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In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

Numerical Analysis · Mathematics 2024-03-11 Dietmar Gallistl , Roland Maier

Large-scale neural mass models have been widely used to simulate resting-state brain activity from structural connectivity. In this work, we extend a well-established Wilson--Cowan framework by introducing a novel hemispheric-specific…

Neurons and Cognition · Quantitative Biology 2025-08-19 Ramiro Plüss , Hernán Villota , Patricio Orio

Decentralized learning enables edge users to collaboratively train models by exchanging information via device-to-device communication, yet prior works have been limited to wireless networks with fixed topologies and reliable workers. In…

Information Theory · Computer Science 2022-02-03 Eunjeong Jeong , Matteo Zecchin , Marios Kountouris

Serverless computing is increasingly being used for parallel computing, which have traditionally been implemented as stateful applications. Executing complex, burst-parallel, directed acyclic graph (DAG) jobs poses a major challenge for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-15 Benjamin Carver , Jingyuan Zhang , Ao Wang , Ali Anwar , Panruo Wu , Yue Cheng

With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchronous decentralized solution framework for the Unit…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Paritosh Ramanan , Murat Yildirim , Edmond Chow , Nagi Gebraeel

The coupled (chaotic) map lattices (CMLs) characterizes the collective dynamics of a spatially distributed system consisting of locally or globally coupled maps. The current research on the dynamic behavior of CMLs is based on the framework…

Dynamical Systems · Mathematics 2025-07-22 Junke Zhang , Yiqian Wang

In this paper, we develop and analyze a rigorous multiscale upscaling method for dual continuum model, which serves as a powerful tool in subsurface formation applications. Our proposed method is capable of identifying different continua…

Numerical Analysis · Mathematics 2020-11-04 Jingyan Zhang , Siu Wun Cheung

In this paper, we present a compositional methodology for constructing symbolic models of nonlinear interconnected impulsive systems. Our approach relies on the concept of "alternating simulation function" to establish a relationship…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Sadek Belamfedel Alaoui , Adnane Saoud , Pushpak Jagtap , Abdalla Swikir

The establishment of generalized chaotic synchronization in Ginzburg-Landau equations unidirectionally coupled at discrete points of space (local coupling) has been studied. It is shown that generalized syn-chronization regimes are also…

Chaotic Dynamics · Physics 2007-05-23 P. V. Popov , A. A. Koronovskii , A. E. Hramov

The atomistic-to-continuum (a/c) coupling methods, also known as the quasicontinuum (QC) methods, are a important class of concurrent multisacle methods for modeling and simulating materials with defects. The a/c methods aim to balance the…

Numerical Analysis · Mathematics 2025-02-25 Yanbo Zhan , Yangshuai Wang , Hao Wang

Temporal Graph Neural Networks (TGNNs) are powerful models to capture temporal, structural, and contextual information on temporal graphs. The generated temporal node embeddings outperform other methods in many downstream tasks. Real-world…

Hardware Architecture · Computer Science 2022-03-11 Hongkuan Zhou , Bingyi Zhang , Rajgopal Kannan , Viktor Prasanna , Carl Busart

Synchronization of coupled dynamical systems is a widespread phenomenon in both biological and engineered networks, and understanding this behavior is crucial for controlling such systems. Considerable research has been dedicated to…

Chaotic Dynamics · Physics 2023-07-04 Fatou K. Ndow , Zahra Aminzare

The synchrony and variability have been discussed of the coupled Langevin model subjected to spatially correlated additive and multiplicative noise. We have employed numerical simulations and the analytical augmented-moment method which is…

Disordered Systems and Neural Networks · Physics 2009-11-13 Hideo Hasegawa

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

The traditional sparse modeling approach, when applied to inverse problems with large data such as images, essentially assumes a sparse model for small overlapping data patches. While producing state-of-the-art results, this methodology is…

Information Theory · Computer Science 2017-02-14 Dmitry Batenkov , Yaniv Romano , Michael Elad

In this paper, we address the problem of detecting the moment when an ongoing asynchronous parallel iterative process can be terminated to provide a sufficiently precise solution to a fixed-point problem being solved. Formulating the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Guillaume Gbikpi-Benissan , Frederic Magoules

Graphs are omnipresent and GNNs are a powerful family of neural networks for learning over graphs. Despite their popularity, scaling GNNs either by deepening or widening suffers from prevalent issues of unhealthy gradients,…

Machine Learning · Computer Science 2023-08-25 Ajay Jaiswal , Shiwei Liu , Tianlong Chen , Ying Ding , Zhangyang Wang

Shared resource interference is observed by applications as dynamic performance asymmetry. Prior art has developed approaches to reduce the impact of performance asymmetry mainly at the operating system and architectural levels. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Jing Chen , Pirah Noor Soomro , Mustafa Abduljabbar , Madhavan Manivannan , Miquel Pericas

We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we…

Pattern Formation and Solitons · Physics 2009-11-10 Govindan Rangarajan , Yonghong Chen , Mingzhou Ding