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Federated learning faces a critical challenge in balancing communication efficiency with rapid convergence, especially for second-order methods. While Newton-type algorithms achieve linear convergence in communication rounds, transmitting…

Machine Learning · Computer Science 2024-10-02 Sunny Gupta , Mohit Jindal , Pankhi Kashyap , Pranav Jeevan , Amit Sethi

Inspired by the recent work FedNL (Safaryan et al, FedNL: Making Newton-Type Methods Applicable to Federated Learning), we propose a new communication efficient second-order framework for Federated learning, namely FLECS. The proposed…

Optimization and Control · Mathematics 2022-06-07 Artem Agafonov , Dmitry Kamzolov , Rachael Tappenden , Alexander Gasnikov , Martin Takáč

There is a growing interest in the distributed optimization framework that goes under the name of Federated Learning (FL). In particular, much attention is being turned to FL scenarios where the network is strongly heterogeneous in terms of…

Machine Learning · Computer Science 2022-09-14 Nicolò Dal Fabbro , Subhrakanti Dey , Michele Rossi , Luca Schenato

Existing approaches to federated learning suffer from a communication bottleneck as well as convergence issues due to sparse client participation. In this paper we introduce a novel algorithm, called FetchSGD, to overcome these challenges.…

Newton-type methods are popular in federated learning due to their fast convergence. Still, they suffer from two main issues, namely: low communication efficiency and low privacy due to the requirement of sending Hessian information from…

Machine Learning · Computer Science 2022-06-20 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Ketan Rajawat , Mehdi Bennis , Vaneet Aggarwal

We propose a randomized algorithm with quadratic convergence rate for convex optimization problems with a self-concordant, composite, strongly convex objective function. Our method is based on performing an approximate Newton step using a…

Optimization and Control · Mathematics 2021-05-18 Jonathan Lacotte , Yifei Wang , Mert Pilanci

Inspired by recent work of Islamov et al (2021), we propose a family of Federated Newton Learn (FedNL) methods, which we believe is a marked step in the direction of making second-order methods applicable to FL. In contrast to the…

Machine Learning · Computer Science 2022-05-24 Mher Safaryan , Rustem Islamov , Xun Qian , Peter Richtárik

In second-order optimization, a potential bottleneck can be computing the Hessian matrix of the optimized function at every iteration. Randomized sketching has emerged as a powerful technique for constructing estimates of the Hessian which…

Optimization and Control · Mathematics 2021-07-16 Michał Dereziński , Jonathan Lacotte , Mert Pilanci , Michael W. Mahoney

Communication complexity and privacy are the two key challenges in Federated Learning where the goal is to perform a distributed learning through a large volume of devices. In this work, we introduce FedSKETCH and FedSKETCHGATE algorithms…

Machine Learning · Statistics 2020-08-13 Farzin Haddadpour , Belhal Karimi , Ping Li , Xiaoyun Li

In federated learning (FL), the significant communication overhead due to the slow convergence speed of training the global model poses a great challenge. Specifically, a large number of communication rounds are required to achieve the…

Machine Learning · Computer Science 2024-03-19 Mrinmay Sen , A. K. Qin , Krishna Mohan C

Motivated by recent developments in serverless systems for large-scale computation as well as improvements in scalable randomized matrix algorithms, we develop OverSketched Newton, a randomized Hessian-based optimization algorithm to solve…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-28 Vipul Gupta , Swanand Kadhe , Thomas Courtade , Michael W. Mahoney , Kannan Ramchandran

Many machine learning models depend on solving a large scale optimization problem. Recently, sub-sampled Newton methods have emerged to attract much attention for optimization due to their efficiency at each iteration, rectified a weakness…

Optimization and Control · Mathematics 2016-09-06 Haishan Ye , Luo Luo , Zhihua Zhang

We propose a randomized second-order method for optimization known as the Newton Sketch: it is based on performing an approximate Newton step using a randomly projected or sub-sampled Hessian. For self-concordant functions, we prove that…

Optimization and Control · Mathematics 2015-05-12 Mert Pilanci , Martin J. Wainwright

Federated learning (FL) enables a loose set of participating clients to collaboratively learn a global model via coordination by a central server and with no need for data sharing. Existing FL approaches that rely on complex algorithms with…

Machine Learning · Computer Science 2023-12-27 Kazim Ergun , Rishikanth Chandrasekaran , Tajana Rosing

Large-scale federated learning (FL) over wireless multiple access channels (MACs) has emerged as a crucial learning paradigm with a wide range of applications. However, its widespread adoption is hindered by several major challenges,…

Machine Learning · Computer Science 2024-11-01 Vineet Sunil Gattani , Junshan Zhang , Gautam Dasarathy

Federated learning (FL) aims to minimize the communication complexity of training a model over heterogeneous data distributed across many clients. A common approach is local methods, where clients take multiple optimization steps over local…

Machine Learning · Computer Science 2023-04-18 Charlie Hou , Kiran K. Thekumparampil , Giulia Fanti , Sewoong Oh

Sketching is a dimensionality reduction technique where one compresses a matrix by linear combinations that are chosen at random. A line of work has shown how to sketch the Hessian to speed up each iteration in a second order method, but…

Machine Learning · Computer Science 2021-10-07 Yi Li , Honghao Lin , David P. Woodruff

Federated learning (FL) is a popular paradigm for private and collaborative model training on the edge. In centralized FL, the parameters of a global architecture (such as a deep neural network) are maintained and distributed by a central…

Federated Learning (FL) enables collaborative training across decentralized data, but faces key challenges of bidirectional communication overhead and client-side data heterogeneity. To address communication costs while embracing data…

Machine Learning · Computer Science 2026-02-03 Jiacheng Cheng , Xu Zhang , Guanghui Qiu , Yifang Zhang , Yinchuan Li , Kaiyuan Feng

Sketching, a dimensionality reduction technique, has received much attention in the statistics community. In this paper, we study sketching in the context of Newton's method for solving finite-sum optimization problems in which the number…

Optimization and Control · Mathematics 2019-06-03 Albert S. Berahas , Raghu Bollapragada , Jorge Nocedal
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