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In Scientific Computing and modern Machine Learning (ML) workloads, sequences of dependent General Matrix Multiplications (GEMMs) often dominate execution time. While state-of-the-art BLAS libraries aggressively optimize individual GEMM…

分布式、并行与集群计算 · 计算机科学 2026-04-07 César Guedes Carneiro , Lucas Alvarenga , Guido Araujo , Sandro Rigo

The generic matrix-matrix multiplication (GEMM) is arguably the most popular computational kernel of the 20th century. Yet, surprisingly, no common methodology for evaluating GEMM performance has been established over the many decades of…

数学软件 · 计算机科学 2015-11-19 Anton Lokhmotov

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…

分布式、并行与集群计算 · 计算机科学 2026-04-22 Yifan Li , Giulia Guidi

GPUs are known to be power-hungry, and due to the boom in artificial intelligence, they are currently the major contributors to the high power demands of upcoming datacenters. Most GPU usage in these popular workloads consist of large…

人工智能 · 计算机科学 2024-09-30 Theo Gregersen , Pratyush Patel , Esha Choukse

We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

计算物理 · 物理学 2012-07-20 Martin Weigel , Taras Yavors'kii

Graph Neural Networks (GNNs) have achieved significant improvements in various domains. Sparse Matrix-Matrix multiplication (SpMM) is a fundamental operator in GNNs, which performs a multiplication between a sparse matrix and a dense…

分布式、并行与集群计算 · 计算机科学 2020-07-08 Guyue Huang , Guohao Dai , Yu Wang , Huazhong Yang

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

分布式、并行与集群计算 · 计算机科学 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

This paper addresses emulation algorithms for matrix multiplication. General Matrix-Matrix Multiplication (GEMM), a fundamental operation in the Basic Linear Algebra Subprograms (BLAS), is typically optimized for specific hardware…

数学软件 · 计算机科学 2025-04-29 Katsuhisa Ozaki , Yuki Uchino , Toshiyuki Imamura

Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

分布式、并行与集群计算 · 计算机科学 2015-03-19 Aydin Buluc , John Gilbert

Graphics processing units (GPUs) are recently being used to an increasing degree for general computational purposes. This development is motivated by their theoretical peak performance, which significantly exceeds that of broadly available…

计算物理 · 物理学 2015-03-17 Martin Weigel

The Kernel Polynomial Method (KPM) is one of the fast diagonalization methods used for simulations of quantum systems in research fields of condensed matter physics and chemistry. The algorithm has a difficulty to be parallelized on a…

计算物理 · 物理学 2011-05-30 Shixun Zhang , Shinichi Yamagiwa , Masahiko Okumura , Seiji Yunoki

Atomistic spin dynamics simulations provide valuable information about the energy spectrum of magnetic materials in different phases, allowing one to identify instabilities and the nature of their excitations. However, the time cost of…

计算物理 · 物理学 2023-08-09 Hongwei Chen , Yujia Zhai , Joshua J. Turner , Adrian Feiguin

Many scientific computing problems can be reduced to Matrix-Matrix Multiplications (MMM), making the General Matrix Multiply (GEMM) kernels in the Basic Linear Algebra Subroutine (BLAS) of interest to the high-performance computing…

硬件体系结构 · 计算机科学 2023-05-31 Louis Ledoux , Marc Casas

General Matrix Multiplication (GEMM) is a fundamental operation in many scientific workloads, signal processing, and particularly deep learning. It is often a bottleneck for performance and energy efficiency, especially in edge environments…

硬件体系结构 · 计算机科学 2025-11-11 Ilias Papalamprou , Dimosthenis Masouros , Ioannis Loudaros , Francky Catthoor , Dimitrios Soudris

In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matrices (H-Matrices) with ACA (Adaptive Cross Approximation).…

分布式、并行与集群计算 · 计算机科学 2017-11-07 Kerstin Vater , Timo Betcke , Boris Dilba

Massive multi-threading in GPU imposes tremendous pressure on memory subsystems. Due to rapid growth in thread-level parallelism of GPU and slowly improved peak memory bandwidth, the memory becomes a bottleneck of GPU's performance and…

硬件体系结构 · 计算机科学 2019-06-17 Bing Li , Mengjie Mao , Xiaoxiao Liu , Tao Liu , Zihao Liu , Wujie Wen , Yiran Chen , Hai , Li

Specialized computational units that perform small matrix multiplications as primitive operations are typically present in modern AI accelerators. However, these Matrix Multiplication Units (MMUs) are often underutilized for many…

数据结构与算法 · 计算机科学 2025-09-25 Aleksandros Sobczyk , Giuseppe Sorrentino , Anastasios Zouzias

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

分布式、并行与集群计算 · 计算机科学 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

There is a growing interest in custom spatial accelerators for machine learning applications. These accelerators employ a spatial array of processing elements (PEs) interacting via custom buffer hierarchies and networks-on-chip. The…

分布式、并行与集群计算 · 计算机科学 2021-06-22 Gordon E. Moon , Hyoukjun Kwon , Geonhwa Jeong , Prasanth Chatarasi , Sivasankaran Rajamanickam , Tushar Krishna

Processing large-scale graph datasets is computationally intensive and time-consuming. Processor-centric CPU and GPU architectures, commonly used for graph applications, often face bottlenecks caused by extensive data movement between the…