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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

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

机器学习 · 计算机科学 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

This paper mainly addresses the distributed online optimization problem where the local objective functions are assumed to be convex or non-convex. First, the distributed algorithms are proposed for the convex and non-convex situations,…

最优化与控制 · 数学 2025-03-24 Yaowen Wang , Lipo Mo , Min Zuo , Yuanshi Zheng

We study the problem of online learning (OL) from revealed preferences: a learner wishes to learn a non-strategic agent's private utility function through observing the agent's utility-maximizing actions in a changing environment. We adopt…

最优化与控制 · 数学 2021-06-07 Violet Xinying Chen , Fatma Kılınç-Karzan

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

机器学习 · 计算机科学 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

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 study how to make decisions that minimize Bayesian regret in offline linear bandits. Prior work suggests that one must take actions with maximum lower confidence bound (LCB) on their reward. We argue that the reliance on LCB is…

机器学习 · 计算机科学 2024-07-04 Marek Petrik , Guy Tennenholtz , Mohammad Ghavamzadeh

This paper addresses Online Convex Optimization (OCO) problems where the constraints have additive perturbations that (i) vary over time and (ii) are not known at the time to make a decision. Perturbations may not be i.i.d. generated and…

最优化与控制 · 数学 2019-06-04 Víctor Valls , George Iosifidis , Douglas J. Leith , Leandros Tassiulas

We revisit the challenge of designing online algorithms for the bandit convex optimization problem (BCO) which are also scalable to high dimensional problems. Hence, we consider algorithms that are \textit{projection-free}, i.e., based on…

机器学习 · 计算机科学 2019-10-09 Dan Garber , Ben Kretzu

This work focuses on dynamic regret of online convex optimization that compares the performance of online learning to a clairvoyant who knows the sequence of loss functions in advance and hence selects the minimizer of the loss function at…

机器学习 · 计算机科学 2016-05-17 Tianbao Yang , Lijun Zhang , Rong Jin , Jinfeng Yi

In this paper we study the mincut problem in the online setting. We consider two distinct models: A) competitive analysis and B) regret analysis. In the competitive setting we consider the vertex arrival model; whenever a new vertex arrives…

数据结构与算法 · 计算机科学 2020-08-17 Avah Banerjee , Guoli Ding

We study algorithms for online linear optimization in Hilbert spaces, focusing on the case where the player is unconstrained. We develop a novel characterization of a large class of minimax algorithms, recovering, and even improving,…

机器学习 · 计算机科学 2014-05-22 H. Brendan McMahan , Francesco Orabona

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 analyze the meta-learning of the initialization and step-size of learning algorithms for piecewise-Lipschitz functions, a non-convex setting with applications to both machine learning and algorithms. Starting from recent regret bounds…

机器学习 · 计算机科学 2021-08-20 Maria-Florina Balcan , Mikhail Khodak , Dravyansh Sharma , Ameet Talwalkar

Existing approaches to online convex optimization (OCO) make sequential one-slot-ahead decisions, which lead to (possibly adversarial) losses that drive subsequent decision iterates. Their performance is evaluated by the so-called regret…

系统与控制 · 计算机科学 2017-11-22 Tianyi Chen , Qing Ling , Georgios B. Giannakis

Stochastically Extended Adversarial (SEA) model is introduced by Sachs et al. [2022] as an interpolation between stochastic and adversarial online convex optimization. Under the smoothness condition, they demonstrate that the expected…

机器学习 · 计算机科学 2024-03-19 Sijia Chen , Yu-Jie Zhang , Wei-Wei Tu , Peng Zhao , Lijun Zhang

Online learning has traditionally focused on the expected rewards. In this paper, a risk-averse online learning problem under the performance measure of the mean-variance of the rewards is studied. Both the bandit and full information…

机器学习 · 统计学 2019-03-15 Sattar Vakili , Alexis Boukouvalas , Qing Zhao

The goal of a learner in standard online learning is to maintain an average loss close to the loss of the best-performing single function in some class. In many real-world problems, such as rating or ranking items, there is no single best…

机器学习 · 计算机科学 2013-03-18 Edward Moroshko , Koby Crammer

Maintaining predictive accuracy in non-stationary environments requires online model selection to adapt autonomously to unknown distribution shifts. However, existing tuning-free algorithms face a fundamental trade-off between robustness…

机器学习 · 计算机科学 2026-05-27 Kei Takemura , Ryuta Matsuno , Keita Sakuma

In this paper, we study the problem of online sparse linear regression (OSLR) where the algorithms are restricted to accessing only $k$ out of $d$ attributes per instance for prediction, which was proved to be NP-hard. Previous work gave…

机器学习 · 计算机科学 2025-11-03 Junfan Li , Shizhong Liao , Zenglin Xu , Liqiang Nie