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This work shows how to privately and more accurately estimate Euclidean distance between pairs of vectors. Input vectors $x$ and $y$ are mapped to differentially private sketches $x'$ and $y'$, from which one can estimate the distance…

Data Structures and Algorithms · Computer Science 2022-03-23 Nina Mesing Stausholm

We consider the problem of multiclass transductive online learning when the number of labels can be unbounded. Previous works by Ben-David et al. [1997] and Hanneke et al. [2023b] only consider the case of binary and finite label spaces,…

Machine Learning · Computer Science 2024-11-05 Steve Hanneke , Vinod Raman , Amirreza Shaeiri , Unique Subedi

Pairwise learning is essential in machine learning, especially for problems involving loss functions defined on pairs of training examples. Online gradient descent (OGD) algorithms have been proposed to handle online pairwise learning,…

Machine Learning · Computer Science 2023-10-11 Hilal AlQuabeh , Bhaskar Mukhoty , Bin Gu

We study the problem of privately estimating the parameters of $d$-dimensional Gaussian Mixture Models (GMMs) with $k$ components. For this, we develop a technique to reduce the problem to its non-private counterpart. This allows us to…

Machine Learning · Statistics 2023-06-09 Jamil Arbas , Hassan Ashtiani , Christopher Liaw

Recent work on Renyi Differential Privacy has shown the feasibility of applying differential privacy to deep learning tasks. Despite their promise, however, differentially private deep networks often lag far behind their non-private…

Machine Learning · Computer Science 2020-09-08 Jaewoo Lee , Daniel Kifer

Differential privacy (DP) is crucial for safeguarding sensitive client information in federated learning (FL), yet traditional DP-FL methods rely predominantly on fixed gradient clipping thresholds. Such static clipping neglects significant…

Cryptography and Security · Computer Science 2026-03-26 Hao Zhou , Siqi Cai , Hua Dai , Geng Yang , Jing Luo , Hui Cai

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…

Machine Learning · Computer Science 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

Machine Learning has made remarkable progress in a wide range of fields. In many scenarios, learning is performed on datasets involving sensitive information, in which privacy protection is essential for learning algorithms. In this work,…

Machine Learning · Computer Science 2025-03-18 Bo Li , Wei Wang , Peng Ye

In this work, we aim to characterize the statistical complexity of realizable regression both in the PAC learning setting and the online learning setting. Previous work had established the sufficiency of finiteness of the fat shattering…

Machine Learning · Computer Science 2024-10-04 Idan Attias , Steve Hanneke , Alkis Kalavasis , Amin Karbasi , Grigoris Velegkas

Models need to be trained with privacy-preserving learning algorithms to prevent leakage of possibly sensitive information contained in their training data. However, canonical algorithms like differentially private stochastic gradient…

Machine Learning · Computer Science 2022-10-06 Yannis Cattan , Christopher A. Choquette-Choo , Nicolas Papernot , Abhradeep Thakurta

We consider learning problems where the training set consists of two types of examples: private and public. The goal is to design a learning algorithm that satisfies differential privacy only with respect to the private examples. This…

Machine Learning · Computer Science 2019-10-28 Noga Alon , Raef Bassily , Shay Moran

Online strategic classification studies settings in which agents strategically modify their features to obtain favorable predictions. For example, given a classifier that determines loan approval based on credit scores, applicants may open…

Machine Learning · Computer Science 2026-02-09 Chase Hutton , Adam Melrod , Han Shao

We investigate the hardness of online reinforcement learning in fixed horizon, sparse linear Markov decision process (MDP), with a special focus on the high-dimensional regime where the ambient dimension is larger than the number of…

Machine Learning · Computer Science 2021-02-11 Botao Hao , Tor Lattimore , Csaba Szepesvári , Mengdi Wang

Cross-attention has emerged as a cornerstone module in modern artificial intelligence, underpinning critical applications such as retrieval-augmented generation (RAG), system prompting, and guided stable diffusion. However, this is a rising…

Machine Learning · Computer Science 2026-01-26 Yekun Ke , Yingyu Liang , Zhenmei Shi , Zhao Song , Jiahao Zhang

Data-driven algorithm design, that is, choosing the best algorithm for a specific application, is a crucial problem in modern data science. Practitioners often optimize over a parameterized algorithm family, tuning parameters based on…

Machine Learning · Computer Science 2018-10-23 Maria-Florina Balcan , Travis Dick , Ellen Vitercik

In Semi-Supervised Semi-Private (SP) learning, the learner has access to both public unlabelled and private labelled data. We propose a computationally efficient algorithm that, under mild assumptions on the data, provably achieves…

Machine Learning · Computer Science 2023-06-08 Francesco Pinto , Yaxi Hu , Fanny Yang , Amartya Sanyal

We revisit one of the most basic and widely applicable techniques in the literature of differential privacy - the sparse vector technique [Dwork et al., STOC 2009]. This simple algorithm privately tests whether the value of a given query on…

Machine Learning · Computer Science 2020-11-17 Haim Kaplan , Yishay Mansour , Uri Stemmer

Online prediction from experts is a fundamental problem in machine learning and several works have studied this problem under privacy constraints. We propose and analyze new algorithms for this problem that improve over the regret bounds of…

Machine Learning · Computer Science 2023-07-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

In many quantum tasks, there is an unknown quantum object that one wishes to learn. An online strategy for this task involves adaptively refining a hypothesis to reproduce such an object or its measurement statistics. A common evaluation…

Quantum Physics · Physics 2025-11-25 Akshay Bansal , Ian George , Soumik Ghosh , Jamie Sikora , Alice Zheng

We provide an improved analysis of standard differentially private gradient descent for linear regression under the squared error loss. Under modest assumptions on the input, we characterize the distribution of the iterate at each time…

Machine Learning · Computer Science 2024-02-22 Gavin Brown , Krishnamurthy Dvijotham , Georgina Evans , Daogao Liu , Adam Smith , Abhradeep Thakurta