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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

While ERM suffices to attain near-optimal generalization error in the stochastic learning setting, this is not known to be the case in the online learning setting, where algorithms for general concept classes rely on computationally…

机器学习 · 计算机科学 2023-07-11 Angelos Assos , Idan Attias , Yuval Dagan , Constantinos Daskalakis , Maxwell Fishelson

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

The empirical risk minimization (ERM) principle has been highly impactful in machine learning, leading both to near-optimal theoretical guarantees for ERM-based learning algorithms as well as driving many of the recent empirical successes…

机器学习 · 计算机科学 2025-02-25 Constantinos Daskalakis , Noah Golowich

Empirical Risk Minimization (ERM) is a foundational framework for supervised learning but primarily optimizes average-case performance, often neglecting fairness and robustness considerations. Tilted Empirical Risk Minimization (TERM)…

机器学习 · 统计学 2025-09-19 Yigit E. Yildirim , Samet Demir , Zafer Dogan

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…

机器学习 · 计算机科学 2024-03-08 Karthik Sridharan , Seung Won Wilson Yoo

Algorithms for reinforcement learning (RL) in large state spaces crucially rely on supervised learning subroutines to estimate objects such as value functions or transition probabilities. Since only the simplest supervised learning problems…

机器学习 · 计算机科学 2025-02-13 Dhruv Rohatgi , Dylan J. Foster

Smoothed online learning has emerged as a popular framework to mitigate the substantial loss in statistical and computational complexity that arises when one moves from classical to adversarial learning. Unfortunately, for some spaces, it…

机器学习 · 统计学 2024-03-20 Adam Block , Alexander Rakhlin , Max Simchowitz

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…

机器学习 · 计算机科学 2021-06-28 Noah Golowich , Roi Livni

We resolve a 30-year-old open problem concerning the power of unlabeled data in online learning by tightly quantifying the gap between transductive and standard online learning. In the standard setting, the optimal mistake bound is…

机器学习 · 计算机科学 2025-12-16 Zachary Chase , Steve Hanneke , Shay Moran , Jonathan Shafer

In this paper, we study oracle-efficient algorithms for beyond worst-case analysis of online learning. We focus on two settings. First, the smoothed analysis setting of [RST11,HRS22] where an adversary is constrained to generating samples…

机器学习 · 计算机科学 2022-11-23 Nika Haghtalab , Yanjun Han , Abhishek Shetty , Kunhe Yang

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…

机器学习 · 计算机科学 2026-04-03 Shihao Shao , Cong Fang , Zhouchen Lin , Dacheng Tao

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

机器学习 · 计算机科学 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy

The Hybrid Online Learning Problem, where features are drawn i.i.d. from an unknown distribution but labels are generated adversarially, is a well-motivated setting positioned between statistical and fully-adversarial online learning. Prior…

机器学习 · 计算机科学 2026-03-06 Princewill Okoroafor , Robert Kleinberg , Michael P. Kim

We present new upper and lower bounds on the number of learner mistakes in the `transductive' online learning setting of Ben-David, Kushilevitz and Mansour (1997). This setting is similar to standard online learning, except that the…

机器学习 · 计算机科学 2023-12-01 Steve Hanneke , Shay Moran , Jonathan Shafer

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

统计理论 · 数学 2021-02-25 Gil Kur , Alexander Rakhlin

In order to circumvent statistical and computational hardness results in sequential decision-making, recent work has considered smoothed online learning, where the distribution of data at each time is assumed to have bounded likeliehood…

机器学习 · 统计学 2024-02-26 Adam Block , Alexander Rakhlin , Abhishek Shetty

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

机器学习 · 计算机科学 2026-03-02 Sajad Ashkezari

We revisit the question of reducing online learning to approximate optimization of the offline problem. In this setting, we give two algorithms with near-optimal performance in the full information setting: they guarantee optimal regret and…

机器学习 · 计算机科学 2018-04-24 Elad Hazan , Wei Hu , Yuanzhi Li , Zhiyuan Li
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