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Sparse matrices, as prevalent primitive of various scientific computing algorithms, persist as a bottleneck in processing. A skew-symmetric matrix flips signs of symmetric pairs in a symmetric matrix. Our work, Parallel 3-Way Banded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Selin Yildirim , Murat Manguoglu

Achieving high efficiency with numerical kernels for sparse matrices is of utmost importance, since they are part of many simulation codes and tend to use most of the available compute time and resources. In addition, especially in large…

Performance · Computer Science 2013-05-07 Tobias Scharpff , Klaus Iglberger , Georg Hager , Ulrich Ruede

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

Sparse matrix-vector multiplication (SpMV) is a fundamental building block for numerous applications. In this paper, we propose CSR5 (Compressed Sparse Row 5), a new storage format, which offers high-throughput SpMV on various platforms…

Mathematical Software · Computer Science 2015-04-13 Weifeng Liu , Brian Vinter

Multiplication of two sparse matrices is a key operation in the simulation of the electronic structure of systems containing thousands of atoms and electrons. The highly optimized sparse linear algebra library DBCSR (Distributed Block…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-13 Iain Bethune , Andeas Gloess , Juerg Hutter , Alfio Lazzaro , Hans Pabst , Fiona Reid

Sparse matrix vector multiplication (SpMV) is central to numerous data-intensive applications, but requires streaming indirect memory accesses that severely degrade both processing and memory throughput in state-of-the-art architectures.…

Hardware Architecture · Computer Science 2023-11-20 Chi Zhang , Paul Scheffler , Thomas Benz , Matteo Perotti , Luca Benini

With the fast growth of parameter size, it becomes increasingly challenging to deploy large generative models as they typically require large GPU memory consumption and massive computation. Unstructured model pruning has been a common…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-20 Haojun Xia , Zhen Zheng , Yuchao Li , Donglin Zhuang , Zhongzhu Zhou , Xiafei Qiu , Yong Li , Wei Lin , Shuaiwen Leon Song

In recent years, Transformer-based language models have become the standard approach for natural language processing tasks. However, stringent throughput and latency requirements in industrial applications are limiting their adoption. To…

Machine Learning · Computer Science 2023-06-30 Haihao Shen , Hengyu Meng , Bo Dong , Zhe Wang , Ofir Zafrir , Yi Ding , Yu Luo , Hanwen Chang , Qun Gao , Ziheng Wang , Guy Boudoukh , Moshe Wasserblat

NVIDIA's 2:4 Sparse Tensor Cores deliver 2x throughput but demand strict 50% pruning -- a ratio that collapses LLM reasoning accuracy (Qwen3: 54% to 15%). Milder $(2N-2):2N$ patterns (e.g., 6:8, 25% pruning) preserve accuracy yet receive no…

Machine Learning · Computer Science 2026-03-06 Hanyong Shao , Yingbo Hao , Ting Song , Yan Xia , Di Zhang , Shaohan Huang , Xun Wu , Songchen Xu , Le Xu , Li Dong , Zewen Chi , Yi Zou , Furu Wei

Large language models (LLMs) demand significant memory and computation resources. Wafer-scale chips (WSCs) provide high computation power and die-to-die (D2D) bandwidth but face a unique trade-off between on-chip memory and compute…

Hardware Architecture · Computer Science 2025-12-17 Huizheng Wang , Taiquan Wei , Zichuan Wang , Dingcheng Jiang , Qize Yang , Jiaxin Liu , Jingxiang Hou , Chao Li , Jinyi Deng , Yang Hu , Shouyi Yin

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

The growing demand for sparse tensor algebra (SpTA) in machine learning and big data has driven the development of various sparse tensor accelerators. However, most existing manually designed accelerators are limited to specific scenarios,…

Machine Learning · Computer Science 2025-08-19 Boran Zhao , Haiming Zhai , Zihang Yuan , Hetian Liu , Tian Xia , Wenzhe Zhao , Pengju Ren

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

Numerical Analysis · Mathematics 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

Sparse matrix-matrix multiplication (SpGEMM) is a computational primitive that is widely used in areas ranging from traditional numerical applications to recent big data analysis and machine learning. Although many SpGEMM algorithms have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-27 Yusuke Nagasaka , Satoshi Matsuoka , Ariful Azad , Aydın Buluç

K-means is a popular clustering algorithm with significant applications in numerous scientific and engineering areas. One drawback of K-means is its inability to identify non-linearly separable clusters, which may lead to inaccurate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-13 Julian Bellavita , Thomas Pasquali , Laura Del Rio Martin , Flavio Vella , Giulia Guidi

Sparsity is an intrinsic property of convolutional neural network(CNN) and worth exploiting for CNN accelerators, but extra processing comes with hardware overhead, causing many architectures suffering from only minor profit. Meanwhile,…

Hardware Architecture · Computer Science 2022-09-26 Wenhao Sun , Deng Liu , Zhiwei Zou , Wendi Sun , Yi Kang , Song Chen

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

Machine Learning · Computer Science 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

Sparse matrix-vector multiplication (SpMV) is a fundamental operation in machine learning, scientific computing, and graph algorithms. In this paper, we investigate the space, time, and energy efficiency of SpMV using various compressed…

Data Structures and Algorithms · Computer Science 2024-09-30 Francesco Tosoni , Philip Bille , Valerio Brunacci , Alessio De Angelis , Paolo Ferragina , Giovanni Manzini

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

Tensor Cores have been an important unit to accelerate Fused Matrix Multiplication Accumulation (MMA) in all NVIDIA GPUs since Volta Architecture. To program Tensor Cores, users have to use either legacy wmma APIs or current mma APIs.…

Hardware Architecture · Computer Science 2022-11-29 Wei Sun , Ang Li , Tong Geng , Sander Stuijk , Henk Corporaal
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