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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…

Computational Physics · Physics 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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Methodology · Statistics 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…

Databases · Computer Science 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…

Social and Information Networks · Computer Science 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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Numerical Analysis · Computer Science 2012-07-10 Raffaele Solcà , Thomas C. Schulthess , Azzam Haidar , Stanimire Tomov , Ichitaro Yamazaki , Jack Dongarra

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…

Artificial Intelligence · Computer Science 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…

Hardware Architecture · Computer Science 2023-01-27 Francisco Muñoz-Martínez , Raveesh Garg , José L. Abellán , Michael Pellauer , Manuel E. Acacio , Tushar Krishna

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…

Optimization and Control · Mathematics 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,…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Databases · Computer Science 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…

Hardware Architecture · Computer Science 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…

Numerical Analysis · Mathematics 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…

Distributed, Parallel, and Cluster Computing · Computer Science 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…

Distributed, Parallel, and Cluster Computing · Computer Science 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,…

Numerical Analysis · Mathematics 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…

Graphics · Computer Science 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,…

Numerical Analysis · Computer Science 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan