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Related papers: Optimal Tracking in Prediction with Expert Advice

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Consider the classical problem of predicting the next bit in a sequence of bits. A standard performance measure is {\em regret} (loss in payoff) with respect to a set of experts. For example if we measure performance with respect to two…

Machine Learning · Computer Science 2013-04-30 Rina Panigrahy , Preyas Popat

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…

Optimization and Control · Mathematics 2023-03-24 Ruijie Hou , Xiuxian Li , Yang Shi

In many modern applications, a system must dynamically choose between several adaptive learning algorithms that are trained online. Examples include model selection in streaming environments, switching between trading strategies in finance,…

Machine Learning · Computer Science 2026-01-19 Ilgam Latypov , Alexandra Suvorikova , Alexey Kroshnin , Alexander Gasnikov , Yuriy Dorn

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…

Machine Learning · Statistics 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

We introduce the $\texttt{$k$-experts}$ problem - a generalization of the classic Prediction with Expert's Advice framework. Unlike the classic version, where the learner selects exactly one expert from a pool of $N$ experts at each round,…

Information Theory · Computer Science 2022-02-18 Samrat Mukhopadhyay , Sourav Sahoo , Abhishek Sinha

Online learning with expert advice is a fundamental problem of sequential prediction. In this problem, the algorithm has access to a set of $n$ "experts" who make predictions on each day. The goal on each day is to process these…

Data Structures and Algorithms · Computer Science 2022-04-22 Vaidehi Srinivas , David P. Woodruff , Ziyu Xu , Samson Zhou

We enable efficient and effective coordination in unpredictable environments, i.e., in environments whose future evolution is unknown a priori and even adversarial. We are motivated by the future of autonomy that involves multiple robots…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Zirui Xu , Hongyu Zhou , Vasileios Tzoumas

We study the problem of dynamic regret minimization in online convex optimization, in which the objective is to minimize the difference between the cumulative loss of an algorithm and that of an arbitrary sequence of comparators. While the…

Machine Learning · Computer Science 2024-11-05 Andrew Jacobsen , Francesco Orabona

We consider the classic problem of online convex optimisation. Whereas the notion of static regret is relevant for stationary problems, the notion of switching regret is more appropriate for non-stationary problems. A switching regret is…

Machine Learning · Computer Science 2025-03-07 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis , Mark Herbster

We study online conformal prediction for non-stationary data streams subject to unknown distribution drift. While most prior work studied this problem under adversarial settings and/or assessed performance in terms of gaps of time-averaged…

Statistics Theory · Mathematics 2026-03-06 Jiadong Liang , Zhimei Ren , Yuxin Chen

We investigate online convex optimization in non-stationary environments and choose dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

Machine Learning · Computer Science 2024-04-09 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

We consider the problem of binary prediction with expert advice in settings where experts have agency and seek to maximize their credibility. This paper makes three main contributions. First, it defines a model to reason formally about…

Computer Science and Game Theory · Computer Science 2021-03-16 Tim Roughgarden , Okke Schrijvers

This work addresses the classic machine learning problem of online prediction with expert advice. We consider the finite-horizon version of this zero-sum, two-person game. Using verification arguments from optimal control theory, we view…

Machine Learning · Computer Science 2020-06-30 Vladimir A. Kobzar , Robert V. Kohn , Zhilei Wang

We consider the problem of online learning where the sequence of actions played by the learner must adhere to an unknown safety constraint at every round. The goal is to minimize regret with respect to the best safe action in hindsight…

Machine Learning · Computer Science 2024-03-08 Karthik Sridharan , Seung Won Wilson Yoo

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…

Machine Learning · Computer Science 2015-06-15 Alexander Rakhlin , Karthik Sridharan

We study the problem of online learning with a notion of regret defined with respect to a set of strategies. We develop tools for analyzing the minimax rates and for deriving regret-minimization algorithms in this scenario. While the…

Machine Learning · Statistics 2013-02-13 Wei Han , Alexander Rakhlin , Karthik Sridharan

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…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

Data Structures and Algorithms · Computer Science 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

Optimization problems routinely depend on uncertain parameters that must be predicted before a decision is made. Classical robust and regret formulations are designed to handle erroneous predictions and can provide statistical error bounds…

Optimization and Control · Mathematics 2026-03-30 Jannis Kurtz , Bart P. G. van Parys

In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

Optimization and Control · Mathematics 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh
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