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In this paper, we study the problem of regret minimization for episodic Reinforcement Learning (RL) both in the model-free and the model-based setting. We focus on learning with general function classes and general model classes, and we…

机器学习 · 计算机科学 2022-03-04 Grigoris Velegkas , Zhuoran Yang , Amin Karbasi

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

Optimising queries in real-world situations under imperfect conditions is still a problem that has not been fully solved. We consider finding the optimal order in which to execute a given set of selection operators under partial ignorance…

数据库 · 计算机科学 2015-07-30 Khaled H. Alyoubi , Sven Helmer , Peter T. Wood

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

机器学习 · 计算机科学 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-05-21 Jiashuo Jiang

Bandit algorithms have been predominantly analyzed in the convex setting with function-value based stationary regret as the performance measure. In this paper, motivated by online reinforcement learning problems, we propose and analyze…

机器学习 · 统计学 2019-09-12 Abhishek Roy , Krishnakumar Balasubramanian , Saeed Ghadimi , Prasant Mohapatra

We investigate online convex optimization in changing environments, and choose the adaptive regret as the performance measure. The goal is to achieve a small regret over every interval so that the comparator is allowed to change over time.…

机器学习 · 计算机科学 2019-06-18 Lijun Zhang , Tie-Yan Liu , Zhi-Hua Zhou

We study the Stochastic Shortest Path (SSP) problem with a linear mixture transition kernel, where an agent repeatedly interacts with a stochastic environment and seeks to reach certain goal state while minimizing the cumulative cost.…

机器学习 · 计算机科学 2024-02-15 Qiwei Di , Jiafan He , Dongruo Zhou , Quanquan Gu

This paper considers the distributed online convex-concave optimization with constraint sets over a multiagent network, in which each agent autonomously generates a series of decision pairs through a designable mechanism to cooperatively…

最优化与控制 · 数学 2025-08-14 Wentao Zhang , Baoyong Zhang , Deming Yuan , Shengyuan Xu , Vincent K. N. Lau

In this paper, we consider the multi-armed bandit problem with high-dimensional features. First, we prove a minimax lower bound, $\mathcal{O}\big((\log d)^{\frac{\alpha+1}{2}}T^{\frac{1-\alpha}{2}}+\log T\big)$, for the cumulative regret,…

机器学习 · 计算机科学 2021-09-27 Ke Li , Yun Yang , Naveen N. Narisetty

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

机器学习 · 计算机科学 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan

We study calibeating, the problem of post-processing external forecasts online to minimize cumulative losses and match an informativeness-based benchmark. Unlike prior work, which analyzed calibeating for specific losses with specific…

机器学习 · 计算机科学 2026-03-24 Yurong Chen , Zhiyi Huang , Michael I. Jordan , Haipeng Luo

Saddle-point optimization problems are an important class of optimization problems with applications to game theory, multi-agent reinforcement learning and machine learning. A majority of the rich literature available for saddle-point…

最优化与控制 · 数学 2019-12-05 Abhishek Roy , Yifang Chen , Krishnakumar Balasubramanian , Prasant Mohapatra

We provide the first sub-linear space and sub-linear regret algorithm for online learning with expert advice (against an oblivious adversary), addressing an open question raised recently by Srinivas, Woodruff, Xu and Zhou (STOC 2022). We…

数据结构与算法 · 计算机科学 2022-11-09 Binghui Peng , Fred Zhang

We study a variant of decision-theoretic online learning in which the set of experts that are available to Learner can shrink over time. This is a restricted version of the well-studied sleeping experts problem, itself a generalization of…

机器学习 · 计算机科学 2019-10-31 Hamid Shayestehmanesh , Sajjad Azami , Nishant A. Mehta

We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

机器学习 · 计算机科学 2010-02-26 Matthew Streeter , H. Brendan McMahan

Recursive least-squares algorithms often use forgetting factors as a heuristic to adapt to non-stationary data streams. The first contribution of this paper rigorously characterizes the effect of forgetting factors for a class of online…

机器学习 · 计算机科学 2019-11-22 Jianjun Yuan , Andrew Lamperski

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

机器学习 · 计算机科学 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

We study an online linear optimization (OLO) problem in which the learner is provided access to $K$ "hint" vectors in each round prior to making a decision. In this setting, we devise an algorithm that obtains logarithmic regret whenever…

机器学习 · 计算机科学 2020-10-08 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

We propose an algorithm that uses linear function approximation (LFA) for stochastic shortest path (SSP). Under minimal assumptions, it obtains sublinear regret, is computationally efficient, and uses stationary policies. To our knowledge,…

机器学习 · 计算机科学 2022-05-30 Daniel Vial , Advait Parulekar , Sanjay Shakkottai , R. Srikant