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Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

Proximal methods such as the Alternating Direction Method of Multipliers (ADMM) are effective at solving constrained quadratic programs (QPs). To tackle infeasible QPs, slack variables are often introduced to ensure feasibility, which…

Optimization and Control · Mathematics 2026-04-13 Thomas Lew , Marcus Greiff , John Subosits , Brian Plancher

By coordinating terminal smart devices or microprocessors to engage in cooperative computation to achieve systemlevel targets, distributed optimization is incrementally favored by both engineering and computer science. The well-known…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-24 Yu Yang , Xiaohong Guan , Qing-Shan Jia , Liang Yu , Bolun Xu , Costas J. Spanos

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

Large Language Models (LLMs) have achieved remarkable success across a wide spectrum of natural language processing tasks. However, their ever-growing scale introduces significant barriers to real-world deployment, including substantial…

Computation and Language · Computer Science 2026-01-07 Guangxin Wu , Hao Zhang , Zhang Zhibin , Jiafeng Guo , Xueqi Cheng

For the practical implementation of massive multiple-input multiple-output (MIMO) systems, the hybrid processing (precoding/combining) structure is promising to reduce the high cost rendered by large number of RF chains of the traditional…

Information Theory · Computer Science 2015-04-16 Weiheng Ni , Xiaodai Dong , Wu-Sheng Lu

We propose a decomposition framework for the parallel optimization of the sum of a differentiable (possibly nonconvex) function and a (block) separable nonsmooth, convex one. The latter term is usually employed to enforce structure in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-18 Francisco Facchinei , Gesualdo Scutari , Simone Sagratella

Distributed optimization for solving non-convex Optimal Power Flow (OPF) problems in power systems has attracted tremendous attention in the last decade. Most studies are based on the geographical decomposition of IEEE test systems for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-01 Junyao Guo , Gabriela Hug , Ozan Tonguz

In this paper, we present a distributed algorithm utilizing the proximal alternating direction method of multipliers (ADMM) in conjunction with sequential constraint tightening to address mixed-integer quadratic programming (MIQP) problems…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Viet-Anh Le , Andreas A. Malikopoulos

We consider a microgrid where different prosumers exchange energy altogether by the edges of a given network. Each prosumer is located to a node of the network and encompasses energy consumption, energy production and storage capacities…

Optimization and Control · Mathematics 2019-12-24 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , François Pacaud

Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged…

Cryptography and Security · Computer Science 2018-10-09 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Efficient arithmetic circuit design for resourceconstrained hardware involves challenging combinatorial optimization problems, among which Multiple Constant Multiplication (MCM) is a prominent example. MCM aims at implementing…

Hardware Architecture · Computer Science 2026-05-26 Théo Cantaloube , Nicolai Fiege , Anastasia Volkova , Christine Solnon

Multi-group multicast beamforming in wireless systems with large antenna arrays and massive audience is investigated in this paper. Multicast beamforming design is a well-known non-convex quadratically constrained quadratic programming…

Information Theory · Computer Science 2017-03-07 Erkai Chen , Meixia Tao

Sensitivity-based distributed programming (SBDP) is a decomposition method for solving large-scale nonlinear programs over graph-structured networks. However, its convergence depends on the strength and structure of subsystem coupling. To…

Optimization and Control · Mathematics 2026-05-20 Maximilian Pierer von Esch , Andreas Völz , Knut Graichen

We propose a novel methodology for solving a two-stage adjustable robust convex optimisation problem with a general (proximable) convex objective function and constraints defined by sum-of-squares (SOS) convex polynomials. These problems…

Optimization and Control · Mathematics 2026-02-17 Neil D. Dizon , Bethany I. Caldwell , Vaithilingam Jeyakumar , Guoyin Li

The control of large buildings encounters challenges in computational efficiency due to their size and nonlinear components. To address these issues, this paper proposes a Piecewise Affine (PWA)-based distributed scheme for Model Predictive…

Optimization and Control · Mathematics 2026-02-06 Hongyi Li , Jun Xu , Jinfeng Liu

The integration of cooperative and non-cooperative localization is fundamentally important, as these two modes frequently coexist in wireless sensor networks, especially when sensor positions are uncertain and targets are unable to…

Optimization and Control · Mathematics 2026-04-01 Qiaojia Zhu , Xiaojing Shen , Haiqi Liu , Pramod K. Varshney

A two-user downlink network aided by a reconfigurable intelligent surface is considered. The weighted sum signal to interference plus noise ratio maximization and the sum rate maximization models are presented, where the precoding vectors…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Cong Sun , Xian Liu , Bile Peng , Eduard Jorswieck

Our work presents a new iterative scheme to approximate the fixed points of nonexpansive mapping. The proposed algorithm is constructed to enhance convergence efficiency while preserving theoretical robustness. Under appropriate assumptions…

Functional Analysis · Mathematics 2026-01-12 Nida Izhar Mallick , Izhar Uddin