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Differential privacy is a widely accepted measure of privacy in the context of deep learning algorithms, and achieving it relies on a noisy training approach known as differentially private stochastic gradient descent (DP-SGD). DP-SGD…

Machine Learning · Computer Science 2023-07-26 Ce Feng , Nuo Xu , Wujie Wen , Parv Venkitasubramaniam , Caiwen Ding

Decentralized stochastic bilevel optimization (DSBO) is a powerful tool for various machine learning tasks, including decentralized meta-learning and hyperparameter tuning. Existing DSBO methods primarily address problems with strongly…

Optimization and Control · Mathematics 2026-02-02 Yaoshuai Ma , Xiao Wang , Wei Yao , Jin Zhang

There has been work that exploits polynomial approximation to solve distributed nonconvex optimization problems involving univariate objectives. This idea facilitates arbitrarily precise global optimization without requiring local…

Optimization and Control · Mathematics 2024-03-25 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

Decentralized optimization algorithms have attracted intensive interests recently, as it has a balanced communication pattern, especially when solving large-scale machine learning problems. Stochastic Path Integrated Differential Estimator…

Machine Learning · Computer Science 2019-12-02 Taoxing Pan , Jun Liu , Jie Wang

Decentralized learning has emerged as a powerful approach for handling large datasets across multiple machines in a communication-efficient manner. However, such methods often face scalability limitations, as increasing the number of…

Machine Learning · Computer Science 2025-06-03 Ofri Eisen , Ron Dorfman , Kfir Y. Levy

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

Machine Learning · Statistics 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai

Developing a differentially private deep learning algorithm is challenging, due to the difficulty in analyzing the sensitivity of objective functions that are typically used to train deep neural networks. Many existing methods resort to the…

Machine Learning · Computer Science 2019-10-16 Frederik Harder , Jonas Köhler , Max Welling , Mijung Park

We provide a simple and flexible framework for designing differentially private algorithms to find approximate stationary points of non-convex loss functions. Our framework is based on using a private approximate risk minimizer to "warm…

Machine Learning · Computer Science 2024-08-21 Andrew Lowy , Jonathan Ullman , Stephen J. Wright

We consider solving a convex, possibly stochastic optimization problem over a randomly time-varying multi-agent network. Each agent has access to some local objective function, and it only has unbiased estimates of the gradients of the…

Optimization and Control · Mathematics 2016-11-29 Mingyi Hong , Tsung-Hui Chang

This paper focuses on the problem of Differentially Private Stochastic Optimization for (multi-layer) fully connected neural networks with a single output node. In the first part, we examine cases with no hidden nodes, specifically focusing…

Machine Learning · Computer Science 2023-10-13 Hanpu Shen , Cheng-Long Wang , Zihang Xiang , Yiming Ying , Di Wang

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…

Machine Learning · Computer Science 2023-11-15 Badih Ghazi , Yangsibo Huang , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Amer Sinha , Chiyuan Zhang

Adaptive optimizers are the de facto standard in non-private training as they often enable faster convergence and improved performance. In contrast, differentially private (DP) training is still predominantly performed with DP-SGD,…

Machine Learning · Computer Science 2025-12-01 Mihaela Hudişteanu , Nikita P. Kalinin , Edwige Cyffers

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

In this work, we conduct a systematic study of stochastic saddle point problems (SSP) and stochastic variational inequalities (SVI) under the constraint of $(\epsilon,\delta)$-differential privacy (DP) in both Euclidean and non-Euclidean…

Machine Learning · Computer Science 2024-11-11 Raef Bassily , Cristóbal Guzmán , Michael Menart

This paper tackles the challenge of achieving Differential Privacy (DP) in Federated Learning (FL) under partial-participation, where only a subset of the machines participate in each time-step. While previous work achieved optimal…

Machine Learning · Computer Science 2025-06-04 Roie Reshef , Kfir Yehuda Levy

We develop simple differentially private optimization algorithms that move along directions of (expected) descent to find an approximate second-order solution for nonconvex ERM. We use line search, mini-batching, and a two-phase strategy to…

Machine Learning · Computer Science 2023-06-12 Changyu Gao , Stephen J. Wright

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

Optimization and Control · Mathematics 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

In privacy-preserving machine learning, differentially private stochastic gradient descent (DP-SGD) performs worse than SGD due to per-sample gradient clipping and noise addition. A recent focus in private learning research is improving the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Xinyu Tang , Ashwinee Panda , Vikash Sehwag , Prateek Mittal

Most of the literature on differential privacy considers the item-level case where each user has a single observation, but a growing field of interest is that of user-level privacy where each of the $n$ users holds $T$ observations and…

Statistics Theory · Mathematics 2026-01-21 Alexander Kent , Thomas B. Berrett , Yi Yu

We investigate practical and scalable algorithms for training large language models (LLMs) with user-level differential privacy (DP) in order to provably safeguard all the examples contributed by each user. We study two variants of DP-SGD…

Machine Learning · Computer Science 2024-07-11 Zachary Charles , Arun Ganesh , Ryan McKenna , H. Brendan McMahan , Nicole Mitchell , Krishna Pillutla , Keith Rush