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Sufficient statistic perturbation (SSP) is a widely used method for differentially private linear regression. SSP adopts a data-independent approach where privacy noise from a simple distribution is added to sufficient statistics. However,…

Machine Learning · Computer Science 2024-05-27 Cecilia Ferrando , Daniel Sheldon

Logistic regression (LR) is a widely used classification method for modeling binary outcomes in many medical data classification tasks. Research that collects and combines datasets from various data custodians and jurisdictions can…

Machine Learning · Computer Science 2021-05-17 Ali Reza Ghavamipour , Fatih Turkmen , Xiaoqian Jian

Increasing interest in privacy-preserving machine learning has led to new and evolved approaches for generating private synthetic data from undisclosed real data. However, mechanisms of privacy preservation can significantly reduce the…

Machine Learning · Statistics 2022-05-23 Sahra Ghalebikesabi , Harrison Wilde , Jack Jewson , Arnaud Doucet , Sebastian Vollmer , Chris Holmes

The regression of multiple inter-connected sequence data is a problem in various disciplines. Formally, we name the regression problem of multiple inter-connected data entities as the "dynamic network regression" in this paper. Within the…

Machine Learning · Computer Science 2020-10-19 Yixin Chen , Lin Meng , Jiawei Zhang

This work is motivated by analyses of longitudinal data collected from participants in the Quebec Longitudinal Study of Child Development (QLSCD) and the Quebec Newborn Twin Study (QNTS) to identify important genetic predictors for…

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

A major challenge for machine learning is increasing the availability of data while respecting the privacy of individuals. Here we combine the provable privacy guarantees of the differential privacy framework with the flexibility of…

Machine Learning · Statistics 2019-01-18 Michael Thomas Smith , Max Zwiessele , Neil D. Lawrence

Estimating causal effects from observational data is essential in fields such as medicine, economics and social sciences, where privacy concerns are paramount. We propose a general, model-agnostic framework for differentially private…

Machine Learning · Computer Science 2026-02-02 Christian Janos Lebeda , Mathieu Even , Aurélien Bellet , Julie Josse

We study private prediction where differential privacy is achieved by adding noise to the outputs of a non-private model. Existing methods rely on noise proportional to the global sensitivity of the model, often resulting in sub-optimal…

Genome-Wide Association Studies are typically conducted using linear models to find genetic variants associated with common diseases. In these studies, association testing is done on a variant-by-variant basis, possibly missing out on…

In this paper, we study norm-based regularization methods for neural networks. We compare existing penalization approaches and introduce two regularization strategies that extend classical ridge- and lasso-type penalties to neural network…

Machine Learning · Statistics 2026-05-04 Muhammad Qasim , Farrukh Javed

A recently proposed scheme utilizing local noise addition and matrix masking enables data collection while protecting individual privacy from all parties, including the central data manager. Statistical analysis of such privacy-preserved…

Methodology · Statistics 2026-02-24 Linh H Nghiem , Aidong A. Ding , Samuel Wu

The wide-spread availability of rich data has fueled the growth of machine learning applications in numerous domains. However, growth in domains with highly-sensitive data (e.g., medical) is largely hindered as the private nature of data…

Machine Learning · Computer Science 2021-03-16 Dingfan Chen , Tribhuvanesh Orekondy , Mario Fritz

We aim at analyzing geostatistical and areal data observed over irregularly shaped spatial domains and having a distribution within the exponential family. We propose a generalized additive model that allows to account for spatially-varying…

Methodology · Statistics 2016-04-22 Matthieu Wilhelm , Laura M. Sangalli

As genomic research has grown increasingly popular in recent years, dataset sharing has remained limited due to privacy concerns. This limitation hinders the reproducibility and validation of research outcomes, both of which are essential…

Cryptography and Security · Computer Science 2025-04-02 Yuzhou Jiang , Tianxi Ji , Erman Ayday

We develop a penalized likelihood estimation framework to estimate the structure of Gaussian Bayesian networks from observational data. In contrast to recent methods which accelerate the learning problem by restricting the search space, our…

Methodology · Statistics 2015-12-24 Bryon Aragam , Qing Zhou

Classical penalized likelihood regression problems deal with the case that the independent variables data are known exactly. In practice, however, it is common to observe data with incomplete covariate information. We are concerned with a…

Methodology · Statistics 2010-08-04 Xiwen Ma , Bin Dai , Ronald Klein , Barbara E. K. Klein , Kristine E. Lee , Grace Wahba

The objective of a genome-wide association study (GWAS) is to associate subsequences of individuals' genomes to the observable characteristics called phenotypes (e.g., high blood pressure). Motivated by the GWAS problem, in this paper we…

Information Theory · Computer Science 2020-10-15 Behrooz Tahmasebi , Mohammad Ali Maddah-Ali , Seyed Abolfazl Motahari

To understand how genetic variants in human genomes manifest in phenotypes -- traits like height or diseases like asthma -- geneticists have sequenced and measured hundreds of thousands of individuals. Geneticists use this data to build…

Machine Learning · Computer Science 2025-07-01 Alan N. Amin , Andres Potapczynski , Andrew Gordon Wilson

Differential privacy is concerned about the prediction quality while measuring the privacy impact on individuals whose information is contained in the data. We consider differentially private risk minimization problems with regularizers…

Machine Learning · Computer Science 2019-05-14 K S Sesh Kumar , Marc Peter Deisenroth
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