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The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral methods, the computation of boundary integrals in KFBI is…

Numerical Analysis · Mathematics 2024-04-24 Liwei Tan , Minsheng Huang , Wenjun Ying

We present a fast sparse matrix permutation algorithm tailored to linear systems arising from triangle meshes. Our approach produces nested-dissection-style permutations while significantly reducing permutation runtime overhead. Rather than…

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

Performance · Computer Science 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

General Matrix Multiplication (GEMM) is a fundamental operation widely used in scientific computations. Its performance and accuracy significantly impact the performance and accuracy of applications that depend on it. One such application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Fumiya Kono , Naohito Nakasato , Maho Nakata

Structured kernel interpolation (SKI) accelerates Gaussian process (GP) inference by interpolating the kernel covariance function using a dense grid of inducing points, whose corresponding kernel matrix is highly structured and thus…

Machine Learning · Computer Science 2023-05-26 Mohit Yadav , Daniel Sheldon , Cameron Musco

This paper is focused on the improvement the efficiency of the sparse convolutional neural networks (CNNs) layers on graphic processing units (GPU). The Nvidia deep neural network (cuDnn) library provides the most effective implementation…

Machine Learning · Computer Science 2022-01-03 Marcin Pietroń , Dominik Żurek

Minimizing a sum of simple submodular functions of limited support is a special case of general submodular function minimization that has seen numerous applications in machine learning. We develop fast techniques for instances where…

Machine Learning · Computer Science 2021-10-29 Nate Veldt , Austin R. Benson , Jon Kleinberg

The performance of image based stereo estimation suffers from lighting variations, repetitive patterns and homogeneous appearance. Moreover, to achieve good performance, stereo supervision requires sufficient densely-labeled data, which are…

Computer Vision and Pattern Recognition · Computer Science 2020-05-06 Yu-Kai Huang , Yueh-Cheng Liu , Tsung-Han Wu , Hung-Ting Su , Winston H. Hsu

Sparse attention is a core building block in many leading neural network models, from graph-structured learning to sparse sequence modeling. It can be decomposed into a sequence of three sparse matrix operations (3S): sampled dense-dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-14 Zitong Li , Aparna Chandramowlishwaran

Field-Programmable Gate Arrays (FPGAs) are widely used in the central signal processing design of the Square Kilometre Array (SKA) as acceleration hardware. The frequency domain acceleration search (FDAS) module is an important part of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-02 Haomiao Wang , Prabu Thiagaraj , Oliver Sinnen

Graph neural networks (GNNs) have gained significant interest for applications such as citation network analysis and drug discovery due to their ability to apply machine learning techniques on graph-structured data. GNNs typically employ a…

Hardware Architecture · Computer Science 2026-05-28 Siddhartha Raman Sundara Raman , Lizy John , Jaydeep P. Kulkarni

Fast domain propagation of linear constraints has become a crucial component of today's best algorithms and solvers for mixed integer programming and pseudo-boolean optimization to achieve peak solving performance. Irregularities in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Boro Sofranac , Ambros Gleixner , Sebastian Pokutta

We describe an efficient algorithm for computing the matrix vector products that appear in the numerical resolution of boundary integral equations in 2 space dimension. This work is an extension of the so-called Sparse Cardinal Sine…

Numerical Analysis · Mathematics 2017-11-22 Martin Averseng

In computational science and data analytics, many workloads involve irregular and sparse computations that are inherently difficult to optimize for modern hardware. A key kernel is Sparse General Matrix-Matrix Multiplication (SpGEMM), which…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 Yifan Li , Giulia Guidi

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase optimal power flow in active distribution systems with dynamically changing topologies. To handle varying network configurations and enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Graph Neural Networks (GNNs) are a computationally efficient method to learn embeddings and classifications on graph data. However, GNN training has low computational intensity, making communication costs the bottleneck for scalability.…

Machine Learning · Computer Science 2025-04-08 Ujjaini Mukhodopadhyay , Alok Tripathy , Oguz Selvitopi , Katherine Yelick , Aydin Buluc

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

In this paper, we present a decomposition model for stereo matching to solve the problem of excessive growth in computational cost (time and memory cost) as the resolution increases. In order to reduce the huge cost of stereo matching at…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Chengtang Yao , Yunde Jia , Huijun Di , Pengxiang Li , Yuwei Wu
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