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Recently, tensor algebra have witnessed significant applications across various domains. Each operator in tensor algebra features different computational workload and precision. However, current general accelerators, such as VPU, GPGPU, and…

Hardware Architecture · Computer Science 2024-05-06 Chenyang Ai , Lechuan Zhao , Zhijie Huang , Cangyuan Li , Xinan Wang , Ying Wang

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

Sparse matrix vector multiplication (SpMV) is a fundamental kernel in scientific codes that rely on iterative solvers. In this first part of our work, we present both a sequential and a basic MPI parallel implementations of SpMV, aiming to…

Logic in Computer Science · Computer Science 2025-10-16 Junchao Zhang

Recently, graphics processors (GPUs) have been increasingly leveraged in a variety of scientific computing applications. However, architectural differences between CPUs and GPUs necessitate the development of algorithms that take advantage…

Mathematical Software · Computer Science 2015-01-05 Jonathan Wong , Ellen Kuhl , Eric Darve

Large matrix multiplication is a cornerstone of modern machine learning workloads, yet traditional approaches suffer from cubic computational complexity (e.g., $\mathcal{O}(n^3)$ for a matrix of size $n\times n$). We present Low-Rank GEMM,…

Performance · Computer Science 2025-11-25 Alfredo Metere

Mass spectrometry (MS) is essential for proteomics and metabolomics but faces impending challenges in efficiently processing the vast volumes of data. This paper introduces SpecPCM, an in-memory computing (IMC) accelerator designed to…

Hardware Architecture · Computer Science 2024-11-18 Keming Fan , Ashkan Moradifirouzabadi , Xiangjin Wu , Zheyu Li , Flavio Ponzina , Anton Persson , Eric Pop , Tajana Rosing , Mingu Kang

Sparse general matrix-matrix multiplication (SpGEMM) is a critical operation in many applications. Current multithreaded implementations are based on Gustavson's algorithm and often perform poorly on large matrices due to limited cache…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-11 Jordi Wolfson-Pou , Jan Laukemann , Fabrizio Petrini

Sparse tensors appear in many large-scale applications with multidimensional and sparse data. While multidimensional sparse data often need to be processed on manycore processors, attempts to develop highly-optimized GPU-based…

Mathematical Software · Computer Science 2017-12-18 Bangtian Liu , Chengyao Wen , Anand D. Sarwate , Maryam Mehri Dehnavi

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…

Performance · Computer Science 2019-12-11 Douglas Aberdeen , Jonathan Baxter

A finite-difference Micromagnetic solver is presented utilizing the C++ Accelerated Massive Parallelism (C++ AMP). The high speed performance of a single Graphics Processing Unit (GPU) is demonstrated compared to a typical CPU-based solver.…

Computational Engineering, Finance, and Science · Computer Science 2014-07-07 Ru Zhu

Linear algebra operations have been widely used in big data analytics and scientific computations. Many works have been done on optimizing linear algebra operations on GPUs with regular-shaped input. However, few works focus on fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Cody Rivera , Jieyang Chen , Nan Xiong , Shuaiwen Leon Song , Dingwen Tao

Tensor processing is the cornerstone of modern technological advancements, powering critical applications in data analytics and artificial intelligence. While optical computing offers exceptional advantages in bandwidth, parallelism, and…

The peak performance of any SpMV depends primarily on the available memory bandwidth and its effective use. GPUs, ASICs, and new FPGAs have higher and higher bandwidth; however, for large scale and highly sparse matrices, SpMV is still a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Paolo D'Alberto , Abhishek Jain , Ismail Bustany , Henri Fraisse , Mansimran Benipal

The research interest in specialized hardware accelerators for deep neural networks (DNN) spikes recently owing to their superior performance and efficiency. However, today's DNN accelerators primarily focus on accelerating specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Cong Guo , Yangjie Zhou , Jingwen Leng , Yuhao Zhu , Zidong Du , Quan Chen , Chao Li , Bin Yao , Minyi Guo

Arbitrary-precision integer multiplication is the core kernel of many applications in simulation, cryptography, etc. Existing acceleration of arbitrary-precision integer multiplication includes CPUs, GPUs, FPGAs, and ASICs. Among these…

Hardware Architecture · Computer Science 2023-09-22 Zhuoping Yang , Jinming Zhuang , Jiaqi Yin , Cunxi Yu , Alex K. Jones , Peipei Zhou

We propose a fine-grained hypergraph model for sparse matrix-matrix multiplication (SpGEMM), a key computational kernel in scientific computing and data analysis whose performance is often communication bound. This model correctly describes…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-18 Grey Ballard , Alex Druinsky , Nicholas Knight , Oded Schwartz

Sparse matrix-vector multiplication (SpMV) is a fundamental operation with a wide range of applications in scientific computing and artificial intelligence. However, the large scale and sparsity of sparse matrix often make it a performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Chen Yan , Boyu Diao , Hangda Liu , Zhulin An , Yongjun Xu

General-purpose processor vendors have integrated customized accelerator in their products due to the widespread use of General Matrix-Matrix Multiplication (GEMM) kernels. However, it remains a challenge to further improve the…

Hardware Architecture · Computer Science 2024-05-01 Bingcai Sui , Junzhong Shen , Caixia Sun , Junhui Wang , Zhong Zheng , Wei Guo

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

Sparse matrix-vector products (SpMVs) are a bottleneck in many scientific codes. Due to the heavy strain on the main memory interface from loading the sparse matrix and the possibly irregular memory access pattern, SpMV typically exhibits…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Dane C. Lacey , Christie L. Alappat , Florian Lange , Georg Hager , Holger Fehske , Gerhard Wellein