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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 study a special bandit setting of online stochastic linear optimization, where only one-bit of information is revealed to the learner at each round. This problem has found many applications including online advertisement…

Machine Learning · Computer Science 2015-09-28 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

Machine Learning · Computer Science 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

We study the problem of online learning in a class of Markov decision processes known as linearly solvable MDPs. In the stationary version of this problem, a learner interacts with its environment by directly controlling the state…

Machine Learning · Computer Science 2017-06-07 Gergely Neu , Vicenç Gómez

We investigate online classification with paid stochastic experts. Here, before making their prediction, each expert must be paid. The amount that we pay each expert directly influences the accuracy of their prediction through some unknown…

Machine Learning · Statistics 2023-07-04 Dirk van der Hoeven , Ciara Pike-Burke , Hao Qiu , Nicolo Cesa-Bianchi

Iterative alignment methods based on purely greedy updates are remarkably effective in practice, yet existing theoretical guarantees of \(O(\log T)\) KL-regularized regret can seem pessimistic relative to their empirical performance. In…

Machine Learning · Computer Science 2026-04-21 Enoch Hyunwook Kang

Switching costs, which capture the costs for changing policies, are regarded as a critical metric in reinforcement learning (RL), in addition to the standard metric of losses (or rewards). However, existing studies on switching costs (with…

Machine Learning · Computer Science 2023-02-10 Ming Shi , Yingbin Liang , Ness Shroff

Online learning algorithms for dynamical systems provide finite time guarantees for control in the presence of sequentially revealed cost functions. We pose the classical linear quadratic tracking problem in the framework of online…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Aren Karapetyan , Diego Bolliger , Anastasios Tsiamis , Efe C. Balta , John Lygeros

Reinforcement learning typically assumes that agents observe feedback for their actions immediately, but in many real-world applications (like recommendation systems) feedback is observed in delay. This paper studies online learning in…

Machine Learning · Computer Science 2021-12-16 Tal Lancewicki , Aviv Rosenberg , Yishay Mansour

The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense…

Systems and Control · Computer Science 2014-11-19 Ali Heydari

Algorithms for online learning typically require one or more boundedness assumptions: that the domain is bounded, that the losses are Lipschitz, or both. In this paper, we develop a new setting for online learning with unbounded domains and…

Machine Learning · Computer Science 2023-07-18 Andrew Jacobsen , Ashok Cutkosky

Consider the domain of multiclass classification within the adversarial online setting. What is the price of relying on bandit feedback as opposed to full information? To what extent can an adaptive adversary amplify the loss compared to an…

Machine Learning · Computer Science 2024-02-13 Yuval Filmus , Steve Hanneke , Idan Mehalel , Shay Moran

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

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

Machine Learning · Computer Science 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

Unconstrained Online Linear Optimization (OLO) is a practical problem setting to study the training of machine learning models. Existing works proposed a number of potential-based algorithms, but in general the design of these potential…

Machine Learning · Computer Science 2022-06-16 Zhiyu Zhang , Ashok Cutkosky , Ioannis Paschalidis

This paper studies online shortest path routing over multi-hop networks. Link costs or delays are time-varying and modeled by independent and identically distributed random processes, whose parameters are initially unknown. The parameters,…

Networking and Internet Architecture · Computer Science 2017-01-19 M. Sadegh Talebi , Zhenhua Zou , Richard Combes , Alexandre Proutiere , Mikael Johansson

The performance of online convex optimization algorithms in a dynamic environment is often expressed in terms of the dynamic regret, which measures the decision maker's performance against a sequence of time-varying comparators. In the…

Machine Learning · Computer Science 2022-02-28 Nima Eshraghi , Ben Liang

We consider the problem of controlling an unknown linear dynamical system under adversarially changing convex costs and full feedback of both the state and cost function. We present the first computationally-efficient algorithm that attains…

Machine Learning · Computer Science 2022-06-06 Asaf Cassel , Alon Cohen , Tomer Koren

We consider systems that require timely monitoring of sources over a communication network, where the cost of delayed information is unknown, time-varying and possibly adversarial. For the single source monitoring problem, we design…

Networking and Internet Architecture · Computer Science 2021-05-31 Vishrant Tripathi , Eytan Modiano

We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dynamic regret. We provide a regret bound that holds for any…

Optimization and Control · Mathematics 2022-01-21 Antoine Lesage-Landry , Joshua A. Taylor , Duncan S. Callaway