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Large-scale distributed learning aims at minimizing a loss function $L$ that depends on a training dataset with respect to a $d$-length parameter vector. The distributed cluster typically consists of a parameter server (PS) and multiple…

信息论 · 计算机科学 2026-03-25 Sifat Munim , Aditya Ramamoorthy

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

最优化与控制 · 数学 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

In this paper, we consider distributed algorithms for solving the empirical risk minimization problem under the master/worker communication model. We develop a distributed asynchronous quasi-Newton algorithm that can achieve superlinear…

The performance and efficiency of distributed machine learning (ML) depends significantly on how long it takes for nodes to exchange state changes. Overly-aggressive attempts to reduce communication often sacrifice final model accuracy and…

机器学习 · 计算机科学 2018-02-22 Hyeontaek Lim , David G. Andersen , Michael Kaminsky

The unsupervised task of aligning two or more distributions in a shared latent space has many applications including fair representations, batch effect mitigation, and unsupervised domain adaptation. Existing flow-based approaches estimate…

机器学习 · 计算机科学 2022-03-17 Zeyu Zhou , Ziyu Gong , Pradeep Ravikumar , David I. Inouye

We consider the problem of how to reduce the cost of communication that is required for the parallel training of a neural network. The state-of-the-art method, Bulk Synchronous Parallel Stochastic Gradient Descent (BSP-SGD), requires many…

分布式、并行与集群计算 · 计算机科学 2017-04-18 Linnan Wang , Wei Wu , George Bosilca , Richard Vuduc , Zenglin Xu

In this paper, due to the important value in practical applications, we consider the coded distributed matrix multiplication problem of computing $AA^\top$ in a distributed computing system with $N$ worker nodes and a master node, where the…

信息论 · 计算机科学 2023-06-27 Jingke Xu , Yaqian Zhang , Libo Wang

We consider the inverse scattering problem for sparse scatterers. An image reconstruction algorithm is proposed that is based on a nonlinear generalization of iterative hard thresholding. The convergence and error of the method was analyzed…

数值分析 · 数学 2019-03-27 Anna C. Gilbert , Howard W. Levinson , John C. Schotland

We develop several new communication-efficient second-order methods for distributed optimization. Our first method, NEWTON-STAR, is a variant of Newton's method from which it inherits its fast local quadratic rate. However, unlike Newton's…

机器学习 · 计算机科学 2021-02-16 Rustem Islamov , Xun Qian , Peter Richtárik

Recently, an idling mechanism has been introduced in the context of distributed \emph{first order} methods for minimization of a sum of nodes' local convex costs over a generic, connected network. With the idling mechanism, each node $i$,…

信息论 · 计算机科学 2018-09-21 Natasa Krklec Jerinkic , Dusan Jakovetic , Natasa Krejic , Dragana Bajovic

We develop a technique to design efficiently computable estimators for sparse linear regression in the simultaneous presence of two adversaries: oblivious and adaptive. We design several robust algorithms that outperform the state of the…

机器学习 · 计算机科学 2024-11-01 Chih-Hung Liu , Gleb Novikov

Distributed implementations are crucial in speeding up large scale machine learning applications. Distributed gradient descent (GD) is widely employed to parallelize the learning task by distributing the dataset across multiple workers. A…

信息论 · 计算机科学 2021-03-02 Baturalp Buyukates , Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Learning sparse combinations is a frequent theme in machine learning. In this paper, we study its associated optimization problem in the distributed setting where the elements to be combined are not centrally located but spread over a…

分布式、并行与集群计算 · 计算机科学 2019-01-25 Aurélien Bellet , Yingyu Liang , Alireza Bagheri Garakani , Maria-Florina Balcan , Fei Sha

This manuscript presents a new extended linear system for integral equation based techniques for solving boundary value problems on locally perturbed geometries. The new extended linear system is similar to a previously presented technique…

数值分析 · 数学 2021-03-17 Yabin Zhang , Adrianna Gillman

We introduce a novel family of adaptive filtering algorithms based on a relative logarithmic cost. The new family intrinsically combines the higher and lower order measures of the error into a single continuous update based on the error…

机器学习 · 计算机科学 2015-06-18 Muhammed O. Sayin , N. Denizcan Vanli , Suleyman S. Kozat

Within distributed learning, workers typically compute gradients on their assigned dataset chunks and send them to the parameter server (PS), which aggregates them to compute either an exact or approximate version of $\nabla L$ (gradient of…

信息论 · 计算机科学 2024-11-19 Aditya Ramamoorthy , Ruoyu Meng , Vrinda S. Girimaji

We study distributed algorithms for expected loss minimization where the datasets are large and have to be stored on different machines. Often we deal with minimizing the average of a set of convex functions where each function is the…

机器学习 · 计算机科学 2019-07-24 Samira Sheikhi

To reduce the long training time of large deep neural network (DNN) models, distributed synchronous stochastic gradient descent (S-SGD) is commonly used on a cluster of workers. However, the speedup brought by multiple workers is limited by…

机器学习 · 计算机科学 2020-03-03 Shaohuai Shi , Zhenheng Tang , Qiang Wang , Kaiyong Zhao , Xiaowen Chu

Recently, a class of algorithms combining classical fixed point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as $10^{108} \times…

数值分析 · 数学 2025-04-28 Jonathan Weare , Robert J. Webber

We present a novel coded federated learning (FL) scheme for linear regression that mitigates the effect of straggling devices while retaining the privacy level of conventional FL. The proposed scheme combines one-time padding to preserve…

机器学习 · 计算机科学 2022-02-16 Siddhartha Kumar , Reent Schlegel , Eirik Rosnes , Alexandre Graell i Amat