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We consider the problem of \textit{online sparse linear approximation}, where one predicts the best sparse approximation of a sequence of measurements in terms of linear combination of columns of a given measurement matrix. Such online…

Machine Learning · Computer Science 2025-01-08 Samrat Mukhopadhyay , Debasmita Mukherjee

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

Machine Learning · Computer Science 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses

In the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

Data Structures and Algorithms · Computer Science 2025-06-03 Allan Borodin , Christodoulos Karavasilis

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

Statistics Theory · Mathematics 2025-07-08 Tianyu Zhang , Jing Lei

We consider a non-stationary variant of a sequential stochastic optimization problem, in which the underlying cost functions may change along the horizon. We propose a measure, termed variation budget, that controls the extent of said…

Probability · Mathematics 2019-06-07 O. Besbes , Y. Gur , A. Zeevi

This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

Machine Learning · Computer Science 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

Panel data, in which multiple units are repeatedly observed over time, arise throughout science and engineering. Quantifying predictive uncertainty in such settings is challenging because conformal prediction, while distribution-free and…

Machine Learning · Statistics 2026-05-19 Daohong Tu , Kay Giesecke

In this paper, the problem of online distributed zeroth-order optimization subject to a set constraint is studied via a multi-agent network, where each agent can communicate with its immediate neighbors via a time-varying directed graph.…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Yanfu Qin , Kaihong Lu

In this paper, we study an online sampling problem of the Wiener process. The goal is to minimize the mean squared error (MSE) of the remote estimator under a sampling frequency constraint when the transmission delay distribution is…

Information Theory · Computer Science 2022-12-27 Haoyue Tang , Yin Sun , Leandros Tassiulas

We present the online Newton's method, a single-step second-order method for online nonconvex optimization. We analyze its performance and obtain a dynamic regret bound that is linear in the cumulative variation between round optima. We…

Optimization and Control · Mathematics 2020-12-11 Antoine Lesage-Landry , Joshua A. Taylor , Iman Shames

This paper considers online convex optimization (OCO) with stochastic constraints, which generalizes Zinkevich's OCO over a known simple fixed set by introducing multiple stochastic functional constraints that are i.i.d. generated at each…

Optimization and Control · Mathematics 2017-08-15 Hao Yu , Michael J. Neely , Xiaohan Wei

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

Methodology · Statistics 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

Static benchmarks measure a model frozen at training time. Real systems face distribution shift: new categories, paraphrased queries, drift: and must recover online via user corrections. No existing benchmark measures recovery speed under…

Machine Learning · Computer Science 2026-05-06 Adrian Grassi

We study the problem of online clustering where a clustering algorithm has to assign a new point that arrives to one of $k$ clusters. The specific formulation we use is the $k$-means objective: At each time step the algorithm has to…

Machine Learning · Computer Science 2021-04-22 Vincent Cohen-Addad , Benjamin Guedj , Varun Kanade , Guy Rom

Despite their benefits in terms of simplicity, low computational cost and data requirement, parametric machine learning algorithms, such as linear discriminant analysis, quadratic discriminant analysis or logistic regression, suffer from…

Machine Learning · Statistics 2025-11-13 Mohamed Chaouch , Omama M. Al-Hamed

This study develops an online predictive optimization framework for dynamically operating a transit service in an area of crowd movements. The proposed framework integrates demand prediction and supply optimization to periodically redesign…

Machine Learning · Statistics 2020-02-25 Inon Peled , Kelvin Lee , Yu Jiang , Justin Dauwels , Francisco C. Pereira

We study online policy optimization in nonlinear time-varying dynamical systems where the true dynamical models are unknown to the controller. This problem is challenging because, unlike in linear systems, the controller cannot obtain…

Optimization and Control · Mathematics 2024-04-22 Yiheng Lin , James A. Preiss , Fengze Xie , Emile Anand , Soon-Jo Chung , Yisong Yue , Adam Wierman

This paper studies online convex optimization with stochastic constraints. We propose a variant of the drift-plus-penalty algorithm that guarantees $O(\sqrt{T})$ expected regret and zero constraint violation, after a fixed number of…

Optimization and Control · Mathematics 2023-07-17 Yeongjong Kim , Dabeen Lee

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

This work explores use of novel advances in best subset selection for regression modelling via continuous optimization for offline change point detection and estimation in univariate Gaussian data sequences. The approach exploits…

Methodology · Statistics 2024-07-08 Hans Reimann , Sarat Moka , Georgy Sofronov