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We present a recursive way to partition hypergraphs which creates and exploits hypergraph geometry and is suitable for many-core parallel architectures. Such partitionings are then used to bring sparse matrices in a recursive Bordered Block…

Data Structures and Algorithms · Computer Science 2011-05-24 B. O. Fagginger Auer , R. H. Bisseling

Runtime characteristics of sparse matrix computations and related processes may be often improved by reducing memory footprints of involved matrices. Such a reduction can be usually achieved when matrices are processed in a block-wise…

Numerical Analysis · Computer Science 2018-01-01 Daniel Langr

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Mehmet Deveci , Simon D. Hammond , Michael M. Wolf , Sivasankaran Rajamanickam

Iterative methods on irregular grids have been used widely in all areas of comptational science and engineering for solving partial differential equations with complex geometry. They provide the flexibility to express complex shapes with…

Mathematical Software · Computer Science 2016-12-05 Naoki Yoshifuji , Ryo Sakamoto , Keigo Nitadori , Jun Makino

The A64FX CPU powers the current number one supercomputer on the Top500 list. Although it is a traditional cache-based multicore processor, its peak performance and memory bandwidth rival accelerator devices. Generating efficient code for…

Performance · Computer Science 2021-08-05 Christie L. Alappat , Jan Laukemann , Thomas Gruber , Georg Hager , Gerhard Wellein , Nils Meyer , Tilo Wettig

Solving semidefinite programs (SDP) in a short time is the key to managing various mathematical optimization problems. The matrix-completion primal-dual interior-point method (MC-PDIPM) extracts a sparse structure of input SDP by…

Optimization and Control · Mathematics 2014-05-27 Makoto Yamashita , Kazuhide Nakata

Deep learning demonstrates effectiveness across a wide range of tasks. However, the dense and over-parameterized nature of these models results in significant resource consumption during deployment. In response to this issue, weight…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-05 Cong Ma , Du Wu , Zhelang Deng , Jiang Chen , Xiaowen Huang , Jintao Meng , Wenxi Zhu , Bingqiang Wang , Amelie Chi Zhou , Peng Chen , Minwen Deng , Yanjie Wei , Shengzhong Feng , Yi Pan

Ultra-reliable and low-latency communications (URLLC) partakes a major role in 5G networks for mission-critical applications. Sparse vector coding (SVC) appears as a strong candidate for future URLLC networks by enabling superior…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Emre Arslan , Ali Tugberk Dogukan , Ertugrul Basar

We evaluate optimized parallel sparse matrix-vector operations for two representative application areas on widespread multicore-based cluster configurations. First the single-socket baseline performance is analyzed and modeled with respect…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske , Gerhard Wellein

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Shiju Li , Younghoon Min , Hane Yie , Hoshik Kim , Soohong Ahn , Joonseop Sim , Chul-Ho Lee , Jongryool Kim

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.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-01 Alfio Lazzaro , Joost VandeVondele , Juerg Hutter , Ole Schuett

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

Sparse matrix vector multiplication (SpMV) is one of the most common operations in scientific and high-performance applications, and is often responsible for the application performance bottleneck. While the sparse matrix representation has…

Mathematical Software · Computer Science 2018-05-31 Shizhao Chen , Jianbin Fang , Donglin Chen , Chuanfu Xu , Zheng Wang

Sparse matrix-matrix multiplication (SpGEMM) is a critical kernel widely employed in machine learning and graph algorithms. However, real-world matrices' high sparsity makes SpGEMM memory-intensive. In-situ computing offers the potential to…

Hardware Architecture · Computer Science 2023-11-08 Huize Li , Tulika Mitra

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated functions on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space component and a…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-31 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

Sparse matrix multiplication operators (i.e., SpMM and SDDMM) are widely used in deep learning and scientific computing. Modern accelerators are commonly equipped with Tensor Core Units (TCUs) and CUDA cores to accelerate sparse operators.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Jinliang Shi , Shigang Li , Youxuan Xu , Xueying Wang , Rongtian Fu , Zhi Ma , Tong Wu

The parallel algorithm for loading large sparse matrices from files into distributed memories of high performance computing (HPC) systems is presented. This algorithm was designed specially for matrices stored in files in the space-effcient…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Daniel Langr , Ivan Šimeček , Pavel Tvrdík

Transformer-based models are the foundation of modern machine learning, but their execution, particularly during autoregressive decoding in large language models (LLMs), places significant pressure on memory systems due to frequent memory…

Computation and Language · Computer Science 2026-05-13 Zehao Fan , Garrett Gagnon , Zhenyu Liu , Liu Liu

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