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In this paper, we present a differential privacy version of convex and nonconvex sparse classification approach. Based on alternating direction method of multiplier (ADMM) algorithm, we transform the solving of sparse problem into the…

Machine Learning · Statistics 2019-08-05 Puyu Wang , Hai Zhang

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

Statistics Theory · Mathematics 2012-01-11 Larry Wasserman , Shuheng Zhou

We develop theory for using heuristics to solve computationally hard problems in differential privacy. Heuristic approaches have enjoyed tremendous success in machine learning, for which performance can be empirically evaluated. However,…

Machine Learning · Computer Science 2018-11-20 Seth Neel , Aaron Roth , Zhiwei Steven Wu

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

Data Structures and Algorithms · Computer Science 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

Differential privacy is a modern approach in privacy-preserving data analysis to control the amount of information that can be inferred about an individual by querying a database. The most common techniques are based on the introduction of…

Cryptography and Security · Computer Science 2012-07-05 Catuscia Palamidessi , Marco Stronati

Differential privacy has recently emerged as the de facto standard for private data release. This makes it possible to provide strong theoretical guarantees on the privacy and utility of released data. While it is well-known how to release…

Databases · Computer Science 2012-03-14 Graham Cormode , Magda Procopiuc , Entong Shen , Divesh Srivastava , Ting Yu

Differentially private selection mechanisms offer strong privacy guarantees for queries aiming to identify the top-scoring element r from a finite set R, based on a dataset-dependent utility function. While selection queries are fundamental…

Machine Learning · Computer Science 2025-04-16 Iago Chaves , Victor Farias , Amanda Perez , Diego Mesquita , Javam Machado

Differential Privacy (DP) is a mathematical framework for releasing information with formal privacy guarantees. While numerous DP procedures have been developed for statistical analysis and machine learning, valid statistical inference…

Methodology · Statistics 2025-06-27 Ruyu Zhou , Fang Liu

This paper is motivated by applications of a Census Bureau interested in releasing aggregate socio-economic data about a large population without revealing sensitive information about any individual. The released information can be the…

Databases · Computer Science 2021-05-11 Ferdinando Fioretto , Pascal Van Hentenryck , Keyu Zhu

Differential privacy is a restriction on data processing algorithms that provides strong confidentiality guarantees for individual records in the data. However, research on proper statistical inference, that is, research on properly…

Cryptography and Security · Computer Science 2021-07-06 Joerg Drechsler , Ira Globus-Harris , Audra McMillan , Jayshree Sarathy , Adam Smith

We introduce an $(\epsilon, \delta)$-jointly differentially private algorithm for packing problems. Our algorithm not only achieves the optimal trade-off between the privacy parameter $\epsilon$ and the minimum supply requirement (up to…

Data Structures and Algorithms · Computer Science 2019-05-03 Zhiyi Huang , Xue Zhu

The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data…

Data Structures and Algorithms · Computer Science 2025-05-30 Rachel Cummings , Alessandro Epasto , Jieming Mao , Tamalika Mukherjee , Tingting Ou , Peilin Zhong

We consider the problem of designing and analyzing differentially private algorithms that can be implemented on {\em discrete} models of computation in {\em strict} polynomial time, motivated by known attacks on floating point…

Data Structures and Algorithms · Computer Science 2019-01-18 Victor Balcer , Salil Vadhan

We show that the `optimal' use of the parallel composition theorem corresponds to finding the size of the largest subset of queries that `overlap' on the data domain, a quantity we call the \emph{maximum overlap} of the queries. It has…

Cryptography and Security · Computer Science 2021-09-21 Josh Smith , Hassan Jameel Asghar , Gianpaolo Gioiosa , Sirine Mrabet , Serge Gaspers , Paul Tyler

The eligibility of various advanced quantum algorithms will be questioned if they can not guarantee privacy. To fill this knowledge gap, here we devise an efficient quantum differentially private (QDP) Lasso estimator to solve sparse…

Quantum Physics · Physics 2022-05-31 Yuxuan Du , Min-Hsiu Hsieh , Tongliang Liu , Shan You , Dacheng Tao

We present a sample- and time-efficient differentially private algorithm for ordinary least squares, with error that depends linearly on the dimension and is independent of the condition number of $X^\top X$, where $X$ is the design matrix.…

Machine Learning · Computer Science 2024-04-25 Gavin Brown , Jonathan Hayase , Samuel Hopkins , Weihao Kong , Xiyang Liu , Sewoong Oh , Juan C. Perdomo , Adam Smith

Differential privacy has become a popular privacy-preserving method in data analysis, query processing, and machine learning, which adds noise to the query result to avoid leaking privacy. Sensitivity, or the maximum impact of deleting or…

Databases · Computer Science 2023-04-20 Meifan Zhang , Xin Liu , Lihua Yin

Popular approaches to differential privacy, such as the Laplace and exponential mechanisms, calibrate randomised smoothing through global sensitivity of the target non-private function. Bounding such sensitivity is often a prohibitively…

Machine Learning · Computer Science 2017-06-12 Benjamin I. P. Rubinstein , Francesco Aldà

Differential privacy and sublinear algorithms are both rapidly emerging algorithmic themes in times of big data analysis. Although recent works have shown the existence of differentially private sublinear algorithms for many problems…

Data Structures and Algorithms · Computer Science 2025-01-15 Jeremiah Blocki , Hendrik Fichtenberger , Elena Grigorescu , Tamalika Mukherjee

Differential privacy is a leading protection setting, focused by design on individual privacy. Many applications, in medical / pharmaceutical domains or social networks, rather posit privacy at a group level, a setting we call integral…

Machine Learning · Statistics 2019-07-04 Hisham Husain , Zac Cranko , Richard Nock