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We study online prediction where regret of the algorithm is measured against a benchmark defined via evolving constraints. This framework captures online prediction on graphs, as well as other prediction problems with combinatorial…

机器学习 · 计算机科学 2015-06-15 Alexander Rakhlin , Karthik Sridharan

We address the online linear optimization problem when the actions of the forecaster are represented by binary vectors. Our goal is to understand the magnitude of the minimax regret for the worst possible set of actions. We study the…

机器学习 · 统计学 2011-05-25 Jean-Yves Audibert , Sebastien Bubeck , Gabor Lugosi

We study a stochastic bandit algorithm motivated by retry-aware objectives that value the best outcome among multiple attempts, such as pass@$k$ and max@$k$. Given a posterior over arm values, ReMax chooses a sampling distribution that…

机器学习 · 计算机科学 2026-05-21 Bingkui Tong , Junpei Komiyama , Soichiro Nishimori , Paavo Parmas

This paper investigates online composite optimization in dynamic environments, where each objective or loss function contains a time-varying nondifferentiable regularizer. To resolve it, an online proximal gradient algorithm is studied for…

最优化与控制 · 数学 2023-03-24 Ruijie Hou , Xiuxian Li , Yang Shi

We consider the problem of transfer learning in an online setting. Different tasks are presented sequentially and processed by a within-task algorithm. We propose a lifelong learning strategy which refines the underlying data representation…

机器学习 · 统计学 2019-10-14 Pierre Alquier , The Tien Mai , Massimiliano Pontil

In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property.…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Maryam Fazel

We propose new algorithms with provable performance for online binary optimization subject to general constraints and in dynamic settings. We consider the subset of problems in which the objective function is submodular. We propose the…

最优化与控制 · 数学 2024-05-03 Antoine Lesage-Landry , Julien Pallage

In the setting of online learning, Implicit algorithms turn out to be highly successful from a practical standpoint. However, the tightest regret analyses only show marginal improvements over Online Mirror Descent. In this work, we shed…

机器学习 · 计算机科学 2020-11-10 Nicolò Campolongo , Francesco Orabona

We study batch learning with log-loss in the individual setting, where the outcome sequence is deterministic. Because empirical statistics are not directly applicable in this regime, obtaining regret guarantees for batch learning has long…

信息论 · 计算机科学 2025-11-18 Yaniv Fogel , Meir Feder

This paper considers the distributed online convex optimization problem with time-varying constraints over a network of agents. This is a sequential decision making problem with two sequences of arbitrarily varying convex loss and…

最优化与控制 · 数学 2022-12-29 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Tianyou Chai , Karl H. Johansson

In online convex optimization (OCO), Lipschitz continuity of the functions is commonly assumed in order to obtain sublinear regret. Moreover, many algorithms have only logarithmic regret when these functions are also strongly convex.…

机器学习 · 计算机科学 2021-01-01 Yihan Zhou , Victor S. Portella , Mark Schmidt , Nicholas J. A. Harvey

Online strategic classification studies settings in which agents strategically modify their features to obtain favorable predictions. For example, given a classifier that determines loan approval based on credit scores, applicants may open…

机器学习 · 计算机科学 2026-02-09 Chase Hutton , Adam Melrod , Han Shao

To expand the applicability of decentralized online learning, previous studies have proposed several algorithms for decentralized online continuous submodular maximization (D-OCSM) -- a non-convex/non-concave setting with continuous…

机器学习 · 计算机科学 2026-02-11 Yuanyu Wan , Yu Shen , Dingzhi Yu , Bo Xue , Mingli Song

We study the sequential general online regression, known also as the sequential probability assignments, under logarithmic loss when compared against a broad class of experts. We focus on obtaining tight, often matching, lower and upper…

机器学习 · 计算机科学 2023-02-02 Changlong Wu , Mohsen Heidari , Ananth Grama , Wojciech Szpankowski

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

机器学习 · 计算机科学 2021-12-08 Gautam Goel , Babak Hassibi

Recent literature has made much progress in understanding \emph{online LQR}: a modern learning-theoretic take on the classical control problem in which a learner attempts to optimally control an unknown linear dynamical system with fully…

机器学习 · 计算机科学 2020-10-06 Max Simchowitz

Online minimization of an unknown convex function over the interval $[0,1]$ is considered under first-order stochastic bandit feedback, which returns a random realization of the gradient of the function at each query point. Without knowing…

机器学习 · 统计学 2020-02-21 Sattar Vakili , Sudeep Salgia , Qing Zhao

Quantile (and, more generally, KL) regret bounds, such as those achieved by NormalHedge (Chaudhuri, Freund, and Hsu 2009) and its variants, relax the goal of competing against the best individual expert to only competing against a majority…

机器学习 · 统计学 2021-11-09 Jeffrey Negrea , Blair Bilodeau , Nicolò Campolongo , Francesco Orabona , Daniel M. Roy

We study the problem of sequential prediction and online minimax regret with stochastically generated features under a general loss function. We introduce a notion of expected worst case minimax regret that generalizes and encompasses prior…

机器学习 · 计算机科学 2023-08-08 Changlong Wu , Mohsen Heidari , Ananth Grama , Wojciech Szpankowski

We address the problem of the achievable regret rates with online logistic regression. We derive lower bounds with logarithmic regret under $L_1$, $L_2$, and $L_\infty$ constraints on the parameter values. The bounds are dominated by $d/2…

机器学习 · 计算机科学 2020-02-20 Gil I. Shamir
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