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In the era of big data, effectively compressing large datasets while performing complex mathematical operations is crucial. Tensor-based decomposition methods have shown superior compression capabilities with minimal loss of accuracy…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Md Taufique Hussain , Grey Ballard , Aditya Devarakonda , Srinivas Eswar , Naman Pesricha , Vishwas Rao

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

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…

Machine Learning · Computer Science 2025-01-17 Richard Cornelius Suwandi , Zhidi Lin , Feng Yin , Zhiguo Wang , Sergios Theodoridis

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

We present new adaptive format for storing sparse matrices on GPU. We compare it with several other formats including CUSPARSE which is today probably the best choice for processing of sparse matrices on GPU in CUDA. Contrary to CUSPARSE…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-27 Martin Heller , Tomáš Oberhuber

Sparse matrix-sparse matrix multiplication (SpGEMM) is a key kernel in many scientific applications and graph workloads. Unfortunately, SpGEMM is bottlenecked by data movement due to its irregular memory access patterns. Significant work…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Abdullah Al Raqibul Islam , Helen Xu , Dong Dai , Aydın Buluç

Compressed Sparse Column (CSC) and Coordinate (COO) are popular compression formats for sparse matrices. However, both CSC and COO are general purpose and cannot take advantage of any of the properties of the data other than sparsity, such…

Data Structures and Algorithms · Computer Science 2025-07-01 Skyler Ruiter , Seth Wolfgang , Marc Tunnell , Timothy Triche , Erin Carrier , Zachary DeBruine

Support vector machine (SVM), is a popular kernel method for data classification that demonstrated its efficiency for a large range of practical applications. The method suffers, however, from some weaknesses including; time processing,…

Machine Learning · Computer Science 2023-08-23 Lakhdar Remaki

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

Hardware Architecture · Computer Science 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

General Matrix Multiplication (GEMM) is the cornerstone of HPC workloads and Deep Learning. State-of-the-art vendor libraries tune tensor layouts, parallelization schemes, and cache blocking to minimize data movement across the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Evangelos Georganas , Alexander Heinecke , Pradeep Dubey

Sparse Convolution (SC) is widely used for processing 3D point clouds that are inherently sparse. Different from dense convolution, SC preserves the sparsity of the input point cloud by only allowing outputs to specific locations. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-15 Jiacheng Yang , Christina Giannoula , Jun Wu , Mostafa Elhoushi , James Gleeson , Gennady Pekhimenko

Despite the success of deep neural networks in vision, medical diagnosis, and IoT scenarios, their deployment on resource-limited platforms poses serious challenges due to their high storage requirements, computational complexity, and large…

Machine Learning · Computer Science 2026-05-19 Jayakrishna Amathi , Venkata Prasanth Yanambaka , Saraju P. Mohanty , Elias Kougianos

Despite the importance of sparse matrices in numerous fields of science, software implementations remain difficult to use for non-expert users, generally requiring the understanding of underlying details of the chosen sparse matrix storage…

Mathematical Software · Computer Science 2019-07-23 Conrad Sanderson , Ryan Curtin

Vectorization and GPUs will profoundly change graph processing. Traditional graph algorithms tuned for 32- or 64-bit based memory accesses will be inefficient on architectures with 512-bit wide (or larger) instruction units that are already…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-23 Maciej Besta , Florian Marending , Edgar Solomonik , Torsten Hoefler

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…

Mathematical Software · Computer Science 2015-11-19 Anton Lokhmotov

Sparse matrix-vector multiplication (SpMV) plays a vital role in various scientific and engineering fields, from scientific computing to machine learning. Traditional general-purpose processors often fall short of their peak performance…

Hardware Architecture · Computer Science 2024-10-15 Armin Gerami , Bahar Asgari

SSE (streaming SIMD extensions) and AVX (advanced vector extensions) are SIMD (single instruction multiple data streams) instruction sets supported by recent CPUs manufactured in Intel and AMD. This SIMD programming allows parallel…

High Energy Physics - Lattice · Physics 2013-11-05 Hwancheol Jeong , Sunghoon Kim , Weonjong Lee , Seok-Ho Myung

Sparse matrix multiplication is an important component of linear algebra computations. In this paper, an architecture based on Content Addressable Memory (CAM) and Resistive Content Addressable Memory (ReCAM) is proposed for accelerating…

Hardware Architecture · Computer Science 2017-05-30 Leonid Yavits , Ran Ginosar

The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Data Structures and Algorithms · Computer Science 2024-09-05 João N. F. Alves , Samir Moustafa , Siegfried Benkner , Alexandre P. Francisco , Wilfried N. Gansterer , Luís M. S. Russo

To index the increasing volume of data, modern data indexes are typically stored on SSDs and cached in DRAM. However, searching such an index has resulted in significant I/O traffic due to limited access locality and inefficient cache…

Hardware Architecture · Computer Science 2024-08-05 Yun-Chih Chen , Yuan-Hao Chang , Tei-Wei Kuo