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Generalised matrix-matrix multiplication forms the kernel of many mathematical algorithms. A faster matrix-matrix multiply immediately benefits these algorithms. In this paper we implement efficient matrix multiplication for large matrices…

性能 · 计算机科学 2019-12-11 Douglas Aberdeen , Jonathan Baxter

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

分布式、并行与集群计算 · 计算机科学 2016-10-26 Ariful Azad , Aydin Buluc

Sparse matrix-vector multiplication (spMVM) is the most time-consuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data…

数学软件 · 计算机科学 2014-10-21 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Alan R. Bishop

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. In this paper, we consider SpGEMMs performed on hundreds of thousands of processors generating…

分布式、并行与集群计算 · 计算机科学 2020-10-19 Md Taufique Hussain , Oguz Selvitopi , Aydin Buluç , Ariful Azad

Sparse Matrix-Vector Multiplication (SpMV) is a critical operation for the iterative solver of Finite Element Methods on computer simulation. Since the SpMV operation is a memory-bound algorithm, the efficiency of data movements heavily…

分布式、并行与集群计算 · 计算机科学 2022-04-15 Chong Chen

Several manufacturers have already started to commercialize near-bank Processing-In-Memory (PIM) architectures. Near-bank PIM architectures place simple cores close to DRAM banks and can yield significant performance and energy improvements…

硬件体系结构 · 计算机科学 2022-05-24 Christina Giannoula , Ivan Fernandez , Juan Gómez-Luna , Nectarios Koziris , Georgios Goumas , Onur Mutlu

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. The scaling of existing parallel implementations of SpGEMM is…

分布式、并行与集群计算 · 计算机科学 2016-11-18 Ariful Azad , Grey Ballard , Aydin Buluc , James Demmel , Laura Grigori , Oded Schwartz , Sivan Toledo , Samuel Williams

Structured sparsity has been proposed as an efficient way to prune the complexity of modern Machine Learning (ML) applications and to simplify the handling of sparse data in hardware. The acceleration of ML models - for both training and…

硬件体系结构 · 计算机科学 2023-11-14 V. Titopoulos , K. Alexandridis , C. Peltekis , C. Nicopoulos , G. Dimitrakopoulos

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

密码学与安全 · 计算机科学 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

Gaussian processes (GPs) stand as crucial tools in machine learning and signal processing, with their effectiveness hinging on kernel design and hyper-parameter optimization. This paper presents a novel GP linear multiple kernel (LMK) and a…

机器学习 · 计算机科学 2025-01-17 Richard Cornelius Suwandi , Zhidi Lin , Feng Yin , Zhiguo Wang , Sergios Theodoridis

Sparse General Matrix-Matrix Multiplication (SpGEMM) is a fundamental operation in numerous scientific computing and data analytics applications, often bottlenecked by irregular memory access patterns. This paper presents Hash based…

分布式、并行与集群计算 · 计算机科学 2025-12-16 Shiju Li , Younghoon Min , Hane Yie , Hoshik Kim , Soohong Ahn , Joonseop Sim , Chul-Ho Lee , Jongryool Kim

In the context of cryptanalysis, computing discrete logarithms in large cyclic groups using index-calculus-based methods, such as the number field sieve or the function field sieve, requires solving large sparse systems of linear equations…

密码学与安全 · 计算机科学 2014-12-05 Hamza Jeljeli

Deep Learning (DL) has achieved unprecedented success in various application domains. Meanwhile, model pruning has emerged as a viable solution to reduce the footprint of DL models in mobile applications, without compromising their…

硬件体系结构 · 计算机科学 2024-01-17 Christodoulos Peltekis , Vasileios Titopoulos , Chrysostomos Nicopoulos , Giorgos Dimitrakopoulos

In recent decades, High Performance Computing (HPC) has undergone significant enhancements, particularly in the realm of hardware platforms, aimed at delivering increased processing power while keeping power consumption within reasonable…

分布式、并行与集群计算 · 计算机科学 2023-10-03 S. -Kazem Shekofteh , Christian Alles , Nils Kochendörfer , Holger Fröning

Matrix-matrix multiplication is a basic operation in linear algebra and an essential building block for a wide range of algorithms in various scientific fields. Theory and implementation for the dense, square matrix case are well-developed.…

分布式、并行与集群计算 · 计算机科学 2017-06-01 Alfio Lazzaro , Joost VandeVondele , Juerg Hutter , Ole Schuett

Programming high-performance sparse GPU kernels is notoriously difficult, requiring both substantial effort and deep expertise. Sparse compilers aim to simplify this process, but existing systems fall short in two key ways. First, they are…

编程语言 · 计算机科学 2025-10-21 Jaeyeon Won , Willow Ahrens , Joel S. Emer , Saman Amarasinghe

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

数据结构与算法 · 计算机科学 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

Despite numerous efforts for optimizing the performance of Sparse Matrix and Vector Multiplication (SpMV) on modern hardware architectures, few works are done to its sparse counterpart, Sparse Matrix and Sparse Vector Multiplication…

分布式、并行与集群计算 · 计算机科学 2020-12-18 Min Li , Yulong Ao , Chao Yang

In recent years, general matrix-matrix multiplication with non-regular-shaped input matrices has been widely used in many applications like deep learning and has drawn more and more attention. However, conventional implementations are not…

分布式、并行与集群计算 · 计算机科学 2025-01-24 Chendi Li , Haipeng Jia , Hang Cao , Jianyu Yao , Boqian Shi , Chunyang Xiang , Jinbo Sun , Pengqi Lu , Yunquan Zhang

Architectures with multiple classes of memory media are becoming a common part of mainstream supercomputer deployments. So called multi-level memories offer differing characteristics for each memory component including variation in…

分布式、并行与集群计算 · 计算机科学 2018-04-04 Mehmet Deveci , Simon D. Hammond , Michael M. Wolf , Sivasankaran Rajamanickam