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Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

Cryptography and Security · Computer Science 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

Differentially private (DP) linear regression has received significant attention in the recent theoretical literature, with several approaches proposed to improve error rates. Our work considers the popular high-dimensional regime with…

Machine Learning · Statistics 2026-04-28 Simone Bombari , Jialei Luo , Inbar Seroussi , Marco Mondelli

Private selection mechanisms (e.g., Report Noisy Max, Sparse Vector) are fundamental primitives of differentially private (DP) data analysis with wide applications to private query release, voting, and hyperparameter tuning. Recent work…

Cryptography and Security · Computer Science 2024-02-13 Antti Koskela , Rachel Redberg , Yu-Xiang Wang

Differentially private algorithms for answering sets of predicate counting queries on a sensitive database have many applications. Organizations that collect individual-level data, such as statistical agencies and medical institutions, use…

Databases · Computer Science 2018-08-13 Ryan McKenna , Gerome Miklau , Michael Hay , Ashwin Machanavajjhala

Differentially private federated learning is crucial for maintaining privacy in distributed environments. This paper investigates the challenges of high-dimensional estimation and inference under the constraints of differential privacy.…

Machine Learning · Statistics 2024-04-26 Zhe Zhang , Ryumei Nakada , Linjun Zhang

Private data analysis suffers a costly curse of dimensionality. However, the data often has an underlying low-dimensional structure. For example, when optimizing via gradient descent, the gradients often lie in or near a low-dimensional…

Cryptography and Security · Computer Science 2021-08-12 Vikrant Singhal , Thomas Steinke

The Metropolis-Hastings (MH) algorithm is one of the most widely used Markov Chain Monte Carlo schemes for generating samples from Bayesian posterior distributions. The algorithm is asymptotically exact, flexible and easy to implement.…

Methodology · Statistics 2026-03-10 Estevão Prado , Christopher Nemeth , Chris Sherlock

We develop a privatised stochastic variational inference method for Latent Dirichlet Allocation (LDA). The iterative nature of stochastic variational inference presents challenges: multiple iterations are required to obtain accurate…

Machine Learning · Statistics 2018-12-05 Mijung Park , James Foulds , Kamalika Chaudhuri , Max Welling

Many algorithms have been developed to estimate probability distributions subject to differential privacy (DP): such an algorithm takes as input independent samples from a distribution and estimates the density function in a way that is…

Cryptography and Security · Computer Science 2024-12-17 Albert Cheu , Debanuj Nayak

Privacy issues of recommender systems have become a hot topic for the society as such systems are appearing in every corner of our life. In contrast to the fact that many secure multi-party computation protocols have been proposed to…

Cryptography and Security · Computer Science 2017-03-13 Jun Wang , Qiang Tang

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

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

We study the problem of estimating high dimensional models with underlying sparse structures while preserving the privacy of each training example. We develop a differentially private high-dimensional sparse learning framework using the…

Machine Learning · Statistics 2019-09-16 Lingxiao Wang , Quanquan Gu

Programmatically generating tight differential privacy (DP) bounds is a hard problem. Two core challenges are (1) finding expressive, compact, and efficient encodings of the distributions of DP algorithms, and (2) state space explosion…

Cryptography and Security · Computer Science 2024-10-02 Lisa Oakley , Steven Holtzen , Alina Oprea

Differentially private (DP) optimization is the standard paradigm to learn large neural networks that are accurate and privacy-preserving. The computational cost for DP deep learning, however, is notoriously heavy due to the per-sample…

Machine Learning · Computer Science 2023-09-20 Zhiqi Bu , Yu-Xiang Wang , Sheng Zha , George Karypis

Differentially private data generation techniques have become a promising solution to the data privacy challenge -- it enables sharing of data while complying with rigorous privacy guarantees, which is essential for scientific progress in…

Cryptography and Security · Computer Science 2022-11-09 Dingfan Chen , Raouf Kerkouche , Mario Fritz

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

Mobile apps and location-based services generate large amounts of location data that can benefit research on traffic optimization, context-aware notifications and public health (e.g., spread of contagious diseases). To preserve individual…

Databases · Computer Science 2021-08-04 Sepanta Zeighami , Ritesh Ahuja , Gabriel Ghinita , Cyrus Shahabi

We study a pitfall in the typical workflow for differentially private machine learning. The use of differentially private learning algorithms in a "drop-in" fashion -- without accounting for the impact of differential privacy (DP) noise…

Cryptography and Security · Computer Science 2022-05-16 Wenxuan Bao , Luke A. Bauer , Vincent Bindschaedler

Training large neural networks with meaningful/usable differential privacy security guarantees is a demanding challenge. In this paper, we tackle this problem by revisiting the two key operations in Differentially Private Stochastic…

Machine Learning · Computer Science 2022-10-11 Hanshen Xiao , Jun Wan , Srinivas Devadas