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The library PRAND for pseudorandom number generation for modern CPUs and GPUs is presented. It contains both single-threaded and multi-threaded realizations of a number of modern and most reliable generators recently proposed and studied in…

Computational Physics · Physics 2014-02-18 L. Yu. Barash , L. N. Shchur

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

We apply methods from randomized numerical linear algebra (RandNLA) to develop improved algorithms for the analysis of large-scale time series data. We first develop a new fast algorithm to estimate the leverage scores of an autoregressive…

Methodology · Statistics 2021-11-02 Ali Eshragh , Fred Roosta , Asef Nazari , Michael W. Mahoney

We describe the first nearly linear-time approximation algorithms for explicitly given mixed packing/covering linear programs, and for (non-metric) fractional facility location. We also describe the first parallel algorithms requiring only…

Data Structures and Algorithms · Computer Science 2014-11-06 Neal E. Young

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

We propose a novel algorithm for fast training of variational classifiers by processing multiple samples parallelly. The algorithm can be adapted for any ansatz used in the variational circuit. The presented algorithm utilizes qRAM and…

Quantum Physics · Physics 2020-12-01 Siddharth Dangwal , Ritvik Sharma , Debanjan Bhowmik

Regular expression matching is essential for many applications, such as finding patterns in text, exploring substrings in large DNA sequences, or lexical analysis. However, sequential regular expression matching may be time-prohibitive for…

Formal Languages and Automata Theory · Computer Science 2015-06-30 Suejb Memeti , Sabri Pllana

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

Strong and weak simulation relations have been proposed for Markov chains, while strong simulation and strong probabilistic simulation relations have been proposed for probabilistic automata. However, decision algorithms for strong and weak…

Logic in Computer Science · Computer Science 2015-07-01 Lijun Zhang , Holger Hermanns , Friedrich Eisenbrand , David N. Jansen

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

Graph partitioning is a key fundamental problem in the area of big graph computation. Previous works do not consider the practical requirements when optimizing the big data analysis in real applications. In this paper, motivated by…

Databases · Computer Science 2024-04-10 Baoling Ning , Jianzhong Li

In this study, we have developed a parallel version of the random time simulation algorithm. Firstly, we gave a rigorous basis of the random time description of the stochastic process of chemical reaction network time evolution. And then we…

Molecular Networks · Quantitative Biology 2021-03-02 Chuanbo Liu , Jin Wang

Maximum bipartite matching (MBM) is a fundamental problem in combinatorial optimization with a long and rich history. A classic result of Hopcroft and Karp (1973) provides an $O(m \sqrt{n})$-time algorithm for the problem, where $n$ and $m$…

Data Structures and Algorithms · Computer Science 2024-06-03 Julia Chuzhoy , Sanjeev Khanna

Among the many possible approaches for the parallelization of self-organizing networks, and in particular of growing self-organizing networks, perhaps the most common one is producing an optimized, parallel implementation of the standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-31 Giacomo Parigi , Angelo Stramieri , Danilo Pau , Marco Piastra

Graph partitioning has many applications in powersystems from decentralized state estimation to parallel simulation. Focusing on parallel simulation, optimal grid partitioning minimizes the idle time caused by different simulation times for…

Systems and Control · Electrical Eng. & Systems 2025-07-14 Carsten Hartmann , Junjie Zhang , Carlos D. Gonzalez Calaza , Thiemo Pesch , Kristel Michielsen , Andrea Benigni

A random search algorithm intended to solve discrete optimization problems is considered. We outline the main components of the algorithm, and then describe it in more detail. We show how the algorithm can be implemented on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-13 Nikolai K. Krivulin , Dennis Guster , Charles Hall

The creation of practical deep learning data-products often requires parallelization across processors and computers to make deep learning feasible on large data sets, but bottlenecks in communication bandwidth make it difficult to attain…

Neural and Evolutionary Computing · Computer Science 2016-02-22 Tim Dettmers

A fundamental question that shrouds the emergence of massively parallel computing (MPC) platforms is how can the additional power of the MPC paradigm be leveraged to achieve faster algorithms compared to classical parallel models such as…

Data Structures and Algorithms · Computer Science 2018-05-09 Sepehr Assadi , Xiaorui Sun , Omri Weinstein

Achieving completeness in the motion planning problem demands substantial computation power, especially in high dimensions. Recent developments in parallel computing have rendered this more achievable. We introduce an embarrassingly…

Robotics · Computer Science 2024-06-10 Sihui Li , Neil T. Dantam

We present an optimized algorithm calculating determinant for multivariate polynomial matrix on GPU. The novel algorithm provides precise determinant for input multivariate polynomial matrix in controllable time. Our approach is based on…

Numerical Analysis · Mathematics 2020-10-26 Jianjun Wei , Liangyu Chen