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We present an algorithm based on the \emph{Optimism in the Face of Uncertainty} (OFU) principle which is able to learn Reinforcement Learning (RL) modeled by Markov decision process (MDP) with finite state-action space efficiently. By…

机器学习 · 计算机科学 2020-01-01 Zihan Zhang , Xiangyang Ji

This paper considers the problem of distributed bandit online convex optimization with time-varying coupled inequality constraints. This problem can be defined as a repeated game between a group of learners and an adversary. The learners…

最优化与控制 · 数学 2019-12-10 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Karl H. Johansson , Tianyou Chai

We address the online linear optimization problem with bandit feedback. Our contribution is twofold. First, we provide an algorithm (based on exponential weights) with a regret of order $\sqrt{d n \log N}$ for any finite action set with $N$…

机器学习 · 计算机科学 2012-02-15 Sébastien Bubeck , Nicolò Cesa-Bianchi , Sham M. Kakade

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

机器学习 · 计算机科学 2017-09-12 Dan Garber

The dueling bandit is a learning framework wherein the feedback information in the learning process is restricted to a noisy comparison between a pair of actions. In this research, we address a dueling bandit problem based on a cost…

机器学习 · 统计学 2017-12-13 Wataru Kumagai

Regret has been widely adopted as the metric of choice for evaluating the performance of online optimization algorithms for distributed, multi-agent systems. However, data/model variations associated with agents can significantly impact…

机器学习 · 计算机科学 2022-09-22 Zhanhong Jiang , Aditya Balu , Xian Yeow Lee , Young M. Lee , Chinmay Hegde , Soumik Sarkar

We study online convex optimization under stochastic sub-gradient observation faults, where we introduce adaptive algorithms with minimax optimal regret guarantees. We specifically study scenarios where our sub-gradient observations can be…

机器学习 · 计算机科学 2019-04-23 Hakan Gokcesu , Suleyman S. Kozat

We consider the problem of the Zinkevich (2003)-style dynamic regret minimization in online learning with exp-concave losses. We show that whenever improper learning is allowed, a Strongly Adaptive online learner achieves the dynamic regret…

机器学习 · 计算机科学 2021-07-06 Dheeraj Baby , Yu-Xiang Wang

We consider the problem of online combinatorial optimization under semi-bandit feedback, where a learner has to repeatedly pick actions from a combinatorial decision set in order to minimize the total losses associated with its decisions.…

机器学习 · 计算机科学 2015-06-11 Gergely Neu

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

机器学习 · 计算机科学 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

This paper presents a new framework for analyzing and designing no-regret algorithms for dynamic (possibly adversarial) systems. The proposed framework generalizes the popular online convex optimization framework and extends it to its…

机器学习 · 计算机科学 2016-08-30 Ian Gemp , Sridhar Mahadevan

We explore the use of expert-guided bandit learning, which we refer to as online mixture-of-experts (OMoE). In this setting, given a context, a candidate committee of experts must determine how to aggregate their outputs to achieve optimal…

机器学习 · 计算机科学 2025-11-18 Larkin Liu , Jalal Etesami

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the optimality of these results is only guaranteed in a…

机器学习 · 计算机科学 2025-04-30 Zihan Zhang , Yuxin Chen , Jason D. Lee , Simon S. Du

An online decision-making problem is a learning problem in which a player repeatedly makes decisions in order to minimize the long-term loss. These problems that emerge in applications often have nonlinear combinatorial objective functions,…

机器学习 · 计算机科学 2024-04-29 Ken Yokoyama , Shinji Ito , Tatsuya Matsuoka , Kei Kimura , Makoto Yokoo

To deal with changing environments, a new performance measure -- adaptive regret, defined as the maximum static regret over any interval, was proposed in online learning. Under the setting of online convex optimization, several algorithms…

机器学习 · 计算机科学 2021-05-17 Lijun Zhang , Guanghui Wang , Wei-Wei Tu , Zhi-Hua Zhou

Bandit convex optimization (BCO) is a general framework for online decision making under uncertainty. While tight regret bounds for general convex losses have been established, existing algorithms achieving these bounds have prohibitive…

机器学习 · 计算机科学 2024-10-04 Arun Suggala , Y. Jennifer Sun , Praneeth Netrapalli , Elad Hazan

In this paper, we consider a distributed online convex optimization problem over a time-varying multi-agent network. The goal of this network is to minimize a global loss function through local computation and communication with neighbors.…

最优化与控制 · 数学 2024-06-17 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

最优化与控制 · 数学 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

机器学习 · 计算机科学 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

In this paper, we propose an improved online confidence bound for multinomial logistic (MNL) models and apply this result to MNL bandits, achieving variance-dependent optimal regret. Recently, Lee & Oh (2024) established an online…

机器学习 · 统计学 2025-06-17 Joongkyu Lee , Min-hwan Oh