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Advancements in information technology have enabled the creation of massive spatial datasets, driving the need for scalable and efficient computational methodologies. While offering viable solutions, centralized frameworks are limited by…

Machine Learning · Statistics 2025-02-11 Jianwei Shi , Sameh Abdulah , Ying Sun , Marc G. Genton

Two characteristics that make convex decomposition algorithms attractive are simplicity of operations and generation of parallelizable structures. In principle, these schemes require that all coordinates update at the same time, i.e., they…

Optimization and Control · Mathematics 2018-03-07 Giorgos Stathopoulos , Colin N. Jones

In prior works, stochastic dual coordinate ascent (SDCA) has been parallelized in a multi-core environment where the cores communicate through shared memory, or in a multi-processor distributed memory environment where the processors…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-03 Soumitra Pal , Tingyang Xu , Tianbao Yang , Sanguthevar Rajasekaran , Jinbo Bi

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

Machine Learning · Computer Science 2021-02-09 Haishan Ye , Tong Zhang

Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

Machine Learning · Computer Science 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

Bilevel optimization has gained significant attention in recent years due to its broad applications in machine learning. This paper focuses on bilevel optimization in decentralized networks and proposes a novel single-loop algorithm for…

Optimization and Control · Mathematics 2024-04-24 Youran Dong , Shiqian Ma , Junfeng Yang , Chao Yin

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

Optimization and Control · Mathematics 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

In this work, we consider the integration of MPI one-sided communication and non-blocking I/O in HPC-centric MapReduce frameworks. Using a decoupled strategy, we aim to overlap the Map and Reduce phases of the algorithm by allowing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Sergio Rivas-Gomez , Sai Narasimhamurthy , Keeran Brabazon , Oliver Perks , Erwin Laure , Stefano Markidis

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu

We consider the unit commitment (UC) problem that employs the alternating current optimal power flow (ACOPF) constraints, which is formulated as a mixed-integer nonlinear programming problem and thus challenging to solve in practice. We…

Optimization and Control · Mathematics 2023-10-23 Weiqi Zhang , Youngdae Kim , Kibaek Kim

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

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

Optimization and Control · Mathematics 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

A unified approach to energy-efficient power control, applicable to a large family of receivers including the matched filter, the decorrelator, the (linear) minimum-mean-square-error detector (MMSE), and the individually and jointly optimal…

Information Theory · Computer Science 2007-07-13 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Dongning Guo

Spatially-Coupled (SC)-LDPC codes are known to have outstanding error-correction performance and low decoding latency. Whereas previous works on LDPC and SC-LDPC codes mostly take either an asymptotic or a finite-length design approach, in…

Information Theory · Computer Science 2022-09-02 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

Scalable decentralized optimization in large-scale systems hinges on efficient communication. A common way to reduce communication overhead is to perform multiple local updates between two communication rounds, as in federated learning.…

Optimization and Control · Mathematics 2025-11-10 Jie Liu , Zuang Wang , Yongqiang Wang

Cooperative Co-evolution, through the decomposition of the problem space, is a primary approach for solving large-scale global optimization problems. Typically, when the subspaces are disjoint, the algorithms demonstrate significantly both…

Neural and Evolutionary Computing · Computer Science 2025-03-31 Wenjie Qiu , Hongshu Guo , Zeyuan Ma , Yue-Jiao Gong

This paper proposes a Clustered Unit Commitment (CUC) formulation to accurately model flexibility requirements such as ramping, reserve, and startup/shutdown constraints. The CUC is commonly applied in large and long-term planning models to…

Optimization and Control · Mathematics 2019-06-21 German Morales-Espana , Diego A. Tejada-Arango

Dual decomposition is widely utilized in distributed optimization of multi-agent systems. In practice, the dual decomposition algorithm is desired to admit an asynchronous implementation due to imperfect communication, such as time delay…

Optimization and Control · Mathematics 2021-03-05 Yifan Su , Zhaojian Wang , Ming Cao , Mengshuo Jia , Feng Liu
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