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Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

Sparse Matrix-Matrix Multiplication (SpMM) has served as fundamental components in various domains. Many previous studies exploit GPUs for SpMM acceleration because GPUs provide high bandwidth and parallelism. We point out that a static…

Hardware Architecture · Computer Science 2022-02-18 Guohao Dai , Guyue Huang , Shang Yang , Zhongming Yu , Hengrui Zhang , Yufei Ding , Yuan Xie , Huazhong Yang , Yu Wang

Spiking Neural Networks (SNNs) are widely deployed to solve complex pattern recognition, function approximation and image classification tasks. With the growing size and complexity of these networks, hardware implementation becomes…

Neurons and Cognition · Quantitative Biology 2019-08-22 Anup Das , Yuefeng Wu , Khanh Huynh , Francesco Dell'Anna , Francky Catthoor , Siebren Schaafsma

To operate effectively in the real world, agents should be able to act from high-dimensional raw sensory input such as images and achieve diverse goals across long time-horizons. Current deep reinforcement and imitation learning methods can…

Machine Learning · Computer Science 2020-11-16 Scott Emmons , Ajay Jain , Michael Laskin , Thanard Kurutach , Pieter Abbeel , Deepak Pathak

This paper presents a new fast, highly scalable distributed matrix multiplication algorithm on Apache Spark, called Stark, based on Strassen's matrix multiplication algorithm. Stark preserves Strassen's 7 multiplications scheme in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-26 Chandan Misra , Sourangshu Bhattacharya , Soumya K. Ghosh

Sparse matrix reordering can significantly reduce the fill-in during matrix factorization, thereby decreasing the computational and storage requirements in sparse matrix computations. Finding a minimal fill-in ordering is known to be an…

Machine Learning · Computer Science 2026-05-19 Ziwei Li , Tao Yuan , Shuzi Niu , Huiyuan Li

Montgomery modular multiplication is widely-used in public key cryptosystems (PKC) and affects the efficiency of upper systems directly. However, modulus is getting larger due to the increasing demand of security, which results in a heavy…

Cryptography and Security · Computer Science 2026-03-17 Yuxuan Zhang , Hua Guo , Chen Chen , Yewei Guan , Xiyong Zhang , Zhenyu Guan

Deep Neural Networks (DNNs) require highly efficient matrix multiplication engines for complex computations. This paper presents a systolic array architecture incorporating novel exact and approximate processing elements (PEs), designed…

Hardware Architecture · Computer Science 2026-03-24 Pragun Jaswal , L. Hemanth Krishna , B. Srinivasu

We present a novel, practical approach to speed up sparse matrix-vector multiplication (SpMVM) on GPUs. The novel key idea is to apply lossless entropy coding to further compress the sparse matrix when stored in one of the commonly…

Performance · Computer Science 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

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

Graph convolutional networks (GCNs) are fundamental in various scientific applications, ranging from biomedical protein-protein interactions (PPI) to large-scale recommendation systems. An essential component for modeling graph structures…

Machine Learning · Computer Science 2026-01-07 Shakya Jayakody , Youpeng Zhao , Jun Wang

Modern Neural Network (NN) architectures heavily rely on vast numbers of multiply-accumulate arithmetic operations, constituting the predominant computational cost. Therefore, this paper proposes a high-throughput, scalable and energy…

Hardware Architecture · Computer Science 2024-07-09 Xuqi Zhu , Huaizhi Zhang , JunKyu Lee , Jiacheng Zhu , Chandrajit Pal , Sangeet Saha , Klaus D. McDonald-Maier , Xiaojun Zhai

This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

Signal Processing · Electrical Eng. & Systems 2025-12-30 Sergey Salishev

This paper describes REAP, a software-hardware approach that enables high performance sparse linear algebra computations on a cooperative CPU-FPGA platform. REAP carefully separates the task of organizing the matrix elements from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-30 Mohammadreza Soltaniyeh , Richard P. Martin , Santosh Nagarakatte

Attention mechanisms and non-local mean operations in general are key ingredients in many state-of-the-art deep learning techniques. In particular, the Transformer model based on multi-head self-attention has recently achieved great success…

Machine Learning · Computer Science 2019-05-27 Dan A. Calian , Peter Roelants , Jacques Cali , Ben Carr , Krishna Dubba , John E. Reid , Dell Zhang

Deep neural networks often suffer from poor generalization due to complex and non-convex loss landscapes. Sharpness-Aware Minimization (SAM) is a popular solution that smooths the loss landscape by minimizing the maximized change of…

Artificial Intelligence · Computer Science 2023-07-03 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Tianshuo Xu , Xiaoshuai Sun , Tongliang Liu , Rongrong Ji , Dacheng Tao

Disparity by Block Matching stereo is usually used in applications with limited computational power in order to get depth estimates. However, the research on simple stereo methods has been lesser than the energy based counterparts which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Vinay Kaushik , Brejesh Lall

Computation of the large sparse matrix exponential has been an important topic in many fields, such as network and finite-element analysis. The existing scaling and squaring algorithm (SSA) is not suitable for the computation of the large…

Numerical Analysis · Mathematics 2021-10-12 Feng Wu , Kailing Zhang , Li Zhu , Jiayao Hu

We develop and analyze new scheduling algorithms for solving sparse triangular linear systems (SpTRSV) in parallel. Our approach produces highly efficient synchronous schedules for the forward- and backward-substitution algorithm. Compared…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Toni Böhnlein , Pál András Papp , Raphael S. Steiner , Christos K. Matzoros , A. N. Yzelman