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We consider algorithms for "smoothed online convex optimization" problems, a variant of the class of online convex optimization problems that is strongly related to metrical task systems. Prior literature on these problems has focused on…

数据结构与算法 · 计算机科学 2015-08-18 Lachlan L. H. Andrew , Siddharth Barman , Katrina Ligett , Minghong Lin , Adam Meyerson , Alan Roytman , Adam Wierman

This paper considers the stability of online learning algorithms and its implications for learnability (bounded regret). We introduce a novel quantity called {\em forward regret} that intuitively measures how good an online learning…

机器学习 · 计算机科学 2012-11-28 Ankan Saha , Prateek Jain , Ambuj Tewari

Multitask learning is a powerful framework that enables one to simultaneously learn multiple related tasks by sharing information between them. Quantifying uncertainty in the estimated tasks is of pivotal importance for many downstream…

机器学习 · 计算机科学 2023-08-04 Pier Giuseppe Sessa , Pierre Laforgue , Nicolò Cesa-Bianchi , Andreas Krause

In the framework of prediction with expert advice, we consider a recently introduced kind of regret bounds: the bounds that depend on the effective instead of nominal number of experts. In contrast to the NormalHedge bound, which mainly…

机器学习 · 计算机科学 2015-03-17 Alexey Chernov , Vladimir Vovk

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

机器学习 · 统计学 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

We show that learning algorithms satisfying a $\textit{low approximate regret}$ property experience fast convergence to approximate optimality in a large class of repeated games. Our property, which simply requires that each learner has…

计算机科学与博弈论 · 计算机科学 2016-12-19 Dylan J. Foster , Zhiyuan Li , Thodoris Lykouris , Karthik Sridharan , Eva Tardos

In this paper, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme which employs a proximity-based formulation of the underlying…

最优化与控制 · 数学 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

Towards bridging classical optimal control and online learning, regret minimization has recently been proposed as a control design criterion. This competitive paradigm penalizes the loss relative to the optimal control actions chosen by a…

系统与控制 · 电气工程与系统科学 2023-06-27 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate

This paper proposes a new family of algorithms for the online optimisation of composite objectives. The algorithms can be interpreted as the combination of the exponentiated gradient and $p$-norm algorithm. Combined with algorithmic ideas…

最优化与控制 · 数学 2022-08-09 Weijia Shao , Fikret Sivrikaya , Sahin Albayrak

We devise an online learning algorithm -- titled Switching via Monotone Adapted Regret Traces (SMART) -- that adapts to the data and achieves regret that is instance optimal, i.e., simultaneously competitive on every input sequence compared…

机器学习 · 计算机科学 2024-02-28 Siddhartha Banerjee , Alankrita Bhatt , Christina Lee Yu

We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a…

机器学习 · 计算机科学 2025-10-09 Yahav Bechavod , Jiuyao Lu , Aaron Roth

The most prominent feedback models for the best expert problem are the full information and bandit models. In this work we consider a simple feedback model that generalizes both, where on every round, in addition to a bandit feedback, the…

机器学习 · 计算机科学 2020-12-18 Eyal Gofer , Guy Gilboa

We propose an optimal iterative scheme for federated transfer learning, where a central planner has access to datasets ${\cal D}_1,\dots,{\cal D}_N$ for the same learning model $f_{\theta}$. Our objective is to minimize the cumulative…

机器学习 · 计算机科学 2024-10-04 Xuwei Yang , Anastasis Kratsios , Florian Krach , Matheus Grasselli , Aurelien Lucchi

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

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

机器学习 · 计算机科学 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

We consider the problem of Imitation Learning (IL) by actively querying noisy expert for feedback. While imitation learning has been empirically successful, much of prior work assumes access to noiseless expert feedback which is not…

机器学习 · 计算机科学 2023-07-12 Ayush Sekhari , Karthik Sridharan , Wen Sun , Runzhe Wu

Smoothed online combinatorial optimization considers a learner who repeatedly chooses a combinatorial decision to minimize an unknown changing cost function with a penalty on switching decisions in consecutive rounds. We study smoothed…

机器学习 · 计算机科学 2023-01-18 Kai Wang , Zhao Song , Georgios Theocharous , Sridhar Mahadevan

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

We propose the first reduction-based approach to obtaining long-term memory guarantees for online learning in the sense of Bousquet and Warmuth, 2002, by reducing the problem to achieving typical switching regret. Specifically, for the…

机器学习 · 计算机科学 2019-10-29 Kai Zheng , Haipeng Luo , Ilias Diakonikolas , Liwei Wang

We consider the adversarial multi-armed bandit problem under delayed feedback. We analyze variants of the Exp3 algorithm that tune their step-size using only information (about the losses and delays) available at the time of the decisions,…

机器学习 · 计算机科学 2020-10-14 András György , Pooria Joulani