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We investigate fast and communication-efficient algorithms for the classic problem of minimizing a sum of strongly convex and smooth functions that are distributed among $n$ different nodes, which can communicate using a limited number of…

Optimization and Control · Mathematics 2021-06-21 Foivos Alimisis , Peter Davies , Dan Alistarh

In this paper, we study the problem of approximating the minimum cut in a distributed message-passing model, the CONGEST model. The minimum cut problem has been well-studied in the context of centralized algorithms. However, there were no…

Data Structures and Algorithms · Computer Science 2014-01-22 Hsin-Hao Su

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…

Optimization and Control · Mathematics 2019-06-11 Saeed Soori , Konstantin Mischenko , Aryan Mokhtari , Maryam Mehri Dehnavi , Mert Gurbuzbalaban

Distributed quantum computing has been well-known for many years as a system composed of a number of small-capacity quantum circuits. Limitations in the capacity of monolithic quantum computing systems can be overcome by using distributed…

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…

Modern distributed training of machine learning models suffers from high communication overhead for synchronizing stochastic gradients and model parameters. In this paper, to reduce the communication complexity, we propose \emph{double…

Optimization and Control · Mathematics 2019-05-28 Yue Yu , Jiaxiang Wu , Longbo Huang

In this paper, we study distributed algorithms for large-scale AUC maximization with a deep neural network as a predictive model. Although distributed learning techniques have been investigated extensively in deep learning, they are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Zhishuai Guo , Mingrui Liu , Zhuoning Yuan , Li Shen , Wei Liu , Tianbao Yang

Distributed deep learning (DL) has become prevalent in recent years to reduce training time by leveraging multiple computing devices (e.g., GPUs/TPUs) due to larger models and datasets. However, system scalability is limited by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-04 Zhenheng Tang , Shaohuai Shi , Wei Wang , Bo Li , Xiaowen Chu

Linear regression is a basic and widely-used methodology in data analysis. It is known that some quantum algorithms efficiently perform least squares linear regression of an exponentially large data set. However, if we obtain values of the…

Quantum Physics · Physics 2021-08-27 Kazuya Kaneko , Koichi Miyamoto , Naoyuki Takeda , Kazuyoshi Yoshino

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

Optimization and Control · Mathematics 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

In modern data science, it is common that large-scale data are stored and processed parallelly across a great number of locations. For reasons including confidentiality concerns, only limited data information from each parallel center is…

Methodology · Statistics 2022-07-14 Ziyan Yin

We give an algorithm for prediction on a quantum computer which is based on a linear regression model with least squares optimisation. Opposed to related previous contributions suffering from the problem of reading out the optimal…

Quantum Physics · Physics 2016-09-07 Maria Schuld , Ilya Sinayskiy , Francesco Petruccione

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

This paper addresses the problem of distributed learning under communication constraints, motivated by distributed signal processing in wireless sensor networks and data mining with distributed databases. After formalizing a general model…

Machine Learning · Computer Science 2016-11-15 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

Quantum-inspired classical algorithms provide us with a new way to understand the computational power of quantum computers for practically-relevant problems, especially in machine learning. In the past several years, numerous efficient…

Quantum Physics · Physics 2025-01-15 Nikhil S. Mande , Changpeng Shao

Limited by today's physical devices, quantum circuits are usually noisy and difficult to be designed deeply. The novel computing architecture of distributed quantum computing is expected to reduce the noise and depth of quantum circuits. In…

Quantum Physics · Physics 2022-10-05 Jiawei Tan , Ligang Xiao , Daowen Qiu , Le Luo , Paulo Mateus

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

Machine Learning · Computer Science 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

With the rapid growth in the volume of data sets, models, and devices in the domain of deep learning, there is increasing attention on large-scale distributed deep learning. In contrast to traditional distributed deep learning, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Feng Liang , Zhen Zhang , Haifeng Lu , Victor C. M. Leung , Yanyi Guo , Xiping Hu

We propose a communication-efficient optimally structured gradient coding scheme to jointly address straggler resilience and communication efficiency in heterogeneous distributed learning. By establishing a unified framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Heekang Song , Wan Choi

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

Machine Learning · Computer Science 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian