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A sparse modeling is a major topic in machine learning and statistics. LASSO (Least Absolute Shrinkage and Selection Operator) is a popular sparse modeling method while it has been known to yield unexpected large bias especially at a sparse…

机器学习 · 计算机科学 2018-08-23 Katsuyuki Hagiwara

We present a general methodology for using unlabeled data to design semi supervised learning (SSL) variants of the Empirical Risk Minimization (ERM) learning process. Focusing on generalized linear regression, we analyze of the…

机器学习 · 统计学 2022-03-08 Oren Yuval , Saharon Rosset

Kaplan-Meier estimators are essential tools in survival analysis, capturing the survival behavior of a cohort. Their accuracy improves with large, diverse datasets, encouraging data holders to collaborate for more precise estimations.…

密码学与安全 · 计算机科学 2024-07-30 Shadi Rahimian , Raouf Kerkouche , Ina Kurth , Mario Fritz

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

机器学习 · 统计学 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

Scientists continue to develop increasingly complex mechanistic models to reflect their knowledge more realistically. Statistical inference using these models can be challenging since the corresponding likelihood function is often…

统计计算 · 统计学 2026-01-07 Joshua J Bon , David J Warne , David J Nott , Christopher Drovandi

In this paper I present a new approach for regression of time series using their own samples. This is a celebrated problem known as Auto-Regression. Dealing with outlier or missed samples in a time series makes the problem of estimation…

人工智能 · 计算机科学 2015-08-19 Mohsen Joneidi

We propose a sigmoidal approximation for the value-at-risk (that we call SigVaR) and we use this approximation to tackle nonlinear programs (NLPs) with chance constraints. We prove that the approximation is conservative and that the level…

最优化与控制 · 数学 2020-04-07 Yankai Cao , Victor M. Zavala

To reduce the communication cost of differential privacy mechanisms, we introduce a novel construction, called Poisson private representation (PPR), designed to compress and simulate any local randomizer while ensuring local differential…

密码学与安全 · 计算机科学 2024-11-12 Yanxiao Liu , Wei-Ning Chen , Ayfer Özgür , Cheuk Ting Li

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

机器学习 · 计算机科学 2026-02-20 Vitaly Feldman , Moshe Shenfeld

While autoregressive models excel at image compression, their sample quality is often lacking. Although not realistic, generated images often have high likelihood according to the model, resembling the case of adversarial examples. Inspired…

机器学习 · 计算机科学 2021-03-30 Chenlin Meng , Jiaming Song , Yang Song , Shengjia Zhao , Stefano Ermon

We consider the problem of estimating a regression function from anonymized data in the framework of local differential privacy. We propose a novel partitioning estimate of the regression function, derive a rate of convergence for the…

统计理论 · 数学 2023-04-12 László Györfi , Martin Kroll

We revisit the problem of linear regression under a differential privacy constraint. By consolidating existing pieces in the literature, we clarify the correct dependence of the feature, label and coefficient domains in the optimization…

机器学习 · 统计学 2018-07-10 Yu-Xiang Wang

The interplay between optimization and privacy has become a central theme in privacy-preserving machine learning. Noisy stochastic gradient descent (SGD) has emerged as a cornerstone algorithm, particularly in large-scale settings. These…

机器学习 · 计算机科学 2025-10-21 Shurong Lin , Eric D. Kolaczyk , Adam Smith , Elliot Paquette

Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the utility of the resulting statistical estimators. We prove bounds on information-theoretic…

统计理论 · 数学 2014-08-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

机器学习 · 计算机科学 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

We study private matrix analysis in the sliding window model where only the last $W$ updates to matrices are considered useful for analysis. We give first efficient $o(W)$ space differentially private algorithms for spectral approximation,…

机器学习 · 计算机科学 2020-09-08 Jalaj Upadhyay , Sarvagya Upadhyay

Smooth backfitting was first introduced in an additive regression setting via a direct projection alternative to the classic backfitting method by Buja, Hastie and Tibshirani. This paper translates the original smooth backfitting concept to…

统计理论 · 数学 2025-08-04 Stephan M. Bischofberger , Munir Hiabu , Enno Mammen , Jens Perch Nielsen

This paper presents a stochastic sampling framework for privacy-aware data sharing, where a sensor observes a process correlated with private information. A sampler determines whether to retain or discard sensor observations, balancing the…

系统与控制 · 电气工程与系统科学 2025-05-22 Chuanghong Weng , Ehsan Nekouei

We address the problem of maximizing privacy of stochastic dynamical systems whose state information is released through quantized sensor data. In particular, we consider the setting where information about the system state is obtained…

系统与控制 · 电气工程与系统科学 2021-01-25 Carlos Murguia , Iman Shames , Farhad Farokhi. Dragan Nesic , Vincent Poor

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…

统计方法学 · 统计学 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang