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The size of deep neural networks (DNNs) grows rapidly as the complexity of the machine learning algorithm increases. To satisfy the requirement of computation and memory of DNN training, distributed deep learning based on model parallelism…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-15 Letian Zhao , Rui Xu , Tianqi Wang , Teng Tian , Xiaotian Wang , Wei Wu , Chio-in Ieong , Xi Jin

Feedforward computation, such as evaluating a neural network or sampling from an autoregressive model, is ubiquitous in machine learning. The sequential nature of feedforward computation, however, requires a strict order of execution and…

Machine Learning · Computer Science 2021-06-15 Yang Song , Chenlin Meng , Renjie Liao , Stefano Ermon

This paper considers the problem of asynchronous distributed multi-agent optimization on server-based system architecture. In this problem, each agent has a local cost, and the goal for the agents is to collectively find a minimum of their…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-09 Shuo Liu , Nirupam Gupta , Nitin H. Vaidya

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

Deep neural network (DNN) training continues to scale rapidly in terms of model size, data volume, and sequence length, to the point where multiple machines are required to fit large models for training. Different distributed and parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Xinyu Lian , Sam Ade Jacobs , Lev Kurilenko , Masahiro Tanaka , Stas Bekman , Olatunji Ruwase , Minjia Zhang

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2020-07-28 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

We present a distributed framework of the Primal-Dual Hybrid Gradient (PDHG) algorithm for solving massive-scale linear programming (LP) problems. Although PDHG-based solvers demonstrate strong performance on single-node GPU architectures,…

Optimization and Control · Mathematics 2026-05-11 Hongpei Li , Yicheng Huang , Huikang Liu , Dongdong Ge , Yinyu Ye

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

Optimization and Control · Mathematics 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

Partitioning for load balancing is a crucial first step to parallelize any type of computation. In this work, we propose SGORP, a new spatial partitioning method based on Subgradient Optimization, to solve the $d$-dimensional Rectilinear…

Data Structures and Algorithms · Computer Science 2023-10-05 Muhammed Fatih Balin , Xiaojing An , Abdurrahman Yaşar , Ümit V. Çatalyürek

This paper proposes a distributed dual gradient tracking algorithm (DDGT) to solve resource allocation problems over an unbalanced network, where each node in the network holds a private cost function and computes the optimal resource by…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Jiaqi Zhang , Keyou You , Kai Cai

Many problems in machine learning and other fields can be (re)for-mulated as linearly constrained separable convex programs. In most of the cases, there are multiple blocks of variables. However, the traditional alternating direction method…

Numerical Analysis · Computer Science 2014-05-30 Zhouchen Lin , Risheng Liu , Huan Li

This paper first proposes an N-block PCPM algorithm to solve N-block convex optimization problems with both linear and nonlinear constraints, with global convergence established. A linear convergence rate under the strong second-order…

Optimization and Control · Mathematics 2021-03-26 Run Chen , Andrew L. Liu

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

Optimization and Control · Mathematics 2026-03-06 Quentin Schau , Olivier Ploton , Vincent T'kindt , Han Hoogeveen , Federico Della Croce , Jippe Hoogeveen

When implementing model predictive control (MPC) for hybrid systems with a linear or a quadratic performance measure, a mixed-integer linear program (MILP) or a mixed-integer quadratic program (MIQP) needs to be solved, respectively, at…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Shamisa Shoja , Daniel Arnström , Daniel Axehill

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

Optimization and Control · Mathematics 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

This paper presents a distributed optimization algorithm tailored for solving optimal control problems arising in multi-building coordination. The buildings coordinated by a grid operator, join a demand response program to balance the…

Optimization and Control · Mathematics 2021-01-14 Junyan Su , Yuning Jiang , Altug Bitlislioglu , Colin N. Jones , Boris Houska

Serial-parallel redundancy is a reliable way to ensure service and systems will be available in cloud computing. That method involves making copies of the same system or program, with only one remaining active. When an error occurs, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-08 Gutha Jaya Krishna

Training deep neural networks (DNNs) in large-cluster computing environments is increasingly necessary, as networks grow in size and complexity. Local memory and processing limitations require robust data and model parallelism for crossing…

Machine Learning · Computer Science 2020-06-08 Russell J. Hewett , Thomas J. Grady
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