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As users and developers, we are witnessing the opening of a new computing scenario: the introduction of hybrid processors into a single die, such as an accelerated processing unit (APU) processor, and the plug-and-play of additional…

Mathematical Software · Computer Science 2012-05-15 Paolo D'Alberto

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Single-Program-Multiple-Data (SPMD) parallelism has recently been adopted to train large deep neural networks (DNNs). Few studies have explored its applicability on heterogeneous clusters, to fully exploit available resources for large…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shiwei Zhang , Lansong Diao , Chuan Wu , Zongyan Cao , Siyu Wang , Wei Lin

Many recent GPUs feature matrix multiplication engines (aka Tensor Core Units or TCUs) that perform small fixed-size matrix-matrix products at very high throughput. They have been used very effectively to speed up dense matrix-matrix…

Performance · Computer Science 2025-11-25 Lizhi Xiang , Omid Asudeh , Gerald Sabin , Aravind Sukumaran-Rajam , P. Sadayappan

This work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

Temporal Interaction Graphs (TIGs) are widely employed to model intricate real-world systems such as financial systems and social networks. To capture the dynamism and interdependencies of nodes, existing TIG embedding models need to…

Machine Learning · Computer Science 2023-09-12 Xi Chen , Yongxiang Liao , Yun Xiong , Yao Zhang , Siwei Zhang , Jiawei Zhang , Yiheng Sun

The advanced magnetic resonance (MR) image reconstructions such as the compressed sensing and subspace-based imaging are considered as large-scale, iterative, optimization problems. Given the large number of reconstructions required by the…

Computational Engineering, Finance, and Science · Computer Science 2020-06-26 Tianjian Lu , Thibault Marin , Yue Zhuo , Yi-Fan Chen , Chao Ma

We study exact sparse linear regression with an $\ell_0-\ell_2$ penalty and develop a branch-and-bound (BnB) algorithm explicitly designed for GPU execution. Starting from a perspective reformulation, we derive an interval relaxation that…

Optimization and Control · Mathematics 2026-02-05 Xiang Meng , Ryan Lucas , Rahul Mazumder

Large language models (LLMs) demand significant memory and computation resources. Wafer-scale chips (WSCs) provide high computation power and die-to-die (D2D) bandwidth but face a unique trade-off between on-chip memory and compute…

Hardware Architecture · Computer Science 2025-12-17 Huizheng Wang , Taiquan Wei , Zichuan Wang , Dingcheng Jiang , Qize Yang , Jiaxin Liu , Jingxiang Hou , Chao Li , Jinyi Deng , Yang Hu , Shouyi Yin

In recent years, the application of tensors has become more widespread in fields that involve data analytics and numerical computation. Due to the explosive growth of data, low-rank tensor decompositions have become a powerful tool to…

Numerical Analysis · Mathematics 2020-11-03 Lingjie Li , Wenjian Yu , Kim Batselier

In the evolving landscape of neural network models, one prominent challenge stand out: the significant memory overheads associated with training expansive models. Addressing this challenge, this study delves deep into the Rotated Tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-06 Cheng Luo , Tianle Zhong , Geoffrey Fox

Neural network (NN) accelerators have been integrated into a wide-spectrum of computer systems to accommodate the rapidly growing demands for artificial intelligence (AI) and machine learning (ML) applications. NN accelerators share the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-14 Kuan-Chieh Hsu , Hung-Wei Tseng

Exploiting sparsity in deep neural networks (DNNs) has been a promising area for meeting the growing computation requirements. To minimize the overhead of sparse acceleration, hardware designers have proposed structured sparsity support,…

Machine Learning · Computer Science 2025-05-27 Geonhwa Jeong , Po-An Tsai , Abhimanyu R. Bambhaniya , Stephen W. Keckler , Tushar Krishna

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

Multilevel/multigrid methods is one of the most popular approaches for solving a large sparse linear system of equations, typically, arising from the discretization of partial differential equations. One critical step in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Fande Kong

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

Numerical Analysis · Mathematics 2021-09-09 Ilya Kisil , Giuseppe G. Calvi , Kriton Konstantinidis , Yao Lei Xu , Danilo P. Mandic

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

CANDECOMP/PARAFAC (CP) decomposition has been widely used to deal with multi-way data. For real-time or large-scale tensors, based on the ideas of randomized-sampling CP decomposition algorithm and online CP decomposition algorithm, a novel…

Machine Learning · Computer Science 2020-07-22 Congbo Ma , Xiaowei Yang , Hu Wang

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

Mixture-of-Experts (MoE) models facilitate edge deployment by decoupling model capacity from active computation, yet their large memory footprint drives the need for GPU systems with near-data processing (NDP) capabilities that offload…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-08 Qi Wu , Chao Fang , Jiayuan Chen , Ye Lin , Yueqi Zhang , Yichuan Bai , Yuan Du , Li Du