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Matrix factorization (MF) discovers latent features from observations, which has shown great promises in the fields of collaborative filtering, data compression, feature extraction, word embedding, etc. While many problem-specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Wei Tan , Shiyu Chang , Liana Fong , Cheng Li , Zijun Wang , Liangliang Cao

We present a GPU-accelerated proximal message passing algorithm for large-scale network utility maximization (NUM). NUM is a fundamental problem in resource allocation, where resources are allocated across various streams in a network to…

Optimization and Control · Mathematics 2025-09-16 Akshay Sreekumar , Anthony Degleris , Ram Rajagopal

The Metropolis-Hastings (MH) algorithm is one of the most widely used Markov Chain Monte Carlo schemes for generating samples from Bayesian posterior distributions. The algorithm is asymptotically exact, flexible and easy to implement.…

Methodology · Statistics 2026-03-10 Estevão Prado , Christopher Nemeth , Chris Sherlock

In the context of object detection, sliding-window classifiers and single-shot Convolutional Neural Network (CNN) meta-architectures typically yield multiple overlapping candidate windows with similar high scores around the true location of…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 David Oro , Carles Fernández , Xavier Martorell , Javier Hernando

Factorization and multiplication of dense matrices and tensors are critical, yet extremely expensive pieces of the scientific toolbox. Careful use of low rank approximation can drastically reduce the computation and memory requirements of…

Performance · Computer Science 2023-11-15 Sameer Deshmukh , Rio Yokota , George Bosilca

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

General matrix-matrix multiplications with double-precision real and complex entries (DGEMM and ZGEMM) in vendor-supplied BLAS libraries are best optimized for square matrices but often show bad performance for tall & skinny matrices, which…

Mathematical Software · Computer Science 2020-06-25 Dominik Ernst , Georg Hager , Jonas Thies , Gerhard Wellein

Deep neural networks (DNNs) have been widely applied in our society, yet reducing power consumption due to large-scale matrix computations remains a critical challenge. MADDNESS is a known approach to improving energy efficiency by…

Hardware Architecture · Computer Science 2025-06-23 Hiroto Tagata , Takashi Sato , Hiromitsu Awano

Sparse matrix vector multiplication (SpMV) is an important kernel in scientific and engineering applications. The previous optimizations are sparse matrix format specific and expose the choice of the best format to application programmers.…

Mathematical Software · Computer Science 2012-10-10 Jiajia Li , Xiuxia Zhang , Guangming Tan , Mingyu Chen

Despite the enormous success of Hamiltonian Monte Carlo and related Markov Chain Monte Carlo (MCMC) methods, sampling often still represents the computational bottleneck in scientific applications. Availability of parallel resources can…

Computation · Statistics 2026-01-26 Jakob Robnik , Uroš Seljak

Sparse Matrix-Vector Multiplication (SpMV) is the cornerstone in many iterative workloads, including large-scale graph analytics and sparse iterative solvers. Accelerating SpMV on real-world graphs remains challenging due to highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Qi Zhang , Zhengan Yao , Zhenglu Jiang , Zan-Bo Zhang

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

This paper presents GPU performance optimization and scaling results for inference models of the Sparse Deep Neural Network Challenge 2020. Demands for network quality have increased rapidly, pushing the size and thus the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Mert Hidayetoglu , Carl Pearson , Vikram Sharma Mailthody , Eiman Ebrahimi , Jinjun Xiong , Rakesh Nagi , Wen-Mei Hwu

We present an interface and an implementation of the General Matrix Multiply (GEMM) routine for multiple small matrices processed simultaneously on NVIDIA graphics processing units (GPUs). We focus on matrix sizes under 16. The…

Mathematical Software · Computer Science 2013-04-29 Chetan Jhurani , Paul Mullowney

Hierarchical matrix approximations have gained significant traction in the machine learning and scientific community as they exploit available low-rank structures in kernel methods to compress the kernel matrix. The resulting compressed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Bangtian Liu , Kazem Cheshmi , Saeed Soori , Michelle Mills Strout , Maryam Mehri Dehnavi

General matrix-matrix multiplication (GEMM) is a cornerstone of AI computations, making tensor processing engines (TPEs) increasingly critical in GPUs and domain-specific architectures. Existing architectures primarily optimize dataflow or…

Hardware Architecture · Computer Science 2025-03-11 Qizhe Wu , Huawen Liang , Yuchen Gui , Zhichen Zeng , Zerong He , Linfeng Tao , Xiaotian Wang , Letian Zhao , Zhaoxi Zeng , Wei Yuan , Wei Wu , Xi Jin

Coordinating the design of sampling and sparse-dense matrix multiplication (SpMM) is crucial for accelerating graph neural networks (GNNs). However, due to irrational sampling strategies, existing methods face a trade-off between accuracy…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Yingchen Song , Yaobin Wang , Yi Luo , Huan Wu , Pingping Tang

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

This paper studies a classic maximum entropy sampling problem (MESP), which aims to select the most informative principal submatrix of a prespecified size from a covariance matrix. MESP has been widely applied to many areas, including…

Machine Learning · Statistics 2023-05-02 Yongchun Li , Weijun Xie

Achieving high performance for sparse applications is challenging due to irregular access patterns and weak locality. These properties preclude many static optimizations and degrade cache performance on traditional systems. To address these…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-17 Thomas B. Rolinger , Christopher D. Krieger
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