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We present a computational framework for piecewise constant functions (PCFs) and use this for several types of computations that are useful in statistics, e.g., averages, similarity matrices, and so on. We give a linear-time,…

Computation · Statistics 2024-04-11 Björn H. Wehlin

The discrete wavelet transform can be found at the heart of many image-processing algorithms. Until now, the transform on general-purpose processors (CPUs) was mostly computed using a separable lifting scheme. As the lifting scheme consists…

Computer Vision and Pattern Recognition · Computer Science 2017-09-27 David Barina , Pavel Najman , Petr Kleparnik , Michal Kula , Pavel Zemcik

The Breadth-First Search (BFS) algorithm is an important building block for graph analysis of large datasets. The BFS parallelisation has been shown to be challenging because of its inherent characteristics, including irregular memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-21 Mireya Paredes , Graham Riley , Mikel Lujan

We design and implement parallel prefix sum (scan) algorithms using Ascend AI accelerators. Ascend accelerators feature specialized computing units: the cube units for efficient matrix multiplication and the vector units for optimized…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-05 Bartłomiej Wróblewski , Gioele Gottardo , Anastasios Zouzias

We examine the problem of optimizing classification tree evaluation for on-line and real-time applications by using GPUs. Looking at trees with continuous attributes often used in image segmentation, we first put the existing algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-08 Jason Spencer

Intel Xeon Phi many-integrated-core (MIC) architectures usher in a new era of terascale integration. Among emerging killer applications, parallel graph processing has been a critical technique to analyze connected data. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-26 Lei Jiang , Langshi Chen , Judy Qiu

Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, particularly for triple- and quadruple-precision computations.…

Mathematical Software · Computer Science 2026-05-08 Tomonori Kouya

We have proposed a method to accelerate the computation of Kubo formula optimized to vector processors. The key concept is parallel evaluation of multiple integration points, enabled by batched linear algebra operations. Through benchmark…

Materials Science · Physics 2023-09-14 Yuta Yahagi , Toshihiro Kato

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

Methodology · Statistics 2026-02-16 Zishi Zhang , Yijie Peng

In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level of accuracy the optimal variable stepsize determines higher order of the method than in…

Numerical Analysis · Mathematics 2021-10-20 I. Hristov , R. Hristova , S. Dimova , P. Armyanov , N. Shegunov , I. Puzynin , T. Puzynina , Z. Sharipov , Z. Tukhliev

We present a parallel algorithm for the fast Fourier transform (FFT) in higher dimensions. This algorithm generalizes the cyclic-to-cyclic one-dimensional parallel algorithm to a cyclic-to-cyclic multidimensional parallel algorithm while…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-12 Thomas Koopman , Rob H. Bisseling

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

We present a parallel FFT algorithm for SIMD systems following the `Transpose Algorithm' approach. The method is based on the assignment of the data field onto a 1-dimensional ring of systolic cells. The systolic array can be universally…

High Energy Physics - Lattice · Physics 2015-06-25 Thomas Lippert , Klaus Schilling , Federico Toschi , Sven Trentmann , Raffaele Tripiccione

Applications often require a fast, single-threaded search algorithm over sorted data, typical in table-lookup operations. We explore various search algorithms for a large number of search candidates over a relatively small array of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-09 Benjamin Mastripolito , Nicholas Koskelo , Dylan Weatherred , David A. Pimentel , Daniel Sheppard , Anna Pietarila Graham , Laura Monroe , Robert Robey

Matrix-multiplication units (MXUs) are now prevalent in every computing platform. The key attribute that makes MXUs so successful is the semiring structure, which allows tiling for both parallelism and data reuse. Nonetheless,…

Hardware Architecture · Computer Science 2022-09-02 Yunan Zhang , Po-An Tsai , Hung-Wei Tseng

Graphs have become a key tool when modeling and solving problems in different areas. The Floyd-Warshall (FW) algorithm computes the shortest path between all pairs of vertices in a graph and is employed in areas like communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Sergio Calderón , Enzo Rucci , Franco Chichizola

The increasing use of heterogeneous embedded systems with multi-core CPUs and Graphics Processing Units (GPUs) presents important challenges in effectively exploiting pipeline, task and data-level parallelism to meet throughput requirements…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Shuoxin Lin , Jiahao Wu , Shuvra S. Bhattacharyya

Large-number arithmetic, widely used in scientific computing and cryptography, has seen limited adoption of single instruction, multiple data (SIMD) parallelism on modern CPUs due to the inherent dependencies in traditional algorithms. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-27 Subhrajit Das , Abhishek Bichhawat , Yuvraj Patel

In light of the rapidly growing large-scale data in federated ecosystems, the traditional principal component analysis (PCA) is often not applicable due to privacy protection considerations and large computational burden. Algorithms were…

Methodology · Statistics 2025-08-27 Shuting Shen , Junwei Lu , Xihong Lin

Nested parallelism exists in scientific codes that are searching multi-dimensional spaces. However, implementations of nested parallelism often have overhead and load balance issues. The Orbital Analysis code we present exhibits a sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 Benjamin James Gaska , Neha Jothi , Mahdi Soltan Mohammadi , Kat Volk , Michelle Mills Strout