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In this paper, we consider unregularized online learning algorithms in a Reproducing Kernel Hilbert Spaces (RKHS). Firstly, we derive explicit convergence rates of the unregularized online learning algorithms for classification associated…

Machine Learning · Computer Science 2015-04-28 Yiming Ying , Ding-Xuan Zhou

Alon et al. [2019] and Bun et al. [2020] recently showed that online learnability and private PAC learnability are equivalent in binary classification. We investigate whether this equivalence extends to multi-class classification and…

Machine Learning · Statistics 2021-10-12 Young Hun Jung , Baekjin Kim , Ambuj Tewari

We study fast rates of convergence in the setting of nonparametric online regression, namely where regret is defined with respect to an arbitrary function class which has bounded complexity. Our contributions are two-fold: - In the…

Machine Learning · Computer Science 2022-04-13 Constantinos Daskalakis , Noah Golowich

Contextual online decision-making problems with constraints appear in a wide range of real-world applications, such as adaptive experimental design under safety constraints, personalized recommendation with resource limits, and dynamic…

Machine Learning · Statistics 2025-05-23 Haichen Hu , David Simchi-Levi , Navid Azizan

In [1, 2], we have explored the theoretical aspects of feature extraction optimization processes for solving largescale problems and overcoming machine learning limitations. Majority of optimization algorithms that have been introduced in…

Machine Learning · Computer Science 2019-08-28 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

Machine Learning · Statistics 2024-05-20 Lexing Ying

We study a new learning protocol, termed partial-feedback online learning, where each instance admits a set of acceptable labels, but the learner observes only one acceptable label per round. We highlight that, while classical version space…

Machine Learning · Computer Science 2026-04-03 Shihao Shao , Cong Fang , Zhouchen Lin , Dacheng Tao

We present the first theoretical guarantees for zero constraint violation in Online Convex Optimization (OCO) across all rounds, addressing dynamic constraint changes. Unlike existing approaches in constrained OCO, which allow for…

Machine Learning · Computer Science 2025-05-02 Bassel Hamoud , Ilnura Usmanova , Kfir Y. Levy

In this paper we propose a model-based approach to the design of online optimization algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) w.r.t. state-of-the-art methods. We focus first on quadratic…

Optimization and Control · Mathematics 2023-07-24 Nicola Bastianello , Ruggero Carli , Sandro Zampieri

One of the main strengths of online algorithms is their ability to adapt to arbitrary data sequences. This is especially important in nonparametric settings, where performance is measured against rich classes of comparator functions that…

Machine Learning · Computer Science 2020-11-03 Ilja Kuzborskij , Nicolò Cesa-Bianchi

In this paper, we consider the problem of preserving privacy in the online learning setting. We study the problem in the online convex programming (OCP) framework---a popular online learning setting with several interesting theoretical and…

Machine Learning · Computer Science 2015-03-19 Prateek Jain , Pravesh Kothari , Abhradeep Thakurta

In the problem of online learning for changing environments, data are sequentially received one after another over time, and their distribution assumptions may vary frequently. Although existing methods demonstrate the effectiveness of…

Machine Learning · Computer Science 2023-07-18 Chen Zhao , Feng Mi , Xintao Wu , Kai Jiang , Latifur Khan , Christan Grant , Feng Chen

Online continual learning (OCL) aims to enable model learning from a non-stationary data stream to continuously acquire new knowledge as well as retain the learnt one, under the constraints of having limited system size and computational…

Computer Vision and Pattern Recognition · Computer Science 2023-01-16 Sheng-Feng Yu , Wei-Chen Chiu

Q-learning methods represent a commonly used class of algorithms in reinforcement learning: they are generally efficient and simple, and can be combined readily with function approximators for deep reinforcement learning (RL). However, the…

Machine Learning · Computer Science 2019-02-28 Justin Fu , Aviral Kumar , Matthew Soh , Sergey Levine

Adversarial online linear optimization (OLO) is essentially about making performance tradeoffs with respect to the unknown difficulty of the adversary. In the setting of one-dimensional fixed-time OLO on a bounded domain, it has been…

Machine Learning · Statistics 2026-02-09 Zhiyu Zhang , Aaditya Ramdas

A classical result in online learning characterizes the optimal mistake bound achievable by deterministic learners using the Littlestone dimension (Littlestone '88). We prove an analogous result for randomized learners: we show that the…

Machine Learning · Computer Science 2025-12-18 Yuval Filmus , Steve Hanneke , Idan Mehalel , Shay Moran

In this paper, we use differential privacy as a lens to examine online learning in both full and partial information settings. The differential privacy framework is, at heart, less about privacy and more about algorithmic stability, and…

Machine Learning · Computer Science 2019-10-30 Jacob Abernethy , Young Hun Jung , Chansoo Lee , Audra McMillan , Ambuj Tewari

We analyze a new approach to Machine Learning coming from a modification of classical regularization networks by casting the process in the time dimension, leading to a sort of collapse of dimensionality in the problem of learning the model…

Machine Learning · Computer Science 2017-01-05 Marco Gori , Marco Maggini , Alessandro Rossi

We consider the fundamental problem of prediction with expert advice where the experts are "optimizable": there is a black-box optimization oracle that can be used to compute, in constant time, the leading expert in retrospect at any point…

Machine Learning · Computer Science 2016-01-28 Elad Hazan , Tomer Koren

We deal with a general distributed constrained online learning problem with privacy over time-varying networks, where a class of nondecomposable objectives are considered. Under this setting, each node only controls a part of the global…

Optimization and Control · Mathematics 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li
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