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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 investigate the distributed online nonconvex optimization problem with differential privacy over time-varying networks. Each node minimizes the sum of several nonconvex functions while preserving the node's differential privacy. We…

系统与控制 · 电气工程与系统科学 2025-01-09 Yingjie Zhou , Tao Li

Federated learning enables collaborative model training across distributed clients while preserving data privacy. However, in practical deployments, device heterogeneity, non-independent, and identically distributed (Non-IID) data often…

人工智能 · 计算机科学 2026-02-20 Jin Wang , Hui Ma , Fei Xing , Ming Yan

Developing machine learning methods that are privacy preserving is today a central topic of research, with huge practical impacts. Among the numerous ways to address privacy-preserving learning, we here take the perspective of computing the…

机器学习 · 计算机科学 2021-07-06 Alain Rakotomamonjy , Liva Ralaivola

Differentially Private Stochastic Gradient Descent (DP-SGD) has been widely used for solving optimization problems with privacy guarantees in machine learning and statistics. Despite this, a systematic non-asymptotic convergence analysis…

统计方法学 · 统计学 2025-07-10 Enze Shi , Jinhan Xie , Bei Jiang , Linglong Kong , Xuming He

This paper studies the problem of differentially private empirical risk minimization (DP-ERM) for binary linear classification. We obtain an efficient $(\varepsilon,\delta)$-DP algorithm with an empirical zero-one risk bound of…

机器学习 · 计算机科学 2025-06-02 Erchi Wang , Yuqing Zhu , Yu-Xiang Wang

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

机器学习 · 计算机科学 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Kolmogorov--Arnold Networks (KANs) have recently emerged as a structured alternative to standard MLPs, yet a principled theory for their training dynamics, generalization, and privacy properties remains limited. In this paper, we analyze…

机器学习 · 计算机科学 2026-05-14 Puyu Wang , Junyu Zhou , Philipp Liznerski , Marius Kloft

We study differentially private stochastic convex optimization (DP-SCO) under user-level privacy, where each user may hold multiple data items. Existing work for user-level DP-SCO either requires super-polynomial runtime [Ghazi et al.…

机器学习 · 计算机科学 2023-11-08 Hilal Asi , Daogao Liu

Differentially Private (DP) generative marginal models are often used in the wild to release synthetic tabular datasets in lieu of sensitive data while providing formal privacy guarantees. These models approximate low-dimensional marginals…

密码学与安全 · 计算机科学 2025-10-29 Georgi Ganev , Meenatchi Sundaram Muthu Selva Annamalai , Sofiane Mahiou , Emiliano De Cristofaro

We consider decentralized gradient-free optimization of minimizing Lipschitz continuous functions that satisfy neither smoothness nor convexity assumption. We propose two novel gradient-free algorithms, the Decentralized Gradient-Free…

最优化与控制 · 数学 2025-01-29 Zhenwei Lin , Jingfan Xia , Qi Deng , Luo Luo

Recent works have shown that selecting an optimal model architecture suited to the differential privacy setting is necessary to achieve the best possible utility for a given privacy budget using differentially private stochastic gradient…

机器学习 · 计算机科学 2024-11-01 Anderson Santana de Oliveira , Caelin Kaplan , Khawla Mallat , Tanmay Chakraborty

Differentially Private-SGD (DP-SGD) of Abadi et al. (2016) and its variations are the only known algorithms for private training of large scale neural networks. This algorithm requires computation of per-sample gradients norms which is…

机器学习 · 计算机科学 2021-02-08 Zhiqi Bu , Sivakanth Gopi , Janardhan Kulkarni , Yin Tat Lee , Judy Hanwen Shen , Uthaipon Tantipongpipat

Stochastic convex optimization over an $\ell_1$-bounded domain is ubiquitous in machine learning applications such as LASSO but remains poorly understood when learning with differential privacy. We show that, up to logarithmic factors the…

机器学习 · 计算机科学 2021-03-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

Differentially private (DP) stochastic convex optimization (SCO) is a fundamental problem, where the goal is to approximately minimize the population risk with respect to a convex loss function, given a dataset of $n$ i.i.d. samples from a…

机器学习 · 计算机科学 2022-05-06 Raef Bassily , Cristóbal Guzmán , Anupama Nandi

Previous work on user-level differential privacy (DP) [Ghazi et al. NeurIPS 2021, Bun et al. STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users…

数据结构与算法 · 计算机科学 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

Stochastic gradient descent ascent (SGDA) and its variants have been the workhorse for solving minimax problems. However, in contrast to the well-studied stochastic gradient descent (SGD) with differential privacy (DP) constraints, there is…

机器学习 · 计算机科学 2022-08-01 Zhenhuan Yang , Shu Hu , Yunwen Lei , Kush R. Varshney , Siwei Lyu , Yiming Ying

This paper addresses the study of derivative-free smooth optimization problems, where the gradient information on the objective function is unavailable. Two novel general derivative-free methods are proposed and developed for minimizing…

最优化与控制 · 数学 2023-11-29 Pham Duy Khanh , Boris S. Mordukhovich , Dat Ba Tran

Most prior results on differentially private stochastic gradient descent (DP-SGD) are derived under the simplistic assumption of uniform Lipschitzness, i.e., the per-sample gradients are uniformly bounded. We generalize uniform…

机器学习 · 计算机科学 2023-06-07 Rudrajit Das , Satyen Kale , Zheng Xu , Tong Zhang , Sujay Sanghavi

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