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相关论文: Optimal Prediction Using Expert Advice and Randomi…

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Agnostic online learning is classically solved via a reduction to the realizable setting, utilizing Littlestone's Standard Optimal Algorithm (SOA) as a base learner. However, the SOA is computationally intractable to execute even for a…

机器学习 · 计算机科学 2026-05-11 Idan Attias , Steve Hanneke , Arvind Ramaswami

We study the problem of prediction with expert advice when the number of experts in question may be extremely large or even infinite. We devise an algorithm that obtains a tight regret bound of $\widetilde{O}(\epsilon T + N + \sqrt{NT})$,…

机器学习 · 计算机科学 2017-02-28 Alon Cohen , Shie Mannor

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…

数据结构与算法 · 计算机科学 2022-04-22 Vaidehi Srinivas , David P. Woodruff , Ziyu Xu , Samson Zhou

We consider online learning in the model where a learning algorithm can access the class only via the \emph{consistent oracle} -- an oracle, that, at any moment, can give a function from the class that agrees with all examples seen so far.…

机器学习 · 计算机科学 2024-02-08 Alexander Kozachinskiy , Tomasz Steifer

In this paper, we study a variant of the framework of online learning using expert advice with limited/bandit feedback. We consider each expert as a learning entity, seeking to more accurately reflecting certain real-world applications. In…

机器学习 · 计算机科学 2017-02-21 Adish Singla , Hamed Hassani , Andreas Krause

We study the problem of learning classification functions from noiseless training samples, under the assumption that the decision boundary is of a certain regularity. We establish universal lower bounds for this estimation problem, for…

泛函分析 · 数学 2021-12-28 Philipp Petersen , Felix Voigtlaender

We study the compute-optimal trade-off between model and training data set sizes for large neural networks. Our result suggests a linear relation similar to that supported by the empirical analysis of chinchilla. While that work studies…

机器学习 · 计算机科学 2023-10-20 Hong Jun Jeon , Benjamin Van Roy

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…

机器学习 · 计算机科学 2016-01-28 Elad Hazan , Tomer Koren

We study algorithms using randomized value functions for exploration in reinforcement learning. This type of algorithms enjoys appealing empirical performance. We show that when we use 1) a single random seed in each episode, and 2) a…

机器学习 · 计算机科学 2022-10-14 Zhihan Xiong , Ruoqi Shen , Qiwen Cui , Maryam Fazel , Simon S. Du

We establish a relationship between the online mistake-bound model of learning and resource-bounded dimension. This connection is combined with the Winnow algorithm to obtain new results about the density of hard sets under adaptive…

计算复杂性 · 计算机科学 2007-05-23 John M. Hitchcock

This paper studies the problem of learning an unknown function $f$ from given data about $f$. The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data. There are numerous settings…

机器学习 · 计算机科学 2023-06-27 Peter Binev , Andrea Bonito , Ronald DeVore , Guergana Petrova

Motivated by applications in online bidding and sleeping bandits, we examine the problem of contextual bandits with cross learning, where the learner observes the loss associated with the action across all possible contexts, not just the…

机器学习 · 计算机科学 2025-01-27 Ruiyuan Huang , Zengfeng Huang

Laws of large numbers guarantee that given a large enough sample from some population, the measure of any fixed sub-population is well-estimated by its frequency in the sample. We study laws of large numbers in sampling processes that can…

机器学习 · 计算机科学 2021-01-25 Noga Alon , Omri Ben-Eliezer , Yuval Dagan , Shay Moran , Moni Naor , Eylon Yogev

We study the effectiveness of stochastic side information in deterministic online learning scenarios. We propose a forecaster to predict a deterministic sequence where its performance is evaluated against an expert class. We assume that…

机器学习 · 计算机科学 2023-03-13 Junzhang Jia , Xuetong Wu , Jingge Zhu , Jamie Evans

In this paper, we study differentially private online learning problems in a stochastic environment under both bandit and full information feedback. For differentially private stochastic bandits, we propose both UCB and Thompson…

机器学习 · 计算机科学 2024-05-31 Bingshan Hu , Zhiming Huang , Nishant A. Mehta , Nidhi Hegde

We study unconstrained Online Linear Optimization with Lipschitz losses. Motivated by the pursuit of instance optimality, we propose a new algorithm that simultaneously achieves ($i$) the AdaGrad-style second order gradient adaptivity; and…

机器学习 · 计算机科学 2024-02-23 Zhiyu Zhang , Heng Yang , Ashok Cutkosky , Ioannis Ch. Paschalidis

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…

机器学习 · 计算机科学 2020-06-30 Vladimir A. Kobzar , Robert V. Kohn , Zhilei Wang

We study online learning in the random-order model, where the multiset of loss functions is chosen adversarially but revealed in a uniformly random order. By extending the batch-to-online transformation of Dong and Yoshida (2023), we show…

机器学习 · 统计学 2026-05-11 Shinsaku Sakaue , Yuichi Yoshida

We develop a form Thompson sampling for online learning under full feedback - also known as prediction with expert advice - where the learner's prior is defined over the space of an adversary's future actions, rather than the space of…

机器学习 · 计算机科学 2025-09-23 Alexander Terenin , Jeffrey Negrea

We consider the problem of learning a target function corresponding to a deep, extensive-width, non-linear neural network with random Gaussian weights. We consider the asymptotic limit where the number of samples, the input dimension and…

机器学习 · 统计学 2023-09-07 Hugo Cui , Florent Krzakala , Lenka Zdeborová