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The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

Machine Learning · Computer Science 2019-03-05 Frank Wang , Danjue Li

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

Systems and Control · Electrical Eng. & Systems 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

Co-simulation offers an integrated approach for modeling the large-scale integration of inverter-based resources (IBRs) into transmission and distribution grids. This paper presents a scalable communication interface design and…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Qi Xiao , Jongha Woo , Lidong Song , Ning Lu , Victor Paduani

This work addresses an efficient Global-Local approach supplemented with predictor-corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on…

Numerical Analysis · Mathematics 2020-02-19 Nima Noii , Fadi Aldakheel , Thomas Wick , Peter Wriggers

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

Parallel split learning (PSL) suffers from two intertwined issues: the effective batch size grows with the number of clients, and data that is not identically and independently distributed (non-IID) skews global batches. We present parallel…

Machine Learning · Computer Science 2026-03-06 Mohammad Kohankhaki , Ahmad Ayad , Mahdi Barhoush , Anke Schmeink

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

Spatial data are central to applications such as environmental monitoring and urban planning, but are often distributed across devices where privacy and communication constraints limit direct sharing. Federated modeling offers a practical…

Methodology · Statistics 2025-10-03 Jianwei Shi , Sameh Abdulah , Ying Sun , Marc G. Genton

Two-dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood. The action of the neighborhood on individual maps can be implemented in terms of "causal"…

Chaotic Dynamics · Physics 2015-06-26 H. Atmanspacher , H. Scheingraber

In this work, we propose a novel framework for large-scale Gaussian process (GP) modeling. Contrary to the global, and local approximations proposed in the literature to address the computational bottleneck with exact GP modeling, we employ…

Machine Learning · Statistics 2023-12-19 Akhil Vakayil , Roshan Joseph

The problem of time synchronization in dense wireless networks is considered. Well established synchronization techniques suffer from an inherent scalability problem in that synchronization errors grow with an increasing number of hops…

Information Theory · Computer Science 2007-07-16 An-swol Hu , Sergio D. Servetto

In this paper, new schemes to synchronize linearly or nonlinearly coupled chaotic systems with an adaptive coupling strength are proposed. Unlike other adaptive schemes, which synchronize coupled chaotic systems to a special trajectory (or…

Dynamical Systems · Mathematics 2007-05-23 Xiwei Liu Tianping Chen

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

Communication overhead is one of the key challenges that hinders the scalability of distributed optimization algorithms. In this paper, we study local distributed SGD, where data is partitioned among computation nodes, and the computation…

Machine Learning · Computer Science 2020-05-15 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Viveck R. Cadambe

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

Chaotic Dynamics · Physics 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt

Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids.…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

The parallel solution of large scale non-linear programming problems, which arise for example from the discretization of non-linear partial differential equations, is a highly demanding task. Here, a novel solution strategy is presented,…

Numerical Analysis · Mathematics 2021-04-13 Christian Gross , Rolf Krause

This paper presents a system-level optimization framework for automated asynchronous SAR ADC design, addressing the limitations of block-level methods in terms of suboptimal performance and manual effort. The proposed approach integrates a…

Optimization and Control · Mathematics 2025-07-29 Yijia Hao , Ken Li , Miguel Gandara , Shaolan Li , Bo Liu

A rigorous mathematical framework is provided for a substructuring-based domain-decomposition approach for nonlocal problems that feature interactions between points separated by a finite distance. Here, by substructuring it is meant that a…

Numerical Analysis · Mathematics 2020-08-28 Giacomo Capodaglio , Marta D'Elia , Max Gunzburger , Pavel Bochev , Manuel Klar , Christian Vollmann

In this paper, inspired by the idea that the hub nodes of a highly heterogeneous network are not only the bottlenecks, but also effective controllers in the network synchronizing process, we bring forward an asymmetrical coupling method…

Statistical Mechanics · Physics 2009-11-11 Ming Zhao , Tao Zhou , Bing-Hong Wang , Qing Ou , Jie Ren