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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

We consider online learning problems in the realizable setting, where there is a zero-loss solution, and propose new Differentially Private (DP) algorithms that obtain near-optimal regret bounds. For the problem of online prediction from…

Machine Learning · Computer Science 2023-03-01 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

We consider the problem of online classification under a privacy constraint. In this setting a learner observes sequentially a stream of labelled examples $(x_t, y_t)$, for $1 \leq t \leq T$, and returns at each iteration $t$ a hypothesis…

Machine Learning · Computer Science 2021-06-28 Noah Golowich , Roi Livni

This paper establishes minimax rates for online regression with arbitrary classes of functions and general losses. We show that below a certain threshold for the complexity of the function class, the minimax rates depend on both the…

Machine Learning · Statistics 2015-01-28 Alexander Rakhlin , Karthik Sridharan

We revisit the problem of private online learning, in which a learner receives a sequence of $T$ data points and has to respond at each time-step a hypothesis. It is required that the entire stream of output hypotheses should satisfy…

Machine Learning · Computer Science 2025-11-11 Bo Li , Wei Wang , Peng Ye

Online imitation learning is the problem of how best to mimic expert demonstrations, given access to the environment or an accurate simulator. Prior work has shown that in the infinite sample regime, exact moment matching achieves value…

This paper is concerned with offline reinforcement learning (RL), which learns using pre-collected data without further exploration. Effective offline RL would be able to accommodate distribution shift and limited data coverage. However,…

Machine Learning · Statistics 2024-03-11 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi , Yuting Wei

In this work, we aim to characterize the statistical complexity of realizable regression both in the PAC learning setting and the online learning setting. Previous work had established the sufficiency of finiteness of the fat shattering…

Machine Learning · Computer Science 2024-10-04 Idan Attias , Steve Hanneke , Alkis Kalavasis , Amin Karbasi , Grigoris Velegkas

We study the problem of online binary classification in settings where strategic agents can modify their observable features to receive a positive classification. We model the set of feasible manipulations by a directed graph over the…

Machine Learning · Computer Science 2024-07-17 Saba Ahmadi , Kunhe Yang , Hanrui Zhang

Motivated by the predictable nature of real-life in data streams, we study online regression when the learner has access to predictions about future examples. In the extreme case, called transductive online learning, the sequence of…

Machine Learning · Computer Science 2025-10-07 Vinod Raman , Shenghao Xie , Samson Zhou

We consider the problem of online nonparametric regression with arbitrary deterministic sequences. Using ideas from the chaining technique, we design an algorithm that achieves a Dudley-type regret bound similar to the one obtained in a…

Machine Learning · Statistics 2015-07-02 Pierre Gaillard , Sébastien Gerchinovitz

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 consider a challenging theoretical problem in offline reinforcement learning (RL): obtaining sample-efficiency guarantees with a dataset lacking sufficient coverage, under only realizability-type assumptions for the function…

Machine Learning · Computer Science 2022-06-16 Jinglin Chen , Nan Jiang

An important challenge in metric learning is scalability to both size and dimension of input data. Online metric learning algorithms are proposed to address this challenge. Existing methods are commonly based on (Passive Aggressive) PA…

Machine Learning · Computer Science 2020-10-13 Davood Zabihzadeh , Amar Tuama , Ali Karami-Mollaee

We consider the online version of the isotonic regression problem. Given a set of linearly ordered points (e.g., on the real line), the learner must predict labels sequentially at adversarially chosen positions and is evaluated by her total…

Machine Learning · Computer Science 2016-10-10 Wojciech Kotłowski , Wouter M. Koolen , Alan Malek

We establish optimal rates for online regression for arbitrary classes of regression functions in terms of the sequential entropy introduced in (Rakhlin, Sridharan, Tewari, 2010). The optimal rates are shown to exhibit a phase transition…

Machine Learning · Statistics 2014-02-12 Alexander Rakhlin , Karthik Sridharan

Deep reinforcement learning (RL) has shown remarkable success in specific offline decision-making scenarios, yet its theoretical guarantees are still under development. Existing works on offline RL theory primarily emphasize a few trivial…

Machine Learning · Computer Science 2023-12-20 Di Wu , Yuling Jiao , Li Shen , Haizhao Yang , Xiliang Lu

While metric and similarity learning has been extensively studied from several theoretical perspectives, a rigorous understanding of its generalization performance is still lacking. In this paper, we investigate the generalization behavior…

Machine Learning · Statistics 2026-05-19 Junyu Zhou , Puyu Wang , Ding-Xuan Zhou

We study an instance of online non-parametric classification in the realizable setting. In particular, we consider the classical 1-nearest neighbor algorithm, and show that it achieves sublinear regret - that is, a vanishing mistake rate -…

Machine Learning · Computer Science 2023-07-04 Sanjoy Dasgupta , Geelon So

In this paper, we study the problem of efficient online reinforcement learning in the infinite horizon setting when there is an offline dataset to start with. We assume that the offline dataset is generated by an expert but with unknown…

Machine Learning · Computer Science 2024-02-05 Dengwang Tang , Rahul Jain , Botao Hao , Zheng Wen
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