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In industrial applications of adaptive optimal control often multiple contrary objectives have to be considered. The weights (relative importance) of the objectives are often not known during the design of the control and can change with…

Systems and Control · Computer Science 2019-01-16 Johannes Dornheim , Norbert Link

This paper analyzes reinforcement learning (RL) algorithms for Markov decision processes (MDPs) under the average-reward criterion. We focus on Q-learning algorithms based on relative value iteration (RVI), which are model-free stochastic…

Machine Learning · Computer Science 2024-08-30 Yi Wan , Huizhen Yu , Richard S. Sutton

Constrained Markov decision processes (CMDPs) are a common way to model safety constraints in reinforcement learning. State-of-the-art methods for efficiently solving CMDPs are based on primal-dual algorithms. For these algorithms, all…

Machine Learning · Computer Science 2024-07-22 Adrian Müller , Pragnya Alatur , Volkan Cevher , Giorgia Ramponi , Niao He

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…

Machine Learning · Computer Science 2026-02-18 Chang Liu , Yunfan Li , Lin F. Yang

We propose a new reinforcement learning algorithm for partially observable Markov decision processes (POMDP) based on spectral decomposition methods. While spectral methods have been previously employed for consistent learning of (passive)…

Artificial Intelligence · Computer Science 2017-06-20 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such…

Machine Learning · Computer Science 2020-05-07 Mohak Bhardwaj , Ankur Handa , Dieter Fox , Byron Boots

This paper is concerned with the sample efficiency of reinforcement learning, assuming access to a generative model (or simulator). We first consider $\gamma$-discounted infinite-horizon Markov decision processes (MDPs) with state space…

Machine Learning · Computer Science 2025-03-18 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

Meta-learning models have two objectives. First, they need to be able to make predictions over a range of task distributions while utilizing only a small amount of training data. Second, they also need to adapt to new novel unseen tasks at…

Machine Learning · Computer Science 2021-01-26 Edwin Pan , Pankaj Rajak , Shubham Shrivastava

Designing sample-efficient and computationally feasible reinforcement learning (RL) algorithms is particularly challenging in environments with large or infinite state and action spaces. In this paper, we advance this effort by presenting…

Machine Learning · Computer Science 2024-10-04 Zakaria Mhammedi

We report a previously unidentified issue with model-free, value-based approaches to multiobjective reinforcement learning in the context of environments with stochastic state transitions. An example multiobjective Markov Decision Process…

Machine Learning · Computer Science 2021-03-16 Peter Vamplew , Cameron Foale , Richard Dazeley

In reinforcement learning, the objective is almost always defined as a \emph{cumulative} function over the rewards along the process. However, there are many optimal control and reinforcement learning problems in various application fields,…

Machine Learning · Computer Science 2024-04-15 Wei Cui , Wei Yu

Much of reinforcement learning theory is built on top of oracles that are computationally hard to implement. Specifically for learning near-optimal policies in Partially Observable Markov Decision Processes (POMDPs), existing algorithms…

Machine Learning · Computer Science 2022-06-08 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

Recent model-free reinforcement learning algorithms have proposed incorporating learned dynamics models as a source of additional data with the intention of reducing sample complexity. Such methods hold the promise of incorporating imagined…

Machine Learning · Computer Science 2018-03-02 Vladimir Feinberg , Alvin Wan , Ion Stoica , Michael I. Jordan , Joseph E. Gonzalez , Sergey Levine

In this paper, a multi-objective model-following control problem is solved using an observer-based adaptive learning scheme. The overall goal is to regulate the model-following error dynamics along with optimizing the dynamic variables of a…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mohammed I. Abouheaf , Kyriakos G. Vamvoudakis , Mohammad A. Mayyas , Hashim A. Hashim

Strong worst-case performance bounds for episodic reinforcement learning exist but fortunately in practice RL algorithms perform much better than such bounds would predict. Algorithms and theory that provide strong problem-dependent bounds…

Machine Learning · Computer Science 2019-11-05 Andrea Zanette , Emma Brunskill

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

Trading and Market Microstructure · Quantitative Finance 2025-11-04 Yadh Hafsi , Edoardo Vittori

We consider the problem of learning-based man-in-the-middle (MITM) attacks in cyber-physical systems (CPS), and extend our previously proposed Bellman Deviation Detection (BDD) framework for model-free reinforcement learning (RL). We refine…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Rishi Rani , Massimo Franceschetti

Informed and robust decision making in the face of uncertainty is critical for robots that perform physical tasks alongside people. We formulate this as Bayesian Reinforcement Learning over latent Markov Decision Processes (MDPs). While…

Robotics · Computer Science 2020-02-11 Gilwoo Lee , Brian Hou , Sanjiban Choudhury , Siddhartha S. Srinivasa

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

Optimization and Control · Mathematics 2025-01-03 Ali Devran Kara , Serdar Yuksel

We propose the first model-free algorithm that achieves low regret performance for decentralized learning in two-player zero-sum tabular stochastic games with infinite-horizon average-reward objective. In decentralized learning, the…

Machine Learning · Computer Science 2023-01-16 Romain Cravic , Nicolas Gast , Bruno Gaujal