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We identify fundamental tradeoffs between statistical utility and privacy under local models of privacy in which data is kept private even from the statistician, providing instance-specific bounds for private estimation and learning…

统计理论 · 数学 2020-10-01 John C. Duchi , Feng Ruan

We study the online learnability of hypothesis classes with respect to arbitrary, but bounded loss functions. No characterization of online learnability is known at this level of generality. We give a new scale-sensitive combinatorial…

机器学习 · 计算机科学 2024-02-12 Vinod Raman , Unique Subedi , Ambuj Tewari

Label differential privacy (DP) is designed for learning problems involving private labels and public features. While various methods have been proposed for learning under label DP, the theoretical limits remain largely unexplored. In this…

机器学习 · 计算机科学 2025-03-04 Puning Zhao , Chuan Ma , Li Shen , Shaowei Wang , Rongfei Fan

Online learning is a model of machine learning where the learner is trained on sequential feedback. We investigate worst-case error for the online learning of real functions that have certain smoothness constraints. Suppose that…

机器学习 · 计算机科学 2025-02-25 Weian Xie

In this article we give several new results on the complexity of algorithms that learn Boolean functions from quantum queries and quantum examples. Hunziker et al. conjectured that for any class C of Boolean functions, the number of quantum…

量子物理 · 物理学 2007-05-23 Alp Atici , Rocco A. Servedio

Many reinforcement learning applications involve the use of data that is sensitive, such as medical records of patients or financial information. However, most current reinforcement learning methods can leak information contained within the…

机器学习 · 计算机科学 2019-02-04 Tengyang Xie , Philip S. Thomas , Gerome Miklau

Learning of user preferences, as represented by, for example, Conditional Preference Networks (CP-nets), has become a core issue in AI research. Recent studies investigate learning of CP-nets from randomly chosen examples or from membership…

人工智能 · 计算机科学 2019-02-06 Eisa Alanazi , Malek Mouhoub , Sandra Zilles

In many problems in machine learning and operations research, we need to optimize a function whose input is a random variable or a probability density function, i.e. to solve optimization problems in an infinite dimensional space. On the…

机器学习 · 计算机科学 2019-02-11 Changbo Zhu , Huan Xu

We demonstrate a compactness result holding broadly across supervised learning with a general class of loss functions: Any hypothesis class $H$ is learnable with transductive sample complexity $m$ precisely when all of its finite…

机器学习 · 计算机科学 2024-10-31 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

The advice complexity of an online problem is a measure of how much knowledge of the future an online algorithm needs in order to achieve a certain competitive ratio. Using advice complexity, we define the first online complexity class,…

数据结构与算法 · 计算机科学 2016-05-26 Joan Boyar , Lene M. Favrholdt , Christian Kudahl , Jesper W. Mikkelsen

We study the problem of online conditional distribution estimation with \emph{unbounded} label sets under local differential privacy. Let $\mathcal{F}$ be a distribution-valued function class with unbounded label set. We aim at estimating…

机器学习 · 计算机科学 2024-02-02 Jin Sima , Changlong Wu , Olgica Milenkovic , Wojciech Szpankowski

We revisit online binary classification by shifting the focus from competing with the best-in-class binary loss to competing against relaxed benchmarks that capture smoothed notions of optimality. Instead of measuring regret relative to the…

机器学习 · 统计学 2025-04-16 Omar Montasser , Abhishek Shetty , Nikita Zhivotovskiy

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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 2019-10-30 Jacob Abernethy , Young Hun Jung , Chansoo Lee , Audra McMillan , Ambuj Tewari

Decentralized Online Learning (online learning in decentralized networks) attracts more and more attention, since it is believed that Decentralized Online Learning can help the data providers cooperatively better solve their online problems…

机器学习 · 计算机科学 2019-05-30 Yawei Zhao , Chen Yu , Peilin Zhao , Hanlin Tang , Shuang Qiu , Ji Liu

We present a framework and analysis of consistent binary classification for complex and non-decomposable performance metrics such as the F-measure and the Jaccard measure. The proposed framework is general, as it applies to both batch and…

机器学习 · 统计学 2018-02-13 Bowei Yan , Oluwasanmi Koyejo , Kai Zhong , Pradeep Ravikumar

Learning a classifier from private data collected by multiple parties is an important problem that has many potential applications. How can we build an accurate and differentially private global classifier by combining locally-trained…

机器学习 · 计算机科学 2016-02-12 Jihun Hamm , Paul Cao , Mikhail Belkin

Offline reinforcement learning (RL) learns effective policies from a static target dataset. The performance of state-of-the-art offline RL algorithms notwithstanding, it relies on the size of the target dataset, and it degrades if limited…

机器学习 · 计算机科学 2026-02-10 Weiqin Chen , Xinjie Zhang , Sandipan Mishra , Santiago Paternain

This paper revisits the problem of learning a k-CNF Boolean function from examples in the context of online learning under the logarithmic loss. In doing so, we give a Bayesian interpretation to one of Valiant's celebrated PAC learning…

机器学习 · 计算机科学 2014-03-28 Joel Veness , Marcus Hutter

$ \newcommand{\eps}{\varepsilon} $In learning theory, the VC dimension of a concept class $C$ is the most common way to measure its "richness." In the PAC model $$ \Theta\Big(\frac{d}{\eps} + \frac{\log(1/\delta)}{\eps}\Big) $$ examples are…

量子物理 · 物理学 2017-06-08 Srinivasan Arunachalam , Ronald de Wolf