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In computational science and data analytics, many workloads involve irregular and sparse computations that are inherently difficult to optimize for modern hardware. A key kernel is Sparse General Matrix-Matrix Multiplication (SpGEMM), which…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 Yifan Li , Giulia Guidi

We introduce Stream-K, a work-centric parallelization of matrix multiplication (GEMM) and related computations in dense linear algebra. Whereas contemporary decompositions are primarily tile-based, our method operates by partitioning an…

Data Structures and Algorithms · Computer Science 2023-01-11 Muhammad Osama , Duane Merrill , Cris Cecka , Michael Garland , John D. Owens

We propose different implementations of the sparse matrix--dense vector multiplication (\spmv{}) for finite fields and rings $\Zb/m\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

Databases · Computer Science 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

Deep learning implementations on CPUs (Central Processing Units) are gaining more traction. Enhanced AI capabilities on commodity x86 architectures are commercially appealing due to the reuse of existing hardware and virtualization ease. A…

Machine Learning · Computer Science 2021-03-22 Shabnam Daghaghi , Nicholas Meisburger , Mengnan Zhao , Yong Wu , Sameh Gobriel , Charlie Tai , Anshumali Shrivastava

In this work we propose an accelerated stochastic learning system for very large-scale applications. Acceleration is achieved by mapping the training algorithm onto massively parallel processors: we demonstrate a parallel, asynchronous GPU…

Machine Learning · Computer Science 2017-02-24 Thomas Parnell , Celestine Dünner , Kubilay Atasu , Manolis Sifalakis , Haris Pozidis

Due to the advent of multicore architectures and massive parallelism, the tiled Cholesky factorization algorithm has recently received plenty of attention and is often referenced by practitioners as a case study. It is also implemented in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Willy Quach , Julien Langou

Sparse triangular solve (SpTRSV) is widely used in various domains. Numerous studies have been conducted using CPUs, GPUs, and specific hardware accelerators, where dataflows can be categorized into coarse and fine granularity. Coarse…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-19 Qian Chen , Xiaofeng Yang , Shengli Lu

We develop a family of parallel algorithms for the SpKAdd operation that adds a collection of k sparse matrices. SpKAdd is a much needed operation in many applications including distributed memory sparse matrix-matrix multiplication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Md Taufique Hussain , Guttu Sai Abhishek , Aydin Buluç , Ariful Azad

The rapidly enlarging neural network models are becoming increasingly challenging to run on a single device. Hence model parallelism over multiple devices is critical to guarantee the efficiency of training large models. Recent proposals…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-02 Hengwei Xu , Yong Liao , Haiyong Xie , Pengyuan Zhou

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

If learning methods are to scale to the massive sizes of modern datasets, it is essential for the field of machine learning to embrace parallel and distributed computing. Inspired by the recent development of matrix factorization methods…

Machine Learning · Computer Science 2013-10-29 Lester Mackey , Ameet Talwalkar , Michael I. Jordan

Block-tridiagonal systems are prevalent in state estimation and optimal control, and solving these systems is often the computational bottleneck. Improving the underlying solvers therefore has a direct impact on the real-time performance of…

Mathematical Software · Computer Science 2025-12-05 David Jin , Alexis Montoison , Sungho Shin

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

Approximating partial differential equations for extensive industrial and scientific applications requires leveraging the power of modern high-performance computing. In large-scale parallel computations, the geometrical discretisation…

Numerical Analysis · Mathematics 2024-12-30 Pere A. Martorell , Santiago Badia

We demonstrate an FPGA implementation of a parallel and reconfigurable architecture for sparse neural networks, capable of on-chip training and inference. The network connectivity uses pre-determined, structured sparsity to significantly…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-29 Sourya Dey , Diandian Chen , Zongyang Li , Souvik Kundu , Kuan-Wen Huang , Keith M. Chugg , Peter A. Beerel

We describe a high-performance implementation of the lattice-Boltzmann method (LBM) for sparse geometries on graphic processors. In our implementation we cover the whole geometry with a uniform mesh of small tiles and carry out calculations…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-30 Tadeusz Tomczak , Roman G. Szafran

Exploiting sparsity underlying neural networks has become one of the most potential methodologies to reduce the memory footprint, I/O cost, and computation workloads during inference. And the degree of sparsity one can exploit has become…

Hardware Architecture · Computer Science 2022-07-19 Ian En-Hsu Yen , Zhibin Xiao , Dongkuan Xu

The majority of research in both training Artificial Neural Networks (ANNs) and modeling learning in biological brains focuses on synaptic plasticity, where learning equates to changing the strength of existing connections. However, in…

Neural and Evolutionary Computing · Computer Science 2026-03-13 James C. Knight , Johanna Senk , Thomas Nowotny
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