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Bayesian computation of high dimensional linear regression models with a popular Gaussian scale mixture prior distribution using Markov Chain Monte Carlo (MCMC) or its variants can be extremely slow or completely prohibitive due to the…

Methodology · Statistics 2021-05-12 Rajarshi Guhaniyogi , Aaron Scheffler

We give the first L_1-sketching algorithm for integer vectors which produces nearly optimal sized sketches in nearly linear time. This answers the first open problem in the list of open problems from the 2006 IITK Workshop on Algorithms for…

Data Structures and Algorithms · Computer Science 2009-04-15 Jelani Nelson , David P. Woodruff

Linear regression is a classic method of data analysis. In recent years, sketching -- a method of dimension reduction using random sampling, random projections, or both -- has gained popularity as an effective computational approximation…

Machine Learning · Statistics 2020-08-04 Jocelyn T. Chi , Ilse C. F. Ipsen

We study model personalization under user-level differential privacy (DP) in the shared representation framework. In this problem, there are $n$ users whose data is statistically heterogeneous, and their optimal parameters share an unknown…

Machine Learning · Computer Science 2025-06-25 Conor Snedeker , Xinyu Zhou , Raef Bassily

This work addresses the problem of revenue maximization in a repeated, unlimited supply item-pricing auction while preserving buyer privacy. We present a novel algorithm that provides differential privacy with respect to the buyer's input…

Computer Science and Game Theory · Computer Science 2023-10-31 Joon Suk Huh

We propose a deep hashing framework for sketch retrieval that, for the first time, works on a multi-million scale human sketch dataset. Leveraging on this large dataset, we explore a few sketch-specific traits that were otherwise…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Peng Xu , Yongye Huang , Tongtong Yuan , Kaiyue Pang , Yi-Zhe Song , Tao Xiang , Timothy M. Hospedales , Zhanyu Ma , Jun Guo

Linear $L_1$-regularized models have remained one of the simplest and most effective tools in data science. Over the past decade, screening rules have risen in popularity as a way to eliminate features when producing the sparse regression…

Machine Learning · Computer Science 2025-02-27 Amol Khanna , Fred Lu , Edward Raff

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

Linear sketching and recovery of sparse vectors with randomly constructed sparse matrices has numerous applications in several areas, including compressive sensing, data stream computing, graph sketching, and combinatorial group testing.…

Numerical Analysis · Mathematics 2014-02-07 Bubacarr Bah , Luca Baldassarre , Volkan Cevher

Numerical vector aggregation plays a crucial role in privacy-sensitive applications, such as distributed gradient estimation in federated learning and statistical analysis of key-value data. In the context of local differential privacy,…

Cryptography and Security · Computer Science 2023-04-11 Shaowei Wang , Jin Li , Yuntong Li , Jin Li , Wei Yang , Hongyang Yan

We propose a differentially private data generation paradigm using random feature representations of kernel mean embeddings when comparing the distribution of true data with that of synthetic data. We exploit the random feature…

Machine Learning · Computer Science 2021-06-02 Frederik Harder , Kamil Adamczewski , Mijung Park

We initiate a systematic study of algorithms that are both differentially private and run in sublinear time for several problems in which the goal is to estimate natural graph parameters. Our main result is a differentially-private…

Data Structures and Algorithms · Computer Science 2022-03-15 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee

Secure sketch produces public information of its input $w$ without revealing it, yet, allows the exact recovery of $w$ given another value $w'$ that is close to $w$. Therefore, it can be used to reliably reproduce any error-prone secret…

Information Theory · Computer Science 2020-01-22 Yen-Lung Lai

We study the statistical complexity of private linear regression under an unknown, potentially ill-conditioned covariate distribution. Somewhat surprisingly, under privacy constraints the intrinsic complexity is \emph{not} captured by the…

Machine Learning · Computer Science 2025-11-06 Fan Chen , Jiachun Li , Alexander Rakhlin , David Simchi-Levi

Given an undirected, weighted $n$-vertex graph $G = (V, E, w)$, a Gomory-Hu tree $T$ is a weighted tree on $V$ such that for any pair of distinct vertices $s, t \in V$, the Min-$s$-$t$-Cut on $T$ is also a Min-$s$-$t$-Cut on $G$. Computing…

Data Structures and Algorithms · Computer Science 2024-08-06 Anders Aamand , Justin Y. Chen , Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka , Sandeep Silwal , Yinzhan Xu

Linear regression is a fundamental tool for statistical analysis. This has motivated the development of linear regression methods that also satisfy differential privacy and thus guarantee that the learned model reveals little about any one…

Machine Learning · Computer Science 2023-03-20 Kareem Amin , Matthew Joseph , Mónica Ribero , Sergei Vassilvitskii

Privacy-preserving machine learning is learning from sensitive datasets that are typically distributed across multiple data owners. Private machine learning is a remarkable challenge in a large number of realistic scenarios where no trusted…

Cryptography and Security · Computer Science 2019-01-29 Mohamed Nassar

Hierarchical clustering is a fundamental unsupervised machine learning task with the aim of organizing data into a hierarchy of clusters. Many applications of hierarchical clustering involve sensitive user information, therefore motivating…

Data Structures and Algorithms · Computer Science 2025-04-23 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang , Samson Zhou

Integer data is typically made differentially private by adding noise from a Discrete Laplace (or Discrete Gaussian) distribution. We study the setting where differential privacy of a counting query is achieved using bit-wise randomized…

Information Theory · Computer Science 2023-11-17 David Rasmussen Lolck , Rasmus Pagh

Dimensionality reduction via linear sketching is a powerful and widely used technique, but it is known to be vulnerable to adversarial inputs. We study the black-box adversarial setting, where a fixed, hidden sketching matrix $A \in R^{k…

Machine Learning · Computer Science 2025-09-23 Sara Ahmadian , Edith Cohen , Uri Stemmer