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Stochastic Gradient Descent (SGD) is a widely used tool in machine learning. In the context of Differential Privacy (DP), SGD has been well studied in the last years in which the focus is mainly on convergence rates and privacy guarantees.…

Machine Learning · Statistics 2024-05-22 Holger Dette , Carina Graw

Decentralized sparsity learning has attracted a significant amount of attention recently due to its rapidly growing applications. To obtain the robust and sparse estimators, a natural idea is to adopt the non-smooth median loss combined…

Machine Learning · Statistics 2022-03-02 Weidong Liu , Xiaojun Mao , Xin Zhang

Gaussian processes (GPs) offer a flexible, uncertainty-aware framework for modeling complex signals, but scale cubically with data, assume static targets, and are brittle to outliers, limiting their applicability in large-scale problems…

Machine Learning · Statistics 2025-09-23 Fernando Llorente , Daniel Waxman , Sanket Jantre , Nathan M. Urban , Susan E. Minkoff

Decentralized Gradient Descent (D-GD) allows a set of users to perform collaborative learning without sharing their data by iteratively averaging local model updates with their neighbors in a network graph. The absence of direct…

Machine Learning · Computer Science 2024-06-05 Abdellah El Mrini , Edwige Cyffers , Aurélien Bellet

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

Data Structures and Algorithms · Computer Science 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Based on binary inquiries, we developed an algorithm to estimate population quantiles under Local Differential Privacy (LDP). By self-normalizing, our algorithm provides asymptotically normal estimation with valid inference, resulting in…

Methodology · Statistics 2023-08-08 Yi Liu , Qirui Hu , Lei Ding , Bei Jiang , Linglong Kong

Differentially private stochastic gradient descent (DP-SGD) is a standard approach to privacy-preserving learning based on per-example clipping, subsampling, Gaussian perturbation, and privacy accounting. Classical DP-SGD releases a noisy…

Cryptography and Security · Computer Science 2026-05-12 Mohammad Partohaghighi , Roummel Marcia

The increased availability of massive data sets provides a unique opportunity to discover subtle patterns in their distributions, but also imposes overwhelming computational challenges. To fully utilize the information contained in big…

Statistics Theory · Mathematics 2018-04-12 Stanislav Volgushev , Shih-Kang Chao , Guang Cheng

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

Differential privacy via output perturbation has been a de facto standard for releasing query or computation results on sensitive data. However, we identify that all existing Gaussian mechanisms suffer from the curse of full-rank covariance…

Cryptography and Security · Computer Science 2024-03-15 Tianxi Ji , Pan Li

We consider the problem of generating private synthetic versions of real-world graphs containing private information while maintaining the utility of generated graphs. Differential privacy is a gold standard for data privacy, and the…

Machine Learning · Computer Science 2021-11-18 Xu Zheng , Nicholas McCarthy , Jer Hayes

In this paper, a novel model-based distributed compressive sensing (DCS) algorithm is proposed. DCS exploits the inter-signal correlations and has the capability to jointly recover multiple sparse signals. Proposed approach is a Bayesian…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Razieh Torkamani , Hadi Zayyani , Ramazan Ali Sadeghzadeh

Many applications of machine learning, such as human health research, involve processing private or sensitive information. Privacy concerns may impose significant hurdles to collaboration in scenarios where there are multiple sites holding…

Machine Learning · Computer Science 2021-02-24 Hafiz Imtiaz , Jafar Mohammadi , Anand D. Sarwate

We develop a general framework unifying several gradient-based stochastic optimization methods for empirical risk minimization problems both in centralized and distributed scenarios. The framework hinges on the introduction of an augmented…

Optimization and Control · Mathematics 2022-07-11 Yan Huang , Ying Sun , Zehan Zhu , Changzhi Yan , Jinming Xu

Decentralized optimization enables a network of agents to cooperatively optimize an overall objective function without a central coordinator and is gaining increased attention in domains as diverse as control, sensor networks, data mining,…

Optimization and Control · Mathematics 2023-12-27 Yongqiang Wang , Angelia Nedic

In distributed training, the communication cost due to the transmission of gradients or the parameters of the deep model is a major bottleneck in scaling up the number of processing nodes. To address this issue, we propose \emph{dithered…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-03 Afshin Abdi , Faramarz Fekri

We consider the task of privately obtaining prediction error guarantees in ordinary least-squares regression problems with Gaussian covariates (with unknown covariance structure). We provide the first sample-optimal polynomial time…

Data Structures and Algorithms · Computer Science 2025-04-01 Prashanti Anderson , Ainesh Bakshi , Mahbod Majid , Stefan Tiegel

Differential privacy (DP) has become a rigorous central concept for privacy protection in the past decade. We use Gaussian differential privacy (GDP) in gauging the level of privacy protection for releasing statistical summaries from data.…

Methodology · Statistics 2025-04-01 Minwoo Kim , Jonghyeok Lee , Seung Woo Kwak , Sungkyu Jung

In recent years, the development of technologies for causal inference with privacy preservation of distributed data has gained considerable attention. Many existing methods for distributed data focus on resolving the lack of subjects…

Methodology · Statistics 2024-01-18 Yuji Kawamata , Ryoki Motai , Yukihiko Okada , Akira Imakura , Tetsuya Sakurai

Decentralized learning enables edge users to collaboratively train models by exchanging information via device-to-device communication, yet prior works have been limited to wireless networks with fixed topologies and reliable workers. In…

Information Theory · Computer Science 2022-02-03 Eunjeong Jeong , Matteo Zecchin , Marios Kountouris