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Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

系统与控制 · 电气工程与系统科学 2026-03-30 Ziqin Chen , Yongqiang Wang

Non-interactive Local Differential Privacy (LDP) requires data analysts to collect data from users through noisy channel at once. In this paper, we extend the frontiers of Non-interactive LDP learning and estimation from several aspects.…

机器学习 · 计算机科学 2017-06-13 Kai Zheng , Wenlong Mou , Liwei Wang

Differentially private stochastic gradient descent (DP-SGD) is the canonical approach to private deep learning. While the current privacy analysis of DP-SGD is known to be tight in some settings, several empirical results suggest that…

机器学习 · 计算机科学 2024-07-17 Anvith Thudi , Hengrui Jia , Casey Meehan , Ilia Shumailov , Nicolas Papernot

Tuning the hyperparameters in the differentially private stochastic gradient descent (DPSGD) is a fundamental challenge. Unlike the typical SGD, private datasets cannot be used many times for hyperparameter search in DPSGD; e.g., via a grid…

机器学习 · 计算机科学 2021-08-10 Aman Priyanshu , Rakshit Naidu , Fatemehsadat Mireshghallah , Mohammad Malekzadeh

We develop an algorithm for parameter-free stochastic convex optimization (SCO) whose rate of convergence is only a double-logarithmic factor larger than the optimal rate for the corresponding known-parameter setting. In contrast, the best…

最优化与控制 · 数学 2024-03-04 Yair Carmon , Oliver Hinder

We introduce a locally differentially private (LDP) algorithm for online federated learning that employs temporally correlated noise to improve utility while preserving privacy. To address challenges posed by the correlated noise and local…

机器学习 · 计算机科学 2025-03-13 Jiaojiao Zhang , Linglingzhi Zhu , Dominik Fay , Mikael Johansson

Differentially private stochastic gradient descent (DP-SGD) is the standard algorithm for training machine learning models under differential privacy (DP). The most common DP-SGD privacy accountants rely on Poisson subsampling to ensure the…

机器学习 · 计算机科学 2026-01-14 Sebastian Rodriguez Beltran , Marlon Tobaben , Joonas Jälkö , Niki Loppi , Antti Honkela

Private optimization is a topic of major interest in machine learning, with differentially private stochastic gradient descent (DP-SGD) playing a key role in both theory and practice. Furthermore, DP-SGD is known to be a powerful tool in…

机器学习 · 计算机科学 2024-10-10 Dmitrii Avdiukhin , Michael Dinitz , Chenglin Fan , Grigory Yaroslavtsev

We consider the problem of unconstrained online convex optimization (OCO) with sub-exponential noise, a strictly more general problem than the standard OCO. In this setting, the learner receives a subgradient of the loss functions corrupted…

机器学习 · 计算机科学 2019-09-24 Kwang-Sung Jun , Francesco Orabona

Minimizing a convex risk function is the main step in many basic learning algorithms. We study protocols for convex optimization which provably leak very little about the individual data points that constitute the loss function.…

机器学习 · 计算机科学 2020-08-11 Di Wang , Adam Smith , Jinhui Xu

This paper considers the generalization performance of differentially private convex learning. We demonstrate that the convergence analysis of Langevin algorithms can be used to obtain new generalization bounds with differential privacy…

机器学习 · 计算机科学 2022-06-07 Yi-An Ma , Teodor Vanislavov Marinov , Tong Zhang

We propose an adaptive (stochastic) gradient perturbation method for differentially private empirical risk minimization. At each iteration, the random noise added to the gradient is optimally adapted to the stepsize; we name this process…

机器学习 · 计算机科学 2021-10-26 Xiaoxia Wu , Lingxiao Wang , Irina Cristali , Quanquan Gu , Rebecca Willett

This paper addresses the challenge of preserving privacy in Federated Learning (FL) within centralized systems, focusing on both trusted and untrusted server scenarios. We analyze this setting within the Stochastic Convex Optimization (SCO)…

机器学习 · 计算机科学 2024-07-18 Roie Reshef , Kfir Y. Levy

Privacy preservation in machine learning, particularly through Differentially Private Stochastic Gradient Descent (DP-SGD), is critical for sensitive data analysis. However, existing statistical inference methods for SGD predominantly focus…

机器学习 · 统计学 2025-12-15 Xintao Xia , Linjun Zhang , Zhanrui Cai

Distributed stochastic gradient descent is an important subroutine in distributed learning. A setting of particular interest is when the clients are mobile devices, where two important concerns are communication efficiency and the privacy…

机器学习 · 统计学 2018-05-29 Naman Agarwal , Ananda Theertha Suresh , Felix Yu , Sanjiv Kumar , H. Brendan Mcmahan

We consider the problem of empirical risk minimization given a database, using the gradient descent algorithm. We note that the function to be optimized may be non-convex, consisting of saddle points which impede the convergence of the…

机器学习 · 计算机科学 2021-01-19 Thulasi Tholeti , Sheetal Kalyani

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

As the use of large embedding models in recommendation systems and language applications increases, concerns over user data privacy have also risen. DP-SGD, a training algorithm that combines differential privacy with stochastic gradient…

机器学习 · 计算机科学 2023-11-15 Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

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…

机器学习 · 计算机科学 2025-05-27 Rob Romijnders , Antti Koskela

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…

密码学与安全 · 计算机科学 2026-05-12 Mohammad Partohaghighi , Roummel Marcia