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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

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

Hardware Architecture · Computer Science 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

This article presents a sparse, low-memory footprint optimization algorithm for the implementation of the model predictive control (MPC) for tracking formulation in embedded systems. This MPC formulation has several advantages over standard…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Pablo Krupa , Ignacio Alvarado , Daniel Limon , Teodoro Alamo

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

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

Machine Learning · Computer Science 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

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…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

Compared to the first generation of deep neural networks, dominated by regular, compute-intensive kernels such as matrix multiplications (MatMuls) and convolutions, modern decoder-based transformers interleave attention, normalization, and…

Hardware Architecture · Computer Science 2026-03-06 Max Wipfli , Gamze İslamoğlu , Navaneeth Kunhi Purayil , Angelo Garofalo , Luca Benini

The Variable Block Row (VBR) format is an influential blocked sparse matrix format designed for matrices with shared sparsity structure between adjacent rows and columns. VBR groups adjacent rows and columns, storing the resulting blocks…

Data Structures and Algorithms · Computer Science 2023-10-13 Willow Ahrens , Erik G. Boman

The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

Machine Learning · Statistics 2025-04-07 Jinhang Chai , Jianqing Fan

We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be approximated by a rank-deficient matrix with low numerical rank. Here, we use…

Mathematical Software · Computer Science 2015-06-29 François-Henry Rouet , Xiaoye S. Li , Pieter Ghysels , Artem Napov

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…

Hardware Architecture · Computer Science 2024-01-17 Christodoulos Peltekis , Vasileios Titopoulos , Chrysostomos Nicopoulos , Giorgos Dimitrakopoulos

One of the biggest concerns in IoT is privacy and security. Encryption and authentication need big power budgets, which battery-operated IoT end-nodes do not have. Hardware accelerators designed for specific cryptographic operations provide…

Hardware Architecture · Computer Science 2020-10-01 Ömer Faruk Irmak , Arda Yurdakul

Sparse Matrix Vector multiplication (SpMV) is one of basic building blocks in scientific computing, and acceleration of SpMV has been continuously required. In this research, we aim for accelerating SpMV on recent CPUs for sparse matrices…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-12 Takeshi Fukaya , Koki Ishida , Akie Miura , Takeshi Iwashita , Hiroshi Nakashima

How can we compute the pseudoinverse of a sparse feature matrix efficiently and accurately for solving optimization problems? A pseudoinverse is a generalization of a matrix inverse, which has been extensively utilized as a fundamental…

Machine Learning · Computer Science 2020-11-10 Jinhong Jung , Lee Sael

Current architectures are now equipped with matrix computation units designed to enhance AI and high-performance computing applications. Within these architectures, two fundamental instruction types are matrix multiplication and vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-04 Wenxuan Zhao , Liang Yuan , Baicheng Yan , Penghao Ma , Yunquan Zhang , Long Wang , Zhe Wang

Modern microprocessors are equipped with Single Instruction Multiple Data (SIMD) or vector instructions which expose data level parallelism at a fine granularity. Programmers exploit this parallelism by using low-level vector intrinsics in…

Programming Languages · Computer Science 2019-02-11 Charith Mendis , Ajay Jain , Paras Jain , Saman Amarasinghe

We consider the problem of designing a coding scheme that allows both sparsity and privacy for distributed matrix-vector multiplication. Perfect information-theoretic privacy requires encoding the input sparse matrices into matrices…

Information Theory · Computer Science 2022-03-04 Marvin Xhemrishi , Rawad Bitar , Antonia Wachter-Zeh

Sparse matrix-vector multiplication (SpMxV) is a kernel operation widely used in iterative linear solvers. The same sparse matrix is multiplied by a dense vector repeatedly in these solvers. Matrices with irregular sparsity patterns make it…

Numerical Analysis · Computer Science 2013-10-10 Kadir Akbudak , Enver Kayaaslan , Cevdet Aykanat

Convolutional neural network (CNN) inference on mobile devices demands efficient hardware acceleration of low-precision (INT8) general matrix multiplication (GEMM). Exploiting data sparsity is a common approach to further accelerate GEMM…

Hardware Architecture · Computer Science 2020-10-14 Zhi-Gang Liu , Paul N. Whatmough , Matthew Mattina
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