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We present a greedy algorithm for computing selected eigenpairs of a large sparse matrix $H$ that can exploit localization features of the eigenvector. When the eigenvector to be computed is localized, meaning only a small number of its…

计算物理 · 物理学 2021-02-09 Taylor M. Hernandez , Roel Van Beeumen , Mark A. Caprio , Chao Yang

To accelerate the solution of large eigenvalue problems arising from many-body calculations in nuclear physics on distributed-memory parallel systems equipped with general-purpose Graphic Processing Units (GPUs), we modified a previously…

分布式、并行与集群计算 · 计算机科学 2021-09-02 Pieter Maris , Chao Yang , Dossay Oryspayev , Brandon Cook

In addressing the challenge of analysing the large-scale Adolescent Brain Cognition Development (ABCD) fMRI dataset, involving over 5,000 subjects and extensive neuroimaging data, we propose a scalable Bayesian scalar-on-image regression…

统计方法学 · 统计学 2024-03-21 Anna Menacher , Thomas E. Nichols , Timothy D. Johnson , Jian Kang

Recent graph computation approaches have demonstrated that a single PC can perform efficiently on billion-scale graphs. While these approaches achieve scalability by optimizing I/O operations, they do not fully exploit the capabilities of…

数据库 · 计算机科学 2016-09-16 Hugo Gualdron , Robson Cordeiro , Jose Rodrigues-Jr , Duen Chau , Minsuk Kahng , U Kang

We study large-scale network embedding with the goal of generating high-quality embeddings for networks with more than 1 billion vertices and 100 billion edges. Recent attempts LightNE and NetSMF propose to sparsify and factorize the…

社会与信息网络 · 计算机科学 2024-02-02 Yuyang Xie , Yuxiao Dong , Jiezhong Qiu , Wenjian Yu , Xu Feng , Jie Tang

Graph Spectral Sparsification (GSS) identifies an ultra-sparse subgraph, or sparsifier, whose Laplacian matrix closely approximates the spectral properties of the original graph, enabling substantial reductions in computational complexity…

分布式、并行与集群计算 · 计算机科学 2025-08-29 Tiancheng Zhao , Zekun Yin , Huihai An , Xiaoyu Yang , Zhou Jin , Jiasi Shen , Helen Xu

The adoption of hybrid GPU-CPU nodes in traditional supercomputing platforms opens acceleration opportunities for electronic structure calculations in materials science and chemistry applications, where medium sized Hermitian generalized…

Edge computing's growing prominence, due to its ability to reduce communication latency and enable real-time processing, is promoting the rise of high-performance, heterogeneous System-on-Chip solutions. While current approaches often…

人工智能 · 计算机科学 2024-09-24 Rakshith Jayanth , Neelesh Gupta , Viktor Prasanna

Sparsity is a growing trend in modern DNN models. Existing Sparse-Sparse Matrix Multiplication (SpMSpM) accelerators are tailored to a particular SpMSpM dataflow (i.e., Inner Product, Outer Product or Gustavsons), that determines their…

We propose a high-performance GPU solver for inverse homogenization problems to design high-resolution 3D microstructures. Central to our solver is a favorable combination of data structures and algorithms, making full use of the parallel…

最优化与控制 · 数学 2023-05-26 Di Zhang , Xiaoya Zhai , Ligang Liu , Xiao-Ming Fu

Graph mining is one of the most important categories of graph algorithms. However, exploring the subgraphs of an input graph produces a huge amount of intermediate data. The 'think like a vertex' programming paradigm, pioneered by Pregel,…

分布式、并行与集群计算 · 计算机科学 2019-05-24 Cheng Zhao , Zhibin Zhang , Peng Xu , Tianqi Zheng , Xueqi Cheng

We present a shared-memory algorithm to compute high-quality solutions to the balanced $k$-way hypergraph partitioning problem. This problem asks for a partition of the vertex set into $k$ disjoint blocks of bounded size that minimizes the…

数据结构与算法 · 计算机科学 2021-04-19 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

Graph-based approximate nearest neighbor search (ANNS) methods (e.g., HNSW) have become the de facto state of the art for their high precision and low latency. To scale beyond main memory, recent out-of-memory ANNS systems leverage SSDs to…

数据库 · 计算机科学 2026-02-27 Weichen Zhao , Yuncheng Lu , Yao Tian , Hao Zhang , Jiehui Li , Minghao Zhao , Yakun Li , Weining Qian

We propose ZnG, a new GPU-SSD integrated architecture, which can maximize the memory capacity in a GPU and address performance penalties imposed by an SSD. Specifically, ZnG replaces all GPU internal DRAMs with an ultra-low-latency SSD to…

硬件体系结构 · 计算机科学 2020-06-17 Jie Zhang , Myoungsoo Jung

We present a high-performance solver for dense skew-symmetric matrix eigenvalue problems. Our work is motivated by applications in computational quantum physics, where one solution approach to solve the so-called Bethe-Salpeter equation…

数值分析 · 数学 2020-06-05 Carolin Penke , Andreas Marek , Christian Vorwerk , Claudia Draxl , Peter Benner

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

分布式、并行与集群计算 · 计算机科学 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

We propose different implementations of the sparse matrix--dense vector multiplication (\spmv{}) for finite fields and rings $\Zb/m\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve…

分布式、并行与集群计算 · 计算机科学 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

The eigenvalue problem of a graph Laplacian matrix $L$ arising from a simple, connected and undirected graph has been given more attention due to its extensive applications, such as spectral clustering, community detection, complex network,…

数值分析 · 数学 2018-10-23 Wei-Qiang Huang , Wen-Wei Lin , Henry Horng-Shing Lu , Shing-Tung Yau

We propose a new gradient-domain technique for processing registered EM image stacks to remove inter-image discontinuities while preserving intra-image detail. To this end, we process the image stack by first performing anisotropic…

图形学 · 计算机科学 2015-06-09 Michael Kazhdan , Kunal Lillaney , William Roncal , Davi Bock , Joshua Vogelstein , Randal Burns

Scaling up the sparse matrix-vector multiplication kernel on modern Graphics Processing Units (GPU) has been at the heart of numerous studies in both academia and industry. In this article we present a novel non-parametric, self-tunable,…

数值分析 · 计算机科学 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan