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Mathematica is a powerful application package for doing mathematics and is used almost in all branches of science. It has widespread applications ranging from quantum computation, statistical analysis, number theory, zoology, astronomy, and…

Mathematical Software · Computer Science 2015-10-29 Santanu K. Maiti

This paper presents the design, implementation, and evaluation of the PyTorch distributed data parallel module. PyTorch is a widely-adopted scientific computing package used in deep learning research and applications. Recent advances in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Shen Li , Yanli Zhao , Rohan Varma , Omkar Salpekar , Pieter Noordhuis , Teng Li , Adam Paszke , Jeff Smith , Brian Vaughan , Pritam Damania , Soumith Chintala

The 2-D discrete wavelet transform (DWT) can be found in the heart of many image-processing algorithms. Until recently, several studies have compared the performance of such transform on various shared-memory parallel architectures,…

Performance · Computer Science 2017-05-30 David Barina , Michal Kula , Michal Matysek , Pavel Zemcik

Thermodynamic computing exploits fluctuations and dissipation in physical systems to efficiently solve various mathematical problems. For example, it was recently shown that certain linear algebra problems can be solved thermodynamically,…

Statistical Mechanics · Physics 2024-01-08 Samuel Duffield , Maxwell Aifer , Gavin Crooks , Thomas Ahle , Patrick J. Coles

A variety of complicated computational scenarios have made unprecedented demands on the computing power and energy efficiency of electronic computing systems, including solving intractable nondeterministic polynomial-time (NP)-complete…

Optimization problems are central to many important cross-disciplinary applications.In their conventional implementations, the sequential nature of operations imposes strict limitations on the computational efficiency. Here, we discuss how…

Disordered Systems and Neural Networks · Physics 2025-10-09 Ghazi Sarwat Syed , Philipp Schmidt , Frank Brückerhoff-Plückelmann , Jelle Dijkstra , Wolfram H. P Pernice , Abu Sebastian

Diffusion models have achieved remarkable progress in high-fidelity image, video, and audio generation, yet inference remains computationally expensive. Nevertheless, current diffusion acceleration methods based on distributed parallelism…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Euisoo Jung , Byunghyun Kim , Hyunjin Kim , Seonghye Cho , Jae-Gil Lee

An efficient computational scheme devised for investigations of ground state properties of the electronically correlated systems is presented. As an example, $(H_{2})_{n}$ chain is considered with the long-range electron-electron…

Strongly Correlated Electrons · Physics 2015-12-24 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

We consider the problem of fitting a parametric model to time-series data that are afflicted by correlated noise. The noise is represented by a sum of two stationary Gaussian processes: one that is uncorrelated in time, and another that has…

Earth and Planetary Astrophysics · Physics 2014-11-20 Joshua A. Carter , Joshua N. Winn

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an…

Numerical Analysis · Mathematics 2023-01-31 Raphael Watschinger , Michal Merta , Günther Of , Jan Zapletal

Neural network (NN) accelerators with multi-chip-module (MCM) architectures enable integration of massive computation capability; however, they face challenges of computing resource underutilization and off-chip communication overheads.…

Hardware Architecture · Computer Science 2026-02-17 Zongle Huang , Hongyang Jia , Kaiwei Zou , Yongpan Liu

In the search for improved computational capabilities, conventional microelectronic computers are facing various problems arising from the miniaturization and concentration of active electronics devices (1-2). Therefore, researchers have…

Optics · Physics 2025-09-24 Miguel Camacho , Brian Edwards , Nader Engheta

The aim of this paper is to develop an approach to visualizations that benefits from distributed computing. Three schemes of process distribution are considered: parallel, pipeline, and expanding pipeline computations. Expanding pipeline…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Mark Burgin , Walter Karplus , Damon Liu

Incoherent photonic neural networks (PNNs) provide a robust platform for analog optical computing, yet efficient implementation of native signed operations remains challenging. Existing incoherent PNNs approaches often require additional…

Optics · Physics 2026-05-21 Yuan Ren , Yong Zheng , Ruixue Liu , Yunpeng Song , Qinfen Huang , Min Wang , Ya Cheng

Modern out-of-order processors have increased capacity to exploit instruction level parallelism (ILP) and memory level parallelism (MLP), e.g., by using wide superscalar pipelines and vector execution units, as well as deep buffers for…

Programming Languages · Computer Science 2018-07-05 Vladimir Kiriansky , Haoran Xu , Martin Rinard , Saman Amarasinghe

There are existing standard solvers for tackling discrete optimization problems. However, in practice, it is uncommon to apply them directly to the large input space typical of this class of problems. Rather, the input is preprocessed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Bolarinwa Olayemi Saheed

Recent advances in random-walk particle-tracking have enabled direct simulation of mixing and reactions on particles by allowing the particles to interact with each other using a multi-point mass transfer scheme. The mass transfer scheme…

Computational Physics · Physics 2019-04-22 Nicholas B. Engdahl , Michael J. Schmidt , David A. Benson

Diffusion models have become a leading method for generative modeling of both image and scientific data. As these models are costly to train and \emph{evaluate}, reducing the inference cost for diffusion models remains a major goal.…

Machine Learning · Computer Science 2025-12-01 Haoxuan Chen , Yinuo Ren , Lexing Ying , Grant M. Rotskoff

An efficient algorithm for calculating radiative transfer on massively parallel computers using domain decomposition is presented. The integral formulation of the transfer equation is used to divide the problem into a local but…

Astrophysics · Physics 2007-05-23 T. Heinemann , W. Dobler , A. Nordlund , A. Brandenburg

A hybrid scheme that utilizes MPI for distributed memory parallelism and OpenMP for shared memory parallelism is presented. The work is motivated by the desire to achieve exceptionally high Reynolds numbers in pseudospectral computations of…

Computational Physics · Physics 2010-03-24 Pablo D. Mininni , Duane L. Rosenberg , Raghu Reddy , Annick Pouquet
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