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In this paper, we study the setting in which data owners train machine learning models collaboratively under a privacy notion called joint differential privacy [Kearns et al., 2018]. In this setting, the model trained for each data owner…

Machine Learning · Computer Science 2023-05-26 Yangsibo Huang , Haotian Jiang , Daogao Liu , Mohammad Mahdian , Jieming Mao , Vahab Mirrokni

We study the problem of safe online convex optimization, where the action at each time step must satisfy a set of linear safety constraints. The goal is to select a sequence of actions to minimize the regret without violating the safety…

Machine Learning · Computer Science 2021-11-16 Sapana Chaudhary , Dileep Kalathil

Convex optimization finds many real-life applications, where--optimized on real data--optimization results may expose private data attributes (e.g., individual health records, commercial information), thus leading to privacy breaches. To…

Optimization and Control · Mathematics 2024-06-25 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Pierre Pinson , Jalal Kazempour

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.…

Machine Learning · Computer Science 2020-08-11 Di Wang , Adam Smith , Jinhui Xu

Differentially Private Stochastic Gradient Descent (DP-SGD) is a popular iterative algorithm used to train machine learning models while formally guaranteeing the privacy of users. However, the privacy analysis of DP-SGD makes the…

Machine Learning · Computer Science 2024-10-31 Meenatchi Sundaram Muthu Selva Annamalai

The Noisy-SGD algorithm is widely used for privately training machine learning models. Traditional privacy analyses of this algorithm assume that the internal state is publicly revealed, resulting in privacy loss bounds that increase…

Machine Learning · Computer Science 2023-05-18 Shahab Asoodeh , Mario Diaz

Network routing problems are common across many engineering applications. Computing optimal routing policies requires knowledge about network demand, i.e., the origin and destination (OD) of all requests in the network. However, privacy…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Matthew Tsao , Karthik Gopalakrishnan , Kaidi Yang , Marco Pavone

This paper consider solving a class of nonconvex-strongly-convex distributed stochastic bilevel optimization (DSBO) problems with personalized inner-level objectives. Most existing algorithms require computational loops for hypergradient…

Optimization and Control · Mathematics 2025-04-08 Youcheng Niu , Jinming Xu , Ying Sun , Yan Huang , Li Chai

We develop universal gradient methods for Stochastic Convex Optimization (SCO). Our algorithms automatically adapt not only to the oracle's noise but also to the H\"older smoothness of the objective function without a priori knowledge of…

Optimization and Control · Mathematics 2024-07-12 Anton Rodomanov , Ali Kavis , Yongtao Wu , Kimon Antonakopoulos , Volkan Cevher

We initiate a systematic study of worst-group risk minimization under $(\epsilon, \delta)$-differential privacy (DP). The goal is to privately find a model that approximately minimizes the maximal risk across $p$ sub-populations (groups)…

Machine Learning · Computer Science 2024-03-01 Xinyu Zhou , Raef Bassily

Differentially-private stochastic gradient descent (DP-SGD) is a family of iterative machine learning training algorithms that privatize gradients to generate a sequence of differentially-private (DP) model parameters. It is also the…

Machine Learning · Computer Science 2025-02-11 Weiwei Kong , Mónica Ribero

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…

Data Structures and Algorithms · Computer Science 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

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…

Optimization and Control · Mathematics 2024-03-04 Yair Carmon , Oliver Hinder

User-level privacy is important in distributed systems. Previous research primarily focuses on the central model, while the local models have received much less attention. Under the central model, user-level DP is strictly stronger than the…

Machine Learning · Statistics 2024-05-28 Puning Zhao , Li Shen , Rongfei Fan , Qingming Li , Huiwen Wu , Jiafei Wu , Zhe Liu

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

Optimization and Control · Mathematics 2022-12-16 Yongqiang Wang , Tamer Basar

A central issue in machine learning is how to train models on sensitive user data. Industry has widely adopted a simple algorithm: Stochastic Gradient Descent with noise (a.k.a. Stochastic Gradient Langevin Dynamics). However, foundational…

Machine Learning · Computer Science 2023-03-01 Jason M. Altschuler , Kunal Talwar

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…

Machine Learning · Computer Science 2022-06-07 Yi-An Ma , Teodor Vanislavov Marinov , Tong Zhang

Temporal difference (TD) learning is a widely used method to evaluate policies in reinforcement learning. While many TD learning methods have been developed in recent years, little attention has been paid to preserving privacy and most of…

Machine Learning · Computer Science 2022-01-26 Canzhe Zhao , Yanjie Ze , Jing Dong , Baoxiang Wang , Shuai Li

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…

Machine Learning · Computer Science 2022-08-01 Zhenhuan Yang , Shu Hu , Yunwen Lei , Kush R. Varshney , Siwei Lyu , Yiming Ying

In the arena of privacy-preserving machine learning, differentially private stochastic gradient descent (DP-SGD) has outstripped the objective perturbation mechanism in popularity and interest. Though unrivaled in versatility, DP-SGD…

Machine Learning · Computer Science 2024-01-02 Rachel Redberg , Antti Koskela , Yu-Xiang Wang