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We consider the dynamics of gradient descent (GD) in overparameterized single hidden layer neural networks with a squared loss function. Recently, it has been shown that, under some conditions, the parameter values obtained using GD achieve…

Machine Learning · Computer Science 2021-05-17 Siddhartha Satpathi , R Srikant

The aim of decentralized gradient descent (DGD) is to minimize a sum of $n$ functions held by interconnected agents. We study the stability of DGD in open contexts where agents can join or leave the system, resulting each time in the…

Optimization and Control · Mathematics 2020-09-14 Julien M. Hendrickx , Michael G. Rabbat

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…

Machine Learning · Computer Science 2024-07-17 Anvith Thudi , Hengrui Jia , Casey Meehan , Ilia Shumailov , Nicolas Papernot

One of the key challenges in decentralized and federated learning is to design algorithms that efficiently deal with highly heterogeneous data distributions across agents. In this paper, we revisit the analysis of the popular Decentralized…

Machine Learning · Computer Science 2022-10-24 Batiste Le Bars , Aurélien Bellet , Marc Tommasi , Erick Lavoie , Anne-Marie Kermarrec

Distributed Deep Learning (DDL) is essential for large-scale Deep Learning (DL) training. Synchronous Stochastic Gradient Descent (SSGD) 1 is the de facto DDL optimization method. Using a sufficiently large batch size is critical to…

Machine Learning · Computer Science 2021-12-03 Wei Zhang , Mingrui Liu , Yu Feng , Xiaodong Cui , Brian Kingsbury , Yuhai Tu

Decentralized SGD is an emerging training method for deep learning known for its much less (thus faster) communication per iteration, which relaxes the averaging step in parallel SGD to inexact averaging. The less exact the averaging is,…

Machine Learning · Computer Science 2021-10-27 Bicheng Ying , Kun Yuan , Yiming Chen , Hanbin Hu , Pan Pan , Wotao Yin

Stochastic Gradient Descent (SGD) is a fundamental algorithm in machine learning, representing the optimization backbone for training several classic models, from regression to neural networks. Given the recent practical focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-25 Dan Alistarh , Christopher De Sa , Nikola Konstantinov

Decentralized training is often regarded as inferior to centralized training because the consensus errors between workers are thought to undermine convergence and generalization, even with homogeneous data distributions. This work…

Machine Learning · Computer Science 2026-02-04 Zesen Wang , Mikael Johansson

Optimization techniques are of great importance to effectively and efficiently train a deep neural network (DNN). It has been shown that using the first and second order statistics (e.g., mean and variance) to perform Z-score…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Hongwei Yong , Jianqiang Huang , Xiansheng Hua , Lei Zhang

Deep Learning has recently become hugely popular in machine learning, providing significant improvements in classification accuracy in the presence of highly-structured and large databases. Researchers have also considered privacy…

Cryptography and Security · Computer Science 2017-09-15 Briland Hitaj , Giuseppe Ateniese , Fernando Perez-Cruz

This paper considers decentralized optimization with application to machine learning on graphs. The growing size of neural network (NN) models has motivated prior works on decentralized stochastic gradient algorithms to incorporate…

Optimization and Control · Mathematics 2021-10-12 Arjun Ashok Rao , Hoi-To Wai

In this paper, we propose to solve a regularized distributionally robust learning problem in the decentralized setting, taking into account the data distribution shift. By adding a Kullback-Liebler regularization function to the robust…

Machine Learning · Computer Science 2022-09-13 Chaouki Ben Issaid , Anis Elgabli , Mehdi Bennis

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

Decentralized learning enables collaborative training of models across naturally distributed data without centralized coordination or maintenance of a global model. Instead, devices are organized in arbitrary communication topologies, in…

Machine Learning · Computer Science 2025-05-20 Mansi Sakarvadia , Nathaniel Hudson , Tian Li , Ian Foster , Kyle Chard

Decentralized strategies are of interest for learning from large-scale data over networks. This paper studies learning over a network of geographically distributed nodes/agents subject to quantization. Each node possesses a private local…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Mohammadreza Doostmohammadian , Muhammad I. Qureshi , Mohammad Hossein Khalesi , Hamid R. Rabiee , Usman A. Khan

Collaborative training of a machine learning model comes with a risk of sharing sensitive or private data. Federated learning offers a way of collectively training a single global model without the need to share client data, by sharing only…

Cryptography and Security · Computer Science 2026-01-09 Damian Harenčák , Lukáš Gajdošech , Martin Madaras

Domain generalization (DG) strives to address distribution shifts across diverse environments to enhance model's generalizability. Current DG approaches are confined to acquiring robust representations with continuous features, specifically…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Shaocong Long , Qianyu Zhou , Xikun Jiang , Chenhao Ying , Lizhuang Ma , Yuan Luo

We address nonconvex learning problems over undirected networks. In particular, we focus on the challenge of designing an algorithm that is both communication-efficient and that guarantees the privacy of the agents' data. The first goal is…

Machine Learning · Computer Science 2026-04-06 Xiaoxing Ren , Yuwen Ma , Nicola Bastianello , Karl H. Johansson , Thomas Parisini , Andreas A. Malikopoulos

As the complexity of our neural network models grow, so too do the data and computation requirements for successful training. One proposed solution to this problem is training on a distributed network of computational devices, thus…

Machine Learning · Computer Science 2020-05-22 Kyle Crandall , Dustin Webb

Collaborations among multiple organizations, such as financial institutions, medical centers, and retail markets in decentralized settings are crucial to providing improved service and performance. However, the underlying organizations may…

Machine Learning · Computer Science 2022-10-12 Enmao Diao , Jie Ding , Vahid Tarokh