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We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose…

Machine Learning · Computer Science 2015-02-03 Huan Wang , John Wright , Daniel Spielman

Sample-efficient offline reinforcement learning (RL) with linear function approximation has recently been studied extensively. Much of prior work has yielded the minimax-optimal bound of $\tilde{\mathcal{O}}(\frac{1}{\sqrt{K}})$, with $K$…

Machine Learning · Computer Science 2023-01-30 Thanh Nguyen-Tang , Ming Yin , Sunil Gupta , Svetha Venkatesh , Raman Arora

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

While Bayesian-based exploration often demonstrates superior empirical performance compared to bonus-based methods in model-based reinforcement learning (RL), its theoretical understanding remains limited for model-free settings. Existing…

Machine Learning · Computer Science 2026-02-05 He Wang , Xingyu Xu , Yuejie Chi

The partial monitoring (PM) framework provides a theoretical formulation of sequential learning problems with incomplete feedback. On each round, a learning agent plays an action while the environment simultaneously chooses an outcome. The…

Machine Learning · Computer Science 2024-05-17 Maxime Heuillet , Ola Ahmad , Audrey Durand

Gibbs sampling is a Markov Chain Monte Carlo (MCMC) method often used in Bayesian learning. MCMC methods can be difficult to deploy on parallel and distributed systems due to their inherently sequential nature. We study asynchronous Gibbs…

Computation · Statistics 2020-03-03 Alexander Terenin , Daniel Simpson , David Draper

This paper studies accelerated algorithms for Q-learning. We propose an acceleration scheme by incorporating the historical iterates of the Q-function. The idea is conceptually inspired by the momentum-based acceleration methods in the…

Systems and Control · Electrical Eng. & Systems 2019-10-28 Bowen Weng , Lin Zhao , Huaqing Xiong , Wei Zhang

Analyzing the Markov decision process (MDP) with continuous state spaces is generally challenging. A recent interesting work \cite{shah2018q} solves MDP with bounded continuous state space by a nearest neighbor $Q$ learning approach, which…

Machine Learning · Computer Science 2024-06-18 Puning Zhao , Lifeng Lai

With the development of artificial intelligence technology, quantitative trading systems represented by reinforcement learning have emerged in the stock trading market. The authors combined the deep Q network in reinforcement learning with…

Statistical Finance · Quantitative Finance 2021-12-01 Yizhuo Li , Peng Zhou , Fangyi Li , Xiao Yang

$Q$-learning is one of the most fundamental reinforcement learning algorithms. It is widely believed that $Q$-learning with linear function approximation (i.e., linear $Q$-learning) suffers from possible divergence until the recent work…

Machine Learning · Computer Science 2025-05-28 Xinyu Liu , Zixuan Xie , Shangtong Zhang

Reinforcement learning algorithms often require finiteness of state and action spaces in Markov decision processes (MDPs) (also called controlled Markov chains) and various efforts have been made in the literature towards the applicability…

Machine Learning · Computer Science 2023-09-08 Ali Devran Kara , Naci Saldi , Serdar Yüksel

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

We investigate the challenges of applying model-free reinforcement learning algorithms, like online Q-learning, to infinite state space Markov Decision Processes (MDPs). We first introduce the notion of Local Learning Processes (LLPs),…

Probability · Mathematics 2025-11-03 Urtzi Ayesta , Sergey Foss , Matthieu Jonckheere , Vittorio Puricelli

Self-supervised representation learning is a fundamental problem in computer vision with many useful applications (e.g., image search, instance level recognition, copy detection). In this paper we present a new contrastive self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 David Wu , Yunnan Wu

Adversarial machine learning concerns situations in which learners face attacks from active adversaries. Such scenarios arise in applications such as spam email filtering, malware detection and fake-image generation, where security methods…

Machine Learning · Computer Science 2024-10-29 David Benfield , Stefano Coniglio , Martin Kunc , Phan Tu Vuong , Alain Zemkoho

Motivated by engineering applications such as resource allocation in networks and inventory systems, we consider average-reward Reinforcement Learning with unbounded state space and reward function. Recent works studied this problem in the…

Machine Learning · Computer Science 2025-11-10 Shaan Ul Haque , Siva Theja Maguluri

The objective in this paper is to obtain fast converging reinforcement learning algorithms to approximate solutions to the problem of discounted cost optimal stopping in an irreducible, uniformly ergodic Markov chain, evolving on a compact…

Systems and Control · Computer Science 2019-10-01 Shuhang Chen , Adithya M. Devraj , Ana Bušić , Sean P. Meyn

In this paper, we study distributionally robust offline reinforcement learning (robust offline RL), which seeks to find an optimal policy purely from an offline dataset that can perform well in perturbed environments. In specific, we…

Machine Learning · Computer Science 2023-08-23 Jose Blanchet , Miao Lu , Tong Zhang , Han Zhong

In this work, a new class of stochastic gradient algorithm is developed based on $q$-calculus. Unlike the existing $q$-LMS algorithm, the proposed approach fully utilizes the concept of $q$-calculus by incorporating time-varying $q$…

Optimization and Control · Mathematics 2018-01-03 Shujaat Khan , Alishba Sadiq , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

Incorporating novelties into deep learning systems remains a challenging problem. Introducing new information to a machine learning system can interfere with previously stored data and potentially alter the global model paradigm, especially…

Machine Learning · Computer Science 2024-12-09 Alessandro Londei , Matteo Benati , Denise Lanzieri , Vittorio Loreto
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