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We study the problem of differentially private query release assisted by access to public data. In this problem, the goal is to answer a large class $\mathcal{H}$ of statistical queries with error no more than $\alpha$ using a combination…

机器学习 · 计算机科学 2020-04-24 Raef Bassily , Albert Cheu , Shay Moran , Aleksandar Nikolov , Jonathan Ullman , Zhiwei Steven Wu

We study the query complexity of Bayesian Private Learning: a learner wishes to locate a random target within an interval by submitting queries, in the presence of an adversary who observes all of her queries but not the responses. How many…

机器学习 · 计算机科学 2019-11-19 Kuang Xu

Algorithms such as Differentially Private SGD enable training machine learning models with formal privacy guarantees. However, there is a discrepancy between the protection that such algorithms guarantee in theory and the protection they…

We show new lower bounds on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer large sets of counting queries. A counting query on a database $D \in (\{0,1\}^d)^n$ has the form "What…

密码学与安全 · 计算机科学 2018-10-25 Mark Bun , Jonathan Ullman , Salil Vadhan

We present a private learner for halfspaces over an arbitrary finite domain $X\subset \mathbb{R}^d$ with sample complexity $mathrm{poly}(d,2^{\log^*|X|})$. The building block for this learner is a differentially private algorithm for…

机器学习 · 计算机科学 2019-03-01 Amos Beimel , Shay Moran , Kobbi Nissim , Uri Stemmer

We initiate the study of differentially private learning in the proportional dimensionality regime, in which the number of data samples $n$ and problem dimension $d$ approach infinity at rates proportional to one another, meaning that…

机器学习 · 计算机科学 2025-02-20 Cynthia Dwork , Pranay Tankala , Linjun Zhang

This work explores the connection between differential privacy (DP) and online learning in the context of PAC list learning. In this setting, a $k$-list learner outputs a list of $k$ potential predictions for an instance $x$ and incurs a…

机器学习 · 计算机科学 2025-06-17 Steve Hanneke , Shay Moran , Hilla Schefler , Iska Tsubari

Differential privacy (DP) is an essential technique for privacy-preserving. It was found that a large model trained for privacy preserving performs worse than a smaller model (e.g. ResNet50 performs worse than ResNet18). To better…

机器学习 · 计算机科学 2021-11-30 Yinchen Shen , Zhiguo Wang , Ruoyu Sun , Xiaojing Shen

Hypothesis testing plays a central role in statistical inference, and is used in many settings where privacy concerns are paramount. This work answers a basic question about privately testing simple hypotheses: given two distributions $P$…

数据结构与算法 · 计算机科学 2019-04-04 Clément L. Canonne , Gautam Kamath , Audra McMillan , Adam Smith , Jonathan Ullman

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

机器学习 · 计算机科学 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

We study the problem of multiclass PAC learning with bandit feedback in the realizable setting. In this framework, there is an unknown data distribution over an instance space $\mathcal{X}$ and a label space $\mathcal{Y}$, as in classical…

机器学习 · 统计学 2026-05-27 Steve Hanneke , Qinglin Meng , Shay Moran , Amirreza Shaeiri

For scalable machine learning on large data sets, subsampling a representative subset is a common approach for efficient model training. This is often achieved through importance sampling, whereby informative data points are sampled more…

密码学与安全 · 计算机科学 2025-03-31 Dominik Fay , Sebastian Mair , Jens Sjölund

Learning an unknown $n$-qubit quantum state $\rho$ is a fundamental challenge in quantum computing. Information-theoretically, it is known that tomography requires exponential in $n$ many copies of $\rho$ to estimate it up to trace…

量子物理 · 物理学 2021-02-16 Srinivasan Arunachalam , Yihui Quek , John Smolin

We give new characterizations of the sample complexity of answering linear queries (statistical queries) in the local and central models of differential privacy: *In the non-interactive local model, we give the first approximate…

数据结构与算法 · 计算机科学 2019-11-20 Alexander Edmonds , Aleksandar Nikolov , Jonathan Ullman

The increased use of differential privacy (DP) has allowed the sharing of large amounts of data while reducing the risk of disclosure of sensitive information at the individual level. However, the noise introduced by DP methods makes…

统计方法学 · 统计学 2026-04-29 Jordan Awan , Xi Chen , Roberto Molinari

We consider the problem of Bayesian learning on sensitive datasets and present two simple but somewhat surprising results that connect Bayesian learning to "differential privacy:, a cryptographic approach to protect individual-level privacy…

机器学习 · 统计学 2015-04-14 Yu-Xiang Wang , Stephen E. Fienberg , Alex Smola

Contrastive learning is a highly successful technique for learning representations of data from labeled tuples, specifying the distance relations within the tuple. We study the sample complexity of contrastive learning, i.e. the minimum…

机器学习 · 计算机科学 2023-12-04 Noga Alon , Dmitrii Avdiukhin , Dor Elboim , Orr Fischer , Grigory Yaroslavtsev

In machine learning, classification models need to be trained in order to predict class labels. When the training data contains personal information about individuals, collecting training data becomes difficult due to privacy concerns.…

机器学习 · 计算机科学 2019-05-06 Emre Yilmaz , Mohammad Al-Rubaie , J. Morris Chang

We develop differentially private hypothesis testing methods for the small sample regime. Given a sample $\cal D$ from a categorical distribution $p$ over some domain $\Sigma$, an explicitly described distribution $q$ over $\Sigma$, some…

数据结构与算法 · 计算机科学 2017-06-08 Bryan Cai , Constantinos Daskalakis , Gautam Kamath

In this paper, we study the problem of PAC learning halfspaces in the non-interactive local differential privacy model (NLDP). To breach the barrier of exponential sample complexity, previous results studied a relaxed setting where the…

机器学习 · 计算机科学 2022-09-20 Jinyan Su , Jinhui Xu , Di Wang