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We provide computationally efficient, differentially private algorithms for the classical regression settings of Least Squares Fitting, Binary Regression and Linear Regression with unbounded covariates. Prior to our work, privacy…

Cryptography and Security · Computer Science 2022-02-24 Jason Milionis , Alkis Kalavasis , Dimitris Fotakis , Stratis Ioannidis

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

Machine Learning · Computer Science 2019-10-30 Garrett Bernstein , Daniel Sheldon

Genome-wide association studies(GWAS) have proven to be highly useful in revealing the genetic basis of complex diseases. At present, most GWAS are studies of a particular single disease diagnosis against controls. However, in practice, an…

Genomics · Quantitative Biology 2021-01-01 Liangying Yin , Carlos Kwan-long Chau , Yu-Ping Lin , Pak-Chung Sham , Hon-Cheong So

In this article, we apply non-convex regularization methods in order to obtain stable estimation of loss development factors in insurance claims reserving. Among the non-convex regularization methods, we focus on the use of the log-adjusted…

Methodology · Statistics 2020-12-08 Himchan Jeong , Hyunwoong Chang , Emiliano A. Valdez

A large amount of research has been devoted to the detection and investigation of epistatic interactions in genome-wide association studies (GWASs). Most of the literature focuses on low-order interactions between single-nucleotide…

Applications · Statistics 2017-02-17 Virginie Stanislas , Cyril Dalmasso , Christophe Ambroise

We study the privacy risks that are associated with training a neural network's weights with self-supervised learning algorithms. Through empirical evidence, we show that the fine-tuning stage, in which the network weights are updated with…

Machine Learning · Computer Science 2022-05-26 Yunhao Yang , Parham Gohari , Ufuk Topcu

Deep networks are increasingly applied to a wide variety of data, including data with high-dimensional predictors. In such analysis, variable selection can be needed along with estimation/model building. Many of the existing deep network…

Machine Learning · Statistics 2024-02-27 Tong Wang , Jian Huang , Shuangge Ma

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

Differentially Private (DP) data release is a promising technique to disseminate data without compromising the privacy of data subjects. However the majority of prior work has focused on scenarios where a single party owns all the data. In…

Cryptography and Security · Computer Science 2022-06-22 Ruihan Wu , Xin Yang , Yuanshun Yao , Jiankai Sun , Tianyi Liu , Kilian Q. Weinberger , Chong Wang

The popularity of penalized regression in high-dimensional data analysis has led to a demand for new inferential tools for these models. False discovery rate control is widely used in high-dimensional hypothesis testing, but has only…

Methodology · Statistics 2019-01-24 Ryan Miller , Patrick Breheny

We revisit the problem of generating synthetic data under differential privacy. To address the core limitations of marginal-based methods, we propose the Private Adaptive Generative Adversarial Network with Bayes Network Structure…

Machine Learning · Statistics 2025-11-12 Ke Jia , Yuheng Ma , Yang Li , Feifei Wang

The RNA-sequencing (RNA-seq) is becoming increasingly popular for quantifying gene expression levels. Since the RNA-seq measurements are relative in nature, between-sample normalization of counts is an essential step in differential…

Methodology · Statistics 2016-10-14 Kefei Liu , Jieping Ye , Yang Yang , Li Shen , Hui Jiang

High-dimensional data pose challenges in statistical learning and modeling. Sometimes the predictors can be naturally grouped where pursuing the between-group sparsity is desired. Collinearity may occur in real-world high-dimensional…

Machine Learning · Statistics 2011-11-11 Yiyuan She

Gene regulatory networks (GRNs) orchestrate cellular decision making and survival strategies. Inferring the structure of these networks from high-dimensional transcriptomics data is a central challenge in systems biology. Traditional…

Applications · Statistics 2025-08-01 Visweswaran Ravikumar , Aaresh Bhathena , Wajd N Al-Holou , Salar Fattahi , Arvind Rao

In this work, we introduce a novel approach to regularization in multivariable regression problems. Our regularizer, called DLoss, penalises differences between the model's derivatives and derivatives of the data generating function as…

Machine Learning · Computer Science 2024-05-02 Enrico Lopedoto , Maksim Shekhunov , Vitaly Aksenov , Kizito Salako , Tillman Weyde

Multi-trait genome-wide association studies (GWAS) use multi-variate statistical methods to identify associations between genetic variants and multiple correlated traits simultaneously, and have higher statistical power than independent…

Genomics · Quantitative Biology 2022-02-10 Muhammad Ammar Malik , Adriaan-Alexander Ludl , Tom Michoel

The hidden state threat model of differential privacy (DP) assumes that the adversary has access only to the final trained machine learning (ML) model, without seeing intermediate states during training. However, the current privacy…

Machine Learning · Computer Science 2025-05-27 Rob Romijnders , Antti Koskela

In this work, we propose differentially private methods for hypothesis testing, model averaging, and model selection for normal linear models. We consider Bayesian methods based on mixtures of $g$-priors and non-Bayesian methods based on…

Methodology · Statistics 2023-08-30 Víctor Peña , Andrés F. Barrientos

Distributed machine learning is an approach allowing different parties to learn a model over all data sets without disclosing their own data. In this paper, we propose a weighted distributed differential privacy (WD-DP) empirical risk…

Machine Learning · Computer Science 2021-10-22 Yilin Kang , Yong Liu , Weiping Wang

The elastic-net is among the most widely used types of regularization algorithms, commonly associated with the problem of supervised generalized linear model estimation via penalized maximum likelihood. Its nice properties originate from a…

Machine Learning · Statistics 2020-10-05 Juan C. Laria , Line H. Clemmensen , Bjarne K. Ersbøll
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