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We study reward-free reinforcement learning (RL) under general non-linear function approximation, and establish sample efficiency and hardness results under various standard structural assumptions. On the positive side, we propose the…

Machine Learning · Computer Science 2022-10-25 Jinglin Chen , Aditya Modi , Akshay Krishnamurthy , Nan Jiang , Alekh Agarwal

Learning models of the environment from pure interaction is often considered an essential component of building lifelong reinforcement learning agents. However, the common practice in model-based reinforcement learning is to learn models…

Machine Learning · Computer Science 2023-06-13 Safa Alver , Doina Precup

Deep latent variable models have achieved significant empirical successes in model-based reinforcement learning (RL) due to their expressiveness in modeling complex transition dynamics. On the other hand, it remains unclear theoretically…

Machine Learning · Computer Science 2023-03-08 Tongzheng Ren , Chenjun Xiao , Tianjun Zhang , Na Li , Zhaoran Wang , Sujay Sanghavi , Dale Schuurmans , Bo Dai

Network Markov Decision Processes (MDPs), a popular model for multi-agent control, pose a significant challenge to efficient learning due to the exponential growth of the global state-action space with the number of agents. In this work,…

Multiagent Systems · Computer Science 2024-11-19 Zhaolin Ren , Runyu Zhang , Bo Dai , Na Li

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

We investigate model-based reinforcement learning in contextual Markov decision processes (C-MDPs) in which the context is unobserved and induces confounding in the offline dataset. In such settings, conventional model-learning methods are…

Machine Learning · Computer Science 2025-12-09 Nishanth Venkatesh , Andreas A. Malikopoulos

Low-rank matrices play a fundamental role in modeling and computational methods for signal processing and machine learning. In many applications where low-rank matrices arise, these matrices cannot be fully sampled or directly observed, and…

Information Theory · Computer Science 2016-05-25 Mark A. Davenport , Justin Romberg

Equation-free modeling aims at extracting low-dimensional macroscopic dynamics from complex high-dimensional systems that govern the evolution of microscopic states. This algorithm relies on lifting and restriction operators that map…

Dynamical Systems · Mathematics 2022-01-03 Tracy Chin , Jacob Ruth , Clayton Sanford , Rebecca Santorella , Paul Carter , Bjorn Sandstede

Distributionally Robust Reinforcement Learning (DR-RL) aims to derive a policy optimizing the worst-case performance within a predefined uncertainty set. Despite extensive research, previous DR-RL algorithms have predominantly favored…

Machine Learning · Computer Science 2024-06-26 Yudan Wang , Shaofeng Zou , Yue Wang

Many reinforcement learning (RL) environments in practice feature enormous state spaces that may be described compactly by a "factored" structure, that may be modeled by Factored Markov Decision Processes (FMDPs). We present the first…

Machine Learning · Computer Science 2022-03-08 Zihao Deng , Siddartha Devic , Brendan Juba

This paper studies the fundamental limits of reinforcement learning (RL) in the challenging \emph{partially observable} setting. While it is well-established that learning in Partially Observable Markov Decision Processes (POMDPs) requires…

Machine Learning · Computer Science 2023-02-03 Fan Chen , Huan Wang , Caiming Xiong , Song Mei , Yu Bai

The importance of hierarchically structured representations for tractable planning has long been acknowledged. However, the questions of how people discover such abstractions and how to define a set of optimal abstractions remain open. This…

Artificial Intelligence · Computer Science 2018-07-20 Sophia Sanborn , David D. Bourgin , Michael Chang , Thomas L. Griffiths

We address reinforcement learning problems with finite state and action spaces where the underlying MDP has some known structure that could be potentially exploited to minimize the exploration rates of suboptimal (state, action) pairs. For…

Machine Learning · Computer Science 2018-11-30 Jungseul Ok , Alexandre Proutiere , Damianos Tranos

We consider reinforcement learning (RL) in episodic Markov decision processes (MDPs) with linear function approximation under drifting environment. Specifically, both the reward and state transition functions can evolve over time but their…

Machine Learning · Computer Science 2024-04-16 Huozhi Zhou , Jinglin Chen , Lav R. Varshney , Ashish Jagmohan

Methods of deep machine learning enable to to reuse low-level representations efficiently for generating more abstract high-level representations. Originally, deep learning has been applied passively (e.g., for classification purposes).…

Machine Learning · Computer Science 2014-12-22 Mark Wernsdorfer , Ute Schmid

We study multi-agent general-sum Markov games with nonlinear function approximation. We focus on low-rank Markov games whose transition matrix admits a hidden low-rank structure on top of an unknown non-linear representation. The goal is to…

Machine Learning · Computer Science 2022-11-01 Chengzhuo Ni , Yuda Song , Xuezhou Zhang , Chi Jin , Mengdi Wang

Hybrid action models are widely considered an effective approach to reinforcement learning (RL) modeling. The current mainstream method is to train agents under Parameterized Action Markov Decision Processes (PAMDPs), which performs well in…

Machine Learning · Computer Science 2025-01-07 Zijian Wang , Bin Wang , Mingwen Shao , Hongbo Dou , Boxiang Tao

Direct policy gradient methods for reinforcement learning are a successful approach for a variety of reasons: they are model free, they directly optimize the performance metric of interest, and they allow for richly parameterized policies.…

Machine Learning · Computer Science 2020-08-14 Alekh Agarwal , Mikael Henaff , Sham Kakade , Wen Sun

Training sophisticated agents for optimal decision-making under uncertainty has been key to the rapid development of modern autonomous systems across fields. Notably, model-free reinforcement learning (RL) has enabled decision-making agents…

Machine Learning · Computer Science 2025-07-21 Thomas Banker , Ali Mesbah

We introduce the forward-backward (FB) representation of the dynamics of a reward-free Markov decision process. It provides explicit near-optimal policies for any reward specified a posteriori. During an unsupervised phase, we use…

Machine Learning · Computer Science 2021-10-12 Ahmed Touati , Yann Ollivier
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