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This paper addresses a distributed convex optimization problem with a class of coupled constraints, which arise in a multi-agent system composed of multiple communities modeled by cliques. First, we propose a fully distributed…

Optimization and Control · Mathematics 2022-11-21 Yuto Watanabe , Kazunori Sakurama

In this paper we tackle the challenge of making the stochastic coordinate descent algorithm differentially private. Compared to the classical gradient descent algorithm where updates operate on a single model vector and controlled noise…

Machine Learning · Computer Science 2021-03-16 Georgios Damaskinos , Celestine Mendler-Dünner , Rachid Guerraoui , Nikolaos Papandreou , Thomas Parnell

Deep learning models leak significant amounts of information about their training datasets. Previous work has investigated training models with differential privacy (DP) guarantees through adding DP noise to the gradients. However, such…

Machine Learning · Computer Science 2020-07-23 Milad Nasr , Reza Shokri , Amir houmansadr

The extrapolation strategy raised by Nesterov, which can accelerate the convergence rate of gradient descent methods by orders of magnitude when dealing with smooth convex objective, has led to tremendous success in training machine…

Machine Learning · Computer Science 2020-06-18 W. Tao , Z. Pan , G. Wu , Q. Tao

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

Prior work on differential privacy analysis of randomized SGD algorithms relies on composition theorems, where the implicit (unrealistic) assumption is that the internal state of the iterative algorithm is revealed to the adversary. As a…

Machine Learning · Statistics 2022-10-18 Jiayuan Ye , Reza Shokri

Motivated by settings in which predictive models may be required to be non-discriminatory with respect to certain attributes (such as race), but even collecting the sensitive attribute may be forbidden or restricted, we initiate the study…

Machine Learning · Computer Science 2019-06-04 Matthew Jagielski , Michael Kearns , Jieming Mao , Alina Oprea , Aaron Roth , Saeed Sharifi-Malvajerdi , Jonathan Ullman

With the increasing collection of users' data, protecting individual privacy has gained more interest. Differential Privacy is a strong concept of protecting individuals. Naive Bayes is one of the popular machine learning algorithm, used as…

Cryptography and Security · Computer Science 2021-07-20 Farzad Zafarani , Chris Clifton

Accelerated algorithms have broad applications in large-scale optimization, due to their generality and fast convergence. However, their stability in the practical setting of noise-corrupted gradient oracles is not well-understood. This…

Optimization and Control · Mathematics 2018-08-01 Michael B. Cohen , Jelena Diakonikolas , Lorenzo Orecchia

Training generative models with differential privacy (DP) typically involves injecting noise into gradient updates or adapting the discriminator's training procedure. As a result, such approaches often struggle with hyper-parameter tuning…

Machine Learning · Computer Science 2024-10-29 Kristjan Greenewald , Yuancheng Yu , Hao Wang , Kai Xu

In recent years, deep learning has achieved remarkable success in various fields such as image recognition, natural language processing, and speech recognition. The effectiveness of deep learning largely depends on the optimization methods…

Machine Learning · Computer Science 2023-04-25 David Shulman

Iterative gradient-based optimization algorithms are widely used to solve difficult or large-scale optimization problems. There are many algorithms to choose from, such as gradient descent and its accelerated variants such as Polyak's Heavy…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-09 Annie I. Chen , Asuman Ozdaglar

This paper tackles the problem of discretizing accelerated optimization flows while retaining their convergence properties. Inspired by the success of resource-aware control in developing efficient closed-loop feedback implementations on…

Optimization and Control · Mathematics 2020-09-22 Miguel Vaquero , Pol Mestres , Jorge Cortés

We study the algorithmic stability of Nesterov's accelerated gradient method. For convex quadratic objectives, Chen et al. (2018) proved that the uniform stability of the method grows quadratically with the number of optimization steps, and…

Machine Learning · Computer Science 2021-06-22 Amit Attia , Tomer Koren

Differential privacy is one of the methods to solve the problem of privacy protection in federated learning. Setting the same privacy budget for each round will result in reduced accuracy in training. The existing methods of the adjustment…

Cryptography and Security · Computer Science 2024-08-20 Zhiqiang Wang , Xinyue Yu , Qianli Huang , Yongguang Gong

Differential privacy (DP) is a widely-accepted and widely-applied notion of privacy based on worst-case analysis. Often, DP classifies most mechanisms without additive noise as non-private (Dwork et al., 2014). Thus, additive noises are…

Cryptography and Security · Computer Science 2023-12-14 Ao Liu , Yu-Xiang Wang , Lirong Xia

Discrete gradient methods are geometric integration techniques that can preserve the dissipative structure of gradient flows. Due to the monotonic decay of the function values, they are well suited for general convex and nonconvex…

Optimization and Control · Mathematics 2024-07-17 Matthias J. Ehrhardt , Erlend S. Riis , Torbjørn Ringholm , Carola-Bibiane Schönlieb

Differentially private stochastic gradient descent (DP-SGD) has become the standard algorithm for training machine learning models with rigorous privacy guarantees. Despite its widespread use, the theoretical understanding of its long-run…

Machine Learning · Computer Science 2025-11-21 Amartya Mukherjee , Jun Liu

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