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Polymorphism in programming languages enables code reuse. Here, we show that polymorphism has broad applicability far beyond computations for technical computing: parallelism in distributed computing, presentation of visualizations of…

Programming Languages · Computer Science 2014-11-07 Jiahao Chen , Alan Edelman

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

The whole computer hardware industry embraced multicores. For these machines, the extreme optimisation of sequential algorithms is no longer sufficient to squeeze the real machine power, which can be only exploited via thread-level…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-21 Marco aldinucci , Salvatore Ruggieri , Massimo Torquati

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

The main goal of parallel processing is to provide users with performance that is much better than that of single processor systems. The execution of jobs is scheduled, which requires certain resources in order to meet certain criteria.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-07 Yang Cao , Fei Wu , Thomas Robertazzi

Many techniques in program synthesis, superoptimization, and array programming require parallel rollouts of general-purpose programs. GPUs, while capable targets for domain-specific parallelism, are traditionally underutilized by such…

Programming Languages · Computer Science 2026-04-15 Breandan Considine

Sorting is one of the most fundamental problems in the field of computer science. With the rapid development of manycore processors, it shows great importance to design efficient parallel sort algorithm on manycore architecture. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-18 Tianyi Yu , Wei Li

Efficient solutions of large-scale, ill-conditioned and indefinite algebraic equations are ubiquitously needed in numerous computational fields, including multiphysics simulations, machine learning, and data science. Because of their…

Mathematical Software · Computer Science 2026-05-25 Xiaoye Sherry Li , Yang Liu

Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

Quantum Physics · Physics 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

While machine learning has advanced through massive parallelization, we identify a critical blind spot: some problems are fundamentally sequential. These "inherently serial" problems-from mathematical reasoning to physical simulations to…

Machine Learning · Computer Science 2026-04-30 Yuxi Liu , Konpat Preechakul , Kananart Kuwaranancharoen , Yutong Bai

As supercomputers' complexity has grown, the traditional boundaries between processor, memory, network, and accelerators have blurred, making a homogeneous computer model, in which the overall computer system is modeled as a continuous…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-10 Martin Karp , Niclas Jansson , Philipp Schlatter , Stefano Markidis

In the area of Pattern Recognition and Matching, finding a Longest Common Subsequence plays an important role. In this paper, we have proposed one algorithm based on parallel computation. We have used OpenMP API package as middleware to…

Data Structures and Algorithms · Computer Science 2013-06-20 Tirtharaj Dash , Tanistha Nayak

A new neural network architecture (PSCNN) is developed to improve performance and speed of such networks. The architecture has all the advantages of the previous models such as self-organization and possesses some other superior…

Neural and Evolutionary Computing · Computer Science 2020-08-06 Homayoun Valafar , Faramarz Valafar , Okan Ersoy

In competitive parallel computing, the identical copies of a code in a phase of a sequential program are assigned to processor cores and the result of the fastest core is adopted. In the literature, it is reported that a superlinear speedup…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-22 Naoki Yonezawa

In this paper we prove that two heterogeneous parallel systems with independent exponentially distributed components are comparable via the star transform order while the comparison via the convex transform fails. The latter conclusion…

Probability · Mathematics 2019-01-11 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

A definition for a class of asynchronous cellular arrays is proposed. An example of such asynchrony would be independent Poisson arrivals of cell iterations. The Ising model in the continuous time formulation of Glauber falls into this…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Boris D. Lubachevsky

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

A new generation of manycore processors is on the rise that offers dozens and more cores on a chip and, in a sense, fuses host processor and accelerator. In this paper we target the efficient training of generalized linear models on these…

Performance · Computer Science 2021-10-29 Eliza Wszola , Celestine Mendler-Dünner , Martin Jaggi , Markus Püschel

Recent years have witnessed the surge of asynchronous parallel (async-parallel) iterative algorithms due to problems involving very large-scale data and a large number of decision variables. Because of asynchrony, the iterates are computed…

Optimization and Control · Mathematics 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin