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Robust Markov Decision Processes (RMDPs) have received significant research interest, offering an alternative to standard Markov Decision Processes (MDPs) that often assume fixed transition probabilities. RMDPs address this by optimizing…

机器学习 · 计算机科学 2024-05-06 Xinyi Ni , Lifeng Lai

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

系统与控制 · 计算机科学 2016-11-17 Tong Zhou

Designing efficient learning algorithms with complexity guarantees for Markov decision processes (MDPs) with large or continuous state and action spaces remains a fundamental challenge. We address this challenge for entropy-regularized MDPs…

机器学习 · 计算机科学 2025-06-05 Matthieu Meunier , Christoph Reisinger , Yufei Zhang

Markov Decision Processes (MDPs), the mathematical framework underlying most algorithms in Reinforcement Learning (RL), are often used in a way that wrongfully assumes that the state of an agent's environment does not change during action…

机器学习 · 计算机科学 2019-12-13 Simon Ramstedt , Christopher Pal

Inspired by the developments in deep generative models, we propose a model-based RL approach, coined Reinforced Deep Markov Model (RDMM), designed to integrate desirable properties of a reinforcement learning algorithm acting as an…

交易与市场微观结构 · 定量金融 2020-11-10 Tadeu A. Ferreira

In this work, we consider an online robust Markov Decision Process (MDP) where we have the information of finitely many prototypes of the underlying transition kernel. We consider an adaptively updated ambiguity set of the prototypes and…

机器学习 · 计算机科学 2024-12-20 Shuo Sun , Meng Qi , Zuo-Jun Max Shen

Many recent successful (deep) reinforcement learning algorithms make use of regularization, generally based on entropy or Kullback-Leibler divergence. We propose a general theory of regularized Markov Decision Processes that generalizes…

机器学习 · 计算机科学 2019-06-05 Matthieu Geist , Bruno Scherrer , Olivier Pietquin

Learning and optimal control under robust Markov decision processes (MDPs) have received increasing attention, yet most existing theory, algorithms, and applications focus on finite-horizon or discounted models. Long-run average-reward…

最优化与控制 · 数学 2025-12-12 Shengbo Wang , Nian Si

Three major challenges in reinforcement learning are the complex dynamical systems with large state spaces, the costly data acquisition processes, and the deviation of real-world dynamics from the training environment deployment. To…

机器学习 · 计算机科学 2024-06-04 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Yifan Hu , Andreas Krause , Ilija Bogunovic

The linear Markov Decision Process (MDP) framework offers a principled foundation for reinforcement learning (RL) with strong theoretical guarantees and sample efficiency. However, its restrictive assumption-that both transition dynamics…

机器学习 · 统计学 2025-06-03 Sinian Zhang , Kaicheng Zhang , Ziping Xu , Tianxi Cai , Doudou Zhou

Because reinforcement learning suffers from a lack of scalability, online value (and Q-) function approximation has received increasing interest this last decade. This contribution introduces a novel approximation scheme, namely the Kalman…

机器学习 · 计算机科学 2014-06-13 Matthieu Geist , Olivier Pietquin

In many real-world settings, reinforcement learning systems suffer performance degradation when the environment encountered at deployment differs from that observed during training. Distributionally robust reinforcement learning (DR-RL)…

机器学习 · 计算机科学 2026-03-05 Debamita Ghosh , George K. Atia , Yue Wang

Robust Markov decision processes (MDPs) have attracted significant interest due to their ability to protect MDPs from poor out-of-sample performance in the presence of ambiguity. In contrast to classical MDPs, which account for…

最优化与控制 · 数学 2026-02-06 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

Regularized Markov Decision Processes serve as models of sequential decision making under uncertainty wherein the decision maker has limited information processing capacity and/or aversion to model ambiguity. With functional approximation,…

人工智能 · 计算机科学 2025-02-11 Jiachen Xi , Alfredo Garcia , Petar Momcilovic

Motivated by many application problems, we consider Markov decision processes (MDPs) with a general loss function and unknown parameters. To mitigate the epistemic uncertainty associated with unknown parameters, we take a Bayesian approach…

机器学习 · 计算机科学 2025-10-02 Xiaoshuang Wang , Yifan Lin , Enlu Zhou

In robotics, designing robust algorithms in the face of estimation uncertainty is a challenging task. Indeed, controllers often do not consider the estimation uncertainty and only rely on the most likely estimated state. Consequently,…

机器人学 · 计算机科学 2023-05-22 Armand Jordana , Avadesh Meduri , Etienne Arlaud , Justin Carpentier , Ludovic Righetti

Leveraging more test-time computation has proven to be an effective way to boost the reasoning capabilities of large language models (LLMs). Among various methods, the verify-and-improve paradigm stands out for enabling dynamic solution…

机器学习 · 计算机科学 2025-06-11 Yurun Yuan , Tengyang Xie

Reinforcement Learning is a powerful framework for training agents to navigate different situations, but it is susceptible to changes in environmental dynamics. However, solving Markov Decision Processes that are robust to changes is…

机器学习 · 计算机科学 2024-06-21 Etash Kumar Guha

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

最优化与控制 · 数学 2025-11-17 Rene Carmona , Mathieu Lauriere

Routing problems are a class of combinatorial problems with many practical applications. Recently, end-to-end deep learning methods have been proposed to learn approximate solution heuristics for such problems. In contrast, classical…

机器学习 · 计算机科学 2021-12-06 Wouter Kool , Herke van Hoof , Joaquim Gromicho , Max Welling