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Coupled cluster theory is a vital cornerstone of electronic structure theory and is being applied to ever-larger systems. Stochastic approaches to quantum chemistry have grown in importance and offer compelling advantages over traditional…

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

Dynamical Systems · Mathematics 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

We study the popular distributed consensus method over networks composed of a number of densely connected clusters with a sparse connection between them. In these cluster networks, the method often constitutes two-time-scale dynamics, where…

Optimization and Control · Mathematics 2022-09-14 Amit Dutta , Almuatazbellah M. Boker , Thinh T. Doan

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

We propose an asynchronous iterative scheme that allows a set of interconnected nodes to distributively reach an agreement within a pre-specified bound in a finite number of steps. While this scheme could be adopted in a wide variety of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Andreas Grammenos , Themistoklis Charalambous , Evangelia Kalyvianaki

Accurate performance estimation of future many-node machines is challenging because it requires detailed simulation models of both node and network. However, simulating the full system in detail is unfeasible in terms of compute and memory…

Performance · Computer Science 2024-01-19 Stijn Eyerman , Wim Heirman , Kristof Du Bois , Ibrahim Hur

Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. In this work, the processes are governed by the overdamped Langevin equation. Such processes spend much of…

Numerical Analysis · Mathematics 2012-09-04 Gideon Simpson , Mitchell Luskin

We study cluster synchronization in networks and show that the stability of all possible cluster synchronization patterns depends on a small set of Lyapunov exponents. Our approach can be applied to clusters corresponding to both orbital…

Chaotic Dynamics · Physics 2018-04-26 Abu Bakar Siddique , Louis Pecora , Joe Hart , Francesco Sorrentino

The problem of automatically clustering data is an age old problem. People have created numerous algorithms to tackle this problem. The execution time of any of this algorithm grows with the number of input points and the number of cluster…

Machine Learning · Computer Science 2014-12-08 Aditya AV Sastry , Kalyan Netti

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

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

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

On modern parallel architectures, the cost of synchronization among processors can often dominate the cost of floating-point computation. Several modifications of the existing methods have been proposed in order to keep the communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-10 Qinmeng Zou , Frederic Magoules

This article describes algorithms for the hybrid parallelization and SIMD vectorization of molecular dynamics simulations with short-range forces. The parallelization method combines domain decomposition with a thread-based parallelization…

Materials Science · Physics 2017-09-13 Chris M. Mangiardi , Ralf Meyer

Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations can additionally bring down the computational effort for each…

Statistical Mechanics · Physics 2017-04-07 Emilio Flores-Sola , Martin Weigel , Ralph Kenna , Bertrand Berche

The parallel and distributed processing are becoming de facto industry standard, and a large part of the current research is targeted on how to make computing scalable and distributed, dynamically, without allocating the resources on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Rajendra Purohit , K R Chowdhary , S D Purohit

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

Dynamical Systems · Mathematics 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process is widely viewed as incompatible with parallelization,…

Computation · Statistics 2013-12-31 Douglas N. VanDerwerken , Scott C. Schmidler

We explore how the big-three computing paradigms -- symmetric multi-processor (SMC), graphical processing units (GPUs), and cluster computing -- can together be brought to bare on large-data Gaussian processes (GP) regression problems via a…

Computation · Statistics 2014-06-05 Robert B. Gramacy , Jarad Niemi , Robin M. Weiss

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell