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We present a scalable parallel solver for numerical constraint satisfaction problems (NCSPs). Our parallelization scheme consists of homogeneous worker solvers, each of which runs on an available core and communicates with others via the…

分布式、并行与集群计算 · 计算机科学 2015-05-19 Daisuke Ishii , Kazuki Yoshizoe , Toyotaro Suzumura

The solution of (generalized) eigenvalue problems for symmetric or Hermitian matrices is a common subtask of many numerical calculations in electronic structure theory or materials science. Solving the eigenvalue problem can easily amount…

数学软件 · 计算机科学 2020-01-08 P. Kus , A. Marek , S. S. Koecher , H. -H. Kowalski , C. Carbogno , Ch. Scheurer , K. Reuter , M. Scheffler , H. Lederer

Modern GPU-based high-performance computing clusters offer unprecedented communication bandwidth through heterogeneous intra-node interconnects and inter-node networks. However, despite this high aggregate bandwidth, many real-world…

分布式、并行与集群计算 · 计算机科学 2026-04-02 Jinghan Yao , Kaushik Kandadi , Bharath Ramesh , Hari Subramoni , Dhabaleswar K. Panda

We present a library of efficient implementations of deep learning primitives. Deep learning workloads are computationally intensive, and optimizing their kernels is difficult and time-consuming. As parallel architectures evolve, kernels…

神经与进化计算 · 计算机科学 2014-12-19 Sharan Chetlur , Cliff Woolley , Philippe Vandermersch , Jonathan Cohen , John Tran , Bryan Catanzaro , Evan Shelhamer

We introduce CaLES, a GPU-accelerated finite-difference solver designed for large-eddy simulations (LES) of incompressible wall-bounded flows in massively parallel environments. Built upon the existing direct numerical simulation (DNS)…

流体动力学 · 物理学 2024-11-18 Maochao Xiao , Alessandro Ceci , Pedro Costa , Johan Larsson , Sergio Pirozzoli

We investigate the energy efficiency of a library designed for parallel computations with sparse matrices. The library leverages high-performance, energy-efficient Graphics Processing Unit (GPU) accelerators to enable large-scale scientific…

分布式、并行与集群计算 · 计算机科学 2026-04-16 Massimo Bernaschi , Alessandro Celestini , Pasqua D'Ambra , Giorgio Richelli

Large-scale Bundle Adjustment (BA) requires massive memory and computation resources which are difficult to be fulfilled by existing BA libraries. In this paper, we propose MegBA, a GPU-based distributed BA library. MegBA can provide…

计算机视觉与模式识别 · 计算机科学 2022-08-03 Jie Ren , Wenteng Liang , Ran Yan , Luo Mai , Shiwen Liu , Xiao Liu

Collective communication is a major bottleneck for multi-node GPU workloads in scientific computing and distributed deep learning, especially when inter-node bandwidth is limited. Although NCCL provides optimized GPU-centric collectives,…

分布式、并行与集群计算 · 计算机科学 2026-05-13 Jiamin Wang , Zhijing Ye , Xiaodong Yu

The NVIDIA Collective Communication Library (NCCL) is a critical software layer enabling high-performance collectives on large-scale GPU clusters. Despite being open source with a documented API, its internal design remains largely opaque.…

分布式、并行与集群计算 · 计算机科学 2026-03-03 Zhiyi Hu , Siyuan Shen , Tommaso Bonato , Sylvain Jeaugey , Cedell Alexander , Eric Spada , James Dinan , Jeff Hammond , Torsten Hoefler

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

分布式、并行与集群计算 · 计算机科学 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

This paper presents a GPU-accelerated framework for solving block tridiagonal linear systems that arise naturally in numerous real-time applications across engineering and scientific computing. Through a multi-stage permutation strategy…

最优化与控制 · 数学 2026-01-08 Roland Schwan , Daniel Kuhn , Colin N. Jones

Calculating portions of eigenvalues and eigenvectors of matrices or matrix pencils has many applications. An approach to this calculation for Hermitian problems based on a density matrix has been proposed in 2009 and a software package…

数值分析 · 数学 2014-04-11 Ping Tak Peter Tang , James Kestyn , Eric Polizzi

Interior eigenvalue problems for large-scale sparse Hermitian matrices are fundamental in computational science. We propose an adaptive polynomial filtering strategy based on Chebyshev expansion of a step function, integrated into a…

数值分析 · 数学 2026-04-02 Xiaofei Xu , Yuhui Ni , Shengguo Li , Juan Zhang

Auto-Encoder (AE)-based deep subspace clustering (DSC) methods have achieved impressive performance due to the powerful representation extracted using deep neural networks while prioritizing categorical separability. However,…

计算机视觉与模式识别 · 计算机科学 2021-05-17 Juncheng Lv , Zhao Kang , Xiao Lu , Zenglin Xu

In this paper, by introducing a class of relaxed filtered Krylov subspaces, we propose the relaxed filtered Krylov subspace method for computing the eigenvalues with the largest real parts and the corresponding eigenvectors of non-symmetric…

数值分析 · 数学 2020-11-17 Cun-Qiang Miao , Wen-Ting Wu

Unstructured meshes present challenges in scientific data analysis due to irregular distribution and complex connectivity. Computing and storing connectivity information is a major bottleneck for visualization algorithms, affecting both…

分布式、并行与集群计算 · 计算机科学 2025-08-01 Guoxi Liu , Thomas Randall , Rong Ge , Federico Iuricich

The solution of eigenproblems is often a key computational bottleneck that limits the tractable system size of numerical algorithms, among them electronic structure theory in chemistry and in condensed matter physics. Large eigenproblems…

Neuroimaging open-data initiatives have led to increased availability of large scientific datasets. While these datasets are shifting the processing bottleneck from compute-intensive to data-intensive, current standardized analysis tools…

分布式、并行与集群计算 · 计算机科学 2024-04-18 Valérie Hayot-Sasson , Tristan Glatard

Collective communication is becoming increasingly important in data center and supercomputer workloads with an increase in distributed AI related jobs. However, existing libraries that provide collective support such as NCCL, RCCL, and…

分布式、并行与集群计算 · 计算机科学 2026-03-17 Siddharth Singh , Keshav Pradeep , Mahua Singh , Cunyang Wei , Abhinav Bhatele

We propose an eigensolver and the corresponding package, GCGE, for solving large scale eigenvalue problems. This method is the combination of damping idea, subspace projection method and inverse power method with dynamic shifts. To reduce…

数值分析 · 数学 2021-11-15 Yu Li , Zijing Wang , Hehu Xie