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Online Agnostic Boosting via Regret Minimization

2020/03/02 by Nataly Brukhim, Xinyi Chen, Brukhim, Nataly +5 · 2 citations
Computer Science · Decision Sciences · Mathematics · #Advanced Bandit Algorithms Research #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #cs.LG #stat.ML

paper · pdf · doi:10.48550/arxiv.2003.01150

arxiv created 2020/03/02 · openalex publication_date 2020/03/02 · arxiv updated 2020/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Boosting is a widely used machine learning approach based on the idea of aggregating weak learning rules. While in statistical learning numerous boosting methods exist both in the realizable and agnostic settings, in online learning they exist only in the realizable case. In this work we provide the first agnostic online boosting algorithm; that is, given a weak learner with only marginally-better-than-trivial regret guarantees, our algorithm boosts it to a strong learner with sublinear regret. Our algorithm is based on an abstract (and simple) reduction to online convex optimization, which efficiently converts an arbitrary online convex optimizer to an online booster. Moreover, this reduction extends to the statistical as well as the online realizable settings, thus unifying the 4 cases of statistical/online and agnostic/realizable boosting.

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