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We study online convex optimization in a setting where the learner seeks to minimize the sum of a per-round hitting cost and a movement cost which is incurred when changing decisions between rounds. We prove a new lower bound on the…

Machine Learning · Computer Science 2019-10-23 Gautam Goel , Yiheng Lin , Haoyuan Sun , Adam Wierman

We study Smoothed Online Convex Optimization, a version of online convex optimization where the learner incurs a penalty for changing her actions between rounds. Given a $\Omega(\sqrt{d})$ lower bound on the competitive ratio of any online…

Machine Learning · Computer Science 2018-07-10 Niangjun Chen , Gautam Goel , Adam Wierman

We consider Online Convex Optimization (OCO) in the setting where the costs are $m$-strongly convex and the online learner pays a switching cost for changing decisions between rounds. We show that the recently proposed Online Balanced…

Machine Learning · Computer Science 2019-04-05 Gautam Goel , Adam Wierman

We examine the problem of smoothed online optimization, where a decision maker must sequentially choose points in a normed vector space to minimize the sum of per-round, non-convex hitting costs and the costs of switching decisions between…

Machine Learning · Computer Science 2022-10-28 Daan Rutten , Nico Christianson , Debankur Mukherjee , Adam Wierman

This paper presents competitive algorithms for a novel class of online optimization problems with memory. We consider a setting where the learner seeks to minimize the sum of a hitting cost and a switching cost that depends on the previous…

Machine Learning · Computer Science 2021-01-11 Guanya Shi , Yiheng Lin , Soon-Jo Chung , Yisong Yue , Adam Wierman

We study a variant of online optimization in which the learner receives $k$-round $\textit{delayed feedback}$ about hitting cost and there is a multi-step nonlinear switching cost, i.e., costs depend on multiple previous actions in a…

Machine Learning · Computer Science 2021-11-02 Weici Pan , Guanya Shi , Yiheng Lin , Adam Wierman

In many sequential decision making applications, the change of decision would bring an additional cost, such as the wear-and-tear cost associated with changing server status. To control the switching cost, we introduce the problem of online…

Machine Learning · Computer Science 2021-03-23 Guanghui Wang , Yuanyu Wan , Tianbao Yang , Lijun Zhang

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

Optimization and Control · Mathematics 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

In this paper, we revisit the problem of smoothed online learning, in which the online learner suffers both a hitting cost and a switching cost, and target two performance metrics: competitive ratio and dynamic regret with switching cost.…

Machine Learning · Computer Science 2021-05-19 Lijun Zhang , Wei Jiang , Shiyin Lu , Tianbao Yang

We consider the online convex optimization (OCO) problem with quadratic and linear switching cost in the limited information setting, where an online algorithm can choose its action using only gradient information about the previous…

Machine Learning · Computer Science 2023-10-19 Spandan Senapati , Rahul Vaze

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

Machine Learning · Computer Science 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

An online non-convex optimization problem is considered where the goal is to minimize the flow time (total delay) of a set of jobs by modulating the number of active servers, but with a switching cost associated with changing the number of…

Data Structures and Algorithms · Computer Science 2024-07-02 Rahul Vaze , Jayakrishnan Nair

In this paper, we investigate an online prediction strategy named as Discounted-Normal-Predictor (Kapralov and Panigrahy, 2010) for smoothed online convex optimization (SOCO), in which the learner needs to minimize not only the hitting cost…

Machine Learning · Computer Science 2022-05-03 Lijun Zhang , Wei Jiang , Jinfeng Yi , Tianbao Yang

Online convex optimization with switching cost is considered under the frugal information setting where at time $t$, before action $x_t$ is taken, only a single function evaluation and a single gradient is available at the previously chosen…

Optimization and Control · Mathematics 2025-07-08 Harsh Shah , Purna Chandrasekhar , Rahul Vaze

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

Optimization and Control · Mathematics 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

We consider the problem of online allocation subject to a long-term fairness penalty. Contrary to existing works, however, we do not assume that the decision-maker observes the protected attributes -- which is often unrealistic in practice.…

Machine Learning · Computer Science 2023-12-05 Mathieu Molina , Nicolas Gast , Patrick Loiseau , Vianney Perchet

Online mirror descent (OMD) is a fundamental algorithmic paradigm that underlies many algorithms in optimization, machine learning and sequential decision-making. The OMD iterates are defined as solutions to optimization subproblems which,…

Machine Learning · Computer Science 2025-12-01 Ofir Schlisselberg , Uri Sherman , Tomer Koren , Yishay Mansour

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

Data Structures and Algorithms · Computer Science 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior
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