deep learning. However, there exist some limitations…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Gongpei Zhao , Tao Wang , Yidong Li , Yi Jin , Congyan Lang , Haibin Ling

We consider reinforcement learning in changing Markov Decision Processes where both the state-transition probabilities and the reward functions may vary over time. For this problem setting, we propose an algorithm using a sliding window…

机器学习 · 计算机科学 2018-05-28 Pratik Gajane , Ronald Ortner , Peter Auer

Policy gradient methods are powerful reinforcement learning algorithms and have been demonstrated to solve many complex tasks. However, these methods are also data-inefficient, afflicted with high variance gradient estimates, and frequently…

机器学习 · 计算机科学 2019-05-15 Andreas Doerr , Michael Volpp , Marc Toussaint , Sebastian Trimpe , Christian Daniel

Temporal difference (TD) learning is a fundamental algorithm for estimating value functions in reinforcement learning. Recent finite-time analyses of TD with linear function approximation quantify its theoretical convergence rate. However,…

机器学习 · 计算机科学 2026-03-04 Yunxiang Li , Mark Schmidt , Reza Babanezhad , Sharan Vaswani

Modeling long horizon marked event sequences is a fundamental challenge in many real-world applications, including healthcare, finance, and user behavior modeling. Existing neural temporal point process models are typically autoregressive,…

机器学习 · 计算机科学 2025-08-08 Xiao Shou

Flow matching has emerged as a competitive framework for learning high-quality generative policies in robotics; however, we find that generalisation arises and saturates early along the flow trajectory, in accordance with recent findings in…

机器人学 · 计算机科学 2026-03-03 Zidong Chen , Zihao Guo , Peng Wang , ThankGod Itua Egbe , Yan Lyu , Chenghao Qian

A divide-and-conquer approach to analyzing Markov chains (MCs) is not utilized as widely as it could be, despite its potential benefits. One primary reason for this is the fact that most MC decomposition approaches involve a complex and…

概率论 · 数学 2021-02-25 Katsunobu Sasanuma , Robert Hampshire , Alan Scheller-Wolf