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Reinforcement Learning (RL) serves as a versatile framework for sequential decision-making, finding applications across diverse domains such as robotics, autonomous driving, recommendation systems, supply chain optimization, biology,…

机器学习 · 计算机科学 2024-08-26 Vaneet Aggarwal , Washim Uddin Mondal , Qinbo Bai

We study model-based reinforcement learning in an unknown finite communicating Markov decision process. We propose a simple algorithm that leverages a variance based confidence interval. We show that the proposed algorithm, UCRL-V, achieves…

机器学习 · 计算机科学 2019-12-12 Aristide Tossou , Debabrota Basu , Christos Dimitrakakis

We develop a model selection approach to tackle reinforcement learning with adversarial corruption in both transition and reward. For finite-horizon tabular MDPs, without prior knowledge on the total amount of corruption, our algorithm…

机器学习 · 计算机科学 2024-12-31 Chen-Yu Wei , Christoph Dann , Julian Zimmert

We consider an agent interacting with an environment in a single stream of actions, observations, and rewards, with no reset. This process is not assumed to be a Markov Decision Process (MDP). Rather, the agent has several representations…

机器学习 · 计算机科学 2013-03-19 Odalric-Ambrym Maillard , Phuong Nguyen , Ronald Ortner , Daniil Ryabko

Policy optimization methods are popular reinforcement learning algorithms in practice. Recent works have built theoretical foundation for them by proving $\sqrt{T}$ regret bounds even when the losses are adversarial. Such bounds are tight…

机器学习 · 计算机科学 2023-02-21 Christoph Dann , Chen-Yu Wei , Julian Zimmert

We describe an approximate dynamic programming (ADP) approach to compute approximations of the optimal strategies and of the minimal losses that can be guaranteed in discounted repeated games with vector-valued losses. Such games…

计算机科学与博弈论 · 计算机科学 2020-10-27 Vijay Kamble , Patrick Loiseau , Jean Walrand

This paper considers distributed online optimization with time-varying coupled inequality constraints. The global objective function is composed of local convex cost and regularization functions and the coupled constraint function is the…

最优化与控制 · 数学 2019-06-06 Xinlei Yi , Xiuxian Li , Lihua Xie , Karl H. Johansson

Dual-based proportional-integral-derivative (PID) controllers are often employed in practice to solve online allocation problems with global constraints, such as budget pacing in online advertising. However, controllers are used in a…

最优化与控制 · 数学 2023-12-21 Santiago R. Balseiro , Haihao Lu , Vahab Mirrokni , Balasubramanian Sivan

We propose Banker Online Mirror Descent (Banker-OMD), a novel framework generalizing the classical Online Mirror Descent (OMD) technique in the online learning literature. The Banker-OMD framework almost completely decouples feedback delay…

机器学习 · 计算机科学 2023-05-30 Jiatai Huang , Yan Dai , Longbo Huang

High-level penetration of intermittent renewable energy sources (RESs) has introduced significant uncertainties into modern power systems. In order to rapidly and economically respond to the fluctuations of power system operating state,…

系统与控制 · 电气工程与系统科学 2023-08-08 Pengfei Wu , Chen Chen , Dexiang Lai , Jian Zhong

This paper describes a new online convex optimization method which incorporates a family of candidate dynamical models and establishes novel tracking regret bounds that scale with the comparator's deviation from the best dynamical model in…

机器学习 · 统计学 2013-01-08 Eric C. Hall , Rebecca M. Willett

In this work, we consider a distributed online convex optimization problem, with time-varying (potentially adversarial) constraints. A set of nodes, jointly aim to minimize a global objective function, which is the sum of local convex…

最优化与控制 · 数学 2021-05-06 Pranay Sharma , Prashant Khanduri , Lixin Shen , Donald J. Bucci , Pramod K. Varshney

This work focuses on the setting of dynamic regret in the context of online learning with full information. In particular, we analyze regret bounds with respect to the temporal variability of the loss functions. By assuming that the…

机器学习 · 计算机科学 2021-02-16 Nicolò Campolongo , Francesco Orabona

Any reinforcement learning algorithm that applies to all Markov decision processes (MDPs) will suffer $\Omega(\sqrt{SAT})$ regret on some MDP, where $T$ is the elapsed time and $S$ and $A$ are the cardinalities of the state and action…

机器学习 · 统计学 2014-11-04 Ian Osband , Benjamin Van Roy

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

机器学习 · 计算机科学 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints , which are constraints that need to be satisfied when accumulated over a finite number of rounds T , but can…

机器学习 · 统计学 2015-12-24 Rodolphe Jenatton , Jim Huang , Cédric Archambeau

We consider model-based reinforcement learning in finite Markov De- cision Processes (MDPs), focussing on so-called optimistic strategies. In MDPs, optimism can be implemented by carrying out extended value it- erations under a constraint…

机器学习 · 计算机科学 2011-09-22 Sarah Filippi , Olivier Cappé , Aurélien Garivier

We provide several applications of Optimistic Mirror Descent, an online learning algorithm based on the idea of predictable sequences. First, we recover the Mirror Prox algorithm for offline optimization, prove an extension to Holder-smooth…

机器学习 · 计算机科学 2013-11-11 Alexander Rakhlin , Karthik Sridharan

We revisit the problem of solving two-player zero-sum games in the decentralized setting. We propose a simple algorithmic framework that simultaneously achieves the best rates for honest regret as well as adversarial regret, and in addition…

计算机科学与博弈论 · 计算机科学 2018-06-07 Ehsan Asadi Kangarshahi , Ya-Ping Hsieh , Mehmet Fatih Sahin , Volkan Cevher

Counterfactual regret minimization (CFR) is a family of algorithms for effectively solving imperfect-information games. It decomposes the total regret into counterfactual regrets, utilizing local regret minimization algorithms, such as…

机器学习 · 计算机科学 2024-05-15 Hang Xu , Kai Li , Bingyun Liu , Haobo Fu , Qiang Fu , Junliang Xing , Jian Cheng