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In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

机器学习 · 计算机科学 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

机器学习 · 计算机科学 2019-03-26 Weihao Kong , Gregory Valiant

We study contextual online pricing with biased offline data. For the scalar price elasticity case, we identify the instance-dependent quantity $\delta^2$ that measures how far the offline data lies from the (unknown) online optimum. We show…

机器学习 · 计算机科学 2025-07-04 Yixuan Zhang , Ruihao Zhu , Qiaomin Xie

Online classification is a central problem in optimization, statistical learning and data science. Classical algorithms such as the perceptron offer efficient updates and finite mistake guarantees on linearly separable data, but they do not…

最优化与控制 · 数学 2025-09-25 Nam Ho-Nguyen , Fatma Kılınç-Karzan , Ellie Nguyen , Lingqing Shen

We study online learning in the adversarial injection model introduced by [Goel et al. 2017], where a stream of labeled examples is predominantly drawn i.i.d.\ from an unknown distribution $\mathcal{D}$, but may be interspersed with…

机器学习 · 计算机科学 2026-02-24 Ezra Edelman , Surbhi Goel

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

数据结构与算法 · 计算机科学 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

This paper revisits the online learning approach to inverse linear optimization studied by B\"armann et al. (2017), where the goal is to infer an unknown linear objective function of an agent from sequential observations of the agent's…

机器学习 · 计算机科学 2025-02-11 Shinsaku Sakaue , Han Bao , Taira Tsuchiya

We derive a tight generalization bound for quantum machine learning that is applicable to a wide range of supervised tasks, data, and models. Our bound is both efficiently computable and free of big-O notation. Furthermore, we point out…

量子物理 · 物理学 2025-10-29 Xin Wang , Rebing Wu

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

最优化与控制 · 数学 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

We investigate the problem of online convex optimization with unknown delays, in which the feedback of a decision arrives with an arbitrary delay. Previous studies have presented a delayed variant of online gradient descent (OGD), and…

机器学习 · 计算机科学 2021-03-23 Yuanyu Wan , Wei-Wei Tu , Lijun Zhang

In online binary classification under \emph{apple tasting} feedback, the learner only observes the true label if it predicts ``1". First studied by \cite{helmbold2000apple}, we revisit this classical partial-feedback setting and study…

机器学习 · 计算机科学 2024-06-21 Vinod Raman , Unique Subedi , Ananth Raman , Ambuj Tewari

Unsupervised domain adaptation aims to leverage labeled data from a source domain to learn a classifier for an unlabeled target domain. Among its many variants, open set domain adaptation (OSDA) is perhaps the most challenging, as it…

计算机视觉与模式识别 · 计算机科学 2020-03-11 Dongliang Chang , Aneeshan Sain , Zhanyu Ma , Yi-Zhe Song , Jun Guo

This paper discovers that the neural network with lower decision boundary (DB) variability has better generalizability. Two new notions, algorithm DB variability and $(\epsilon, \eta)$-data DB variability, are proposed to measure the…

机器学习 · 计算机科学 2023-12-27 Shiye Lei , Fengxiang He , Yancheng Yuan , Dacheng Tao

Online decision systems routinely operate under delayed feedback and order-sensitive (noncommutative) dynamics: actions affect which observations arrive, and in what sequence. Taking a Bregman divergence $D_\Phi$ as the loss benchmark, we…

机器学习 · 计算机科学 2025-11-18 Duo Yi

We investigate distributed online convex optimization with compressed communication, where $n$ learners connected by a network collaboratively minimize a sequence of global loss functions using only local information and compressed data…

机器学习 · 计算机科学 2026-01-12 Sifan Yang , Wenhao Yang , Wei Jiang , Lijun Zhang

This paper investigates the challenges of optimal online policy learning under missing data. State-of-the-art algorithms implicitly assume that rewards are always observable. I show that when rewards are missing at random, the Upper…

计量经济学 · 经济学 2025-07-29 Filippo Palomba

Online learning methods yield sequential regret bounds under minimal assumptions and provide in-expectation risk bounds for statistical learning. However, despite the apparent advantage of online guarantees over their statistical…

机器学习 · 计算机科学 2023-08-16 Dirk van der Hoeven , Nikita Zhivotovskiy , Nicolò Cesa-Bianchi

We design differentially private algorithms for the problem of online linear optimization in the full information and bandit settings with optimal $\tilde{O}(\sqrt{T})$ regret bounds. In the full-information setting, our results demonstrate…

机器学习 · 计算机科学 2017-06-15 Naman Agarwal , Karan Singh

We give tight statistical query (SQ) lower bounds for learnining halfspaces in the presence of Massart noise. In particular, suppose that all labels are corrupted with probability at most $\eta$. We show that for arbitrary $\eta \in…

机器学习 · 计算机科学 2022-01-25 Rajai Nasser , Stefan Tiegel

In this paper, we study the private and robust alignment of language models from a theoretical perspective by establishing upper bounds on the suboptimality gap in both offline and online settings. We consider preference labels subject to…

机器学习 · 计算机科学 2026-01-01 Wenqian Weng , Yi He , Xingyu Zhou