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A popular perspective in Reinforcement learning (RL) casts the problem as probabilistic inference on a graphical model of the Markov decision process (MDP). The core object of study is the probability of each state-action pair being visited…

Machine Learning · Computer Science 2023-11-23 Jean Tarbouriech , Tor Lattimore , Brendan O'Donoghue

The problem of pure exploration in Markov decision processes has been cast as maximizing the entropy over the state distribution induced by the agent's policy, an objective that has been extensively studied. However, little attention has…

Machine Learning · Computer Science 2024-06-19 Riccardo Zamboni , Duilio Cirino , Marcello Restelli , Mirco Mutti

We consider offline reinforcement learning (RL) in $H$-horizon Markov decision processes (MDPs) under the linear $q^\pi$-realizability assumption, where the action-value function of every policy is linear with respect to a given…

Machine Learning · Computer Science 2024-05-28 Volodymyr Tkachuk , Gellért Weisz , Csaba Szepesvári

To achieve autonomy in complex real-world exploration missions, we consider deployment strategies for a team of robots with heterogeneous autonomy capabilities. In this work, we formulate a multi-robot exploration mission and compute an…

We consider a robust approach to address uncertainty in model parameters in Markov Decision Processes (MDPs), which are widely used to model dynamic optimization in many applications. Most prior works consider the case where the uncertainty…

Optimization and Control · Mathematics 2021-09-02 Vineet Goyal , Julien Grand-Clément

Reciprocating interactions represent a central feature of all human exchanges. They have been the target of various recent experiments, with healthy participants and psychiatric populations engaging as dyads in multi-round exchanges such as…

Machine Learning · Statistics 2015-06-23 Andreas Hula , P. Read Montague , Peter Dayan

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

Artificial Intelligence · Computer Science 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

Advances in mobile computing technologies have made it possible to monitor and apply data-driven interventions across complex systems in real time. Markov decision processes (MDPs) are the primary model for sequential decision problems with…

Methodology · Statistics 2018-03-20 Longshaokan Wang , Eric B. Laber , Katie Witkiewitz

Exogenous MDPs (Exo-MDPs) capture sequential decision-making where uncertainty comes solely from exogenous inputs that evolve independently of the learner's actions. This structure is especially common in operations research applications…

Machine Learning · Computer Science 2026-01-29 Hao Liang , Jiayu Cheng , Sean R. Sinclair , Yali Du

We consider a setting in which the objective is to learn to navigate in a controlled Markov process (CMP) where transition probabilities may abruptly change. For this setting, we propose a performance measure called exploration steps which…

Machine Learning · Computer Science 2019-10-21 Pratik Gajane , Ronald Ortner , Peter Auer , Csaba Szepesvari

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

Machine Learning · Statistics 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

In deep reinforcement learning (RL) research, there has been a concerted effort to design more efficient and productive exploration methods while solving sparse-reward problems. These exploration methods often share common principles (e.g.,…

Machine Learning · Computer Science 2024-04-04 Jonathan C. Balloch , Rishav Bhagat , Geigh Zollicoffer , Ruoran Jia , Julia Kim , Mark O. Riedl

An optimal feedback controller for a given Markov decision process (MDP) can in principle be synthesized by value or policy iteration. However, if the system dynamics and the reward function are unknown, a learning agent must discover an…

Machine Learning · Computer Science 2019-07-19 Boris Belousov , Jan Peters

Safe exploration is crucial for the real-world application of reinforcement learning (RL). Previous works consider the safe exploration problem as Constrained Markov Decision Process (CMDP), where the policies are being optimized under…

Machine Learning · Computer Science 2021-07-12 Hao Sun , Ziping Xu , Meng Fang , Zhenghao Peng , Jiadong Guo , Bo Dai , Bolei Zhou

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

State space models (SSMs) have been shown to possess the theoretical capacity to model both star-free sequential tasks and bounded hierarchical structures Sarrof et al. (2024). However, formal expressivity results do not guarantee that…

Machine Learning · Computer Science 2026-04-08 Hongxu Zhou

A state space representation of an environment is a classic and yet powerful tool used by many autonomous robotic systems for efficient and often optimal solution planning. However, designing these representations with high performance is…

Machine Learning · Computer Science 2020-12-23 Andrew Wilhelm , Aaron Wilhelm , Garrett Fosdick

We study the problem of controlling a partially observed Markov decision process (POMDP) to either aid or hinder the estimation of its state trajectory. We encode the estimation objectives via the smoother entropy, which is the conditional…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Timothy L. Molloy , Girish N. Nair

We study the design of sample-efficient algorithms for reinforcement learning in the presence of rich, high-dimensional observations, formalized via the Block MDP problem. Existing algorithms suffer from either 1) computational…

Machine Learning · Computer Science 2023-04-13 Zakaria Mhammedi , Dylan J. Foster , Alexander Rakhlin
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