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We introduce Stardust, a compiler that compiles sparse tensor algebra to reconfigurable dataflow architectures (RDAs). Stardust introduces new user-provided data representation and scheduling language constructs for mapping to…

Programming Languages · Computer Science 2022-11-08 Olivia Hsu , Alexander Rucker , Tian Zhao , Kunle Olukotun , Fredrik Kjolstad

Dense linear algebra libraries, such as BLAS and LAPACK, provide a relevant collection of numerical tools for many scientific and engineering applications. While there exist high performance implementations of the BLAS (and LAPACK)…

Mathematical Software · Computer Science 2015-11-09 Sandra Catalán , José R. Herrero , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

An open-source middleware EigenKernel was developed for use with parallel generalized eigenvalue solvers or large-scale electronic state calculation to attain high scalability and usability. The middleware enables the users to choose the…

To exploit both memory locality and the full performance potential of highly tuned kernels, dense linear algebra libraries such as LAPACK commonly implement operations as blocked algorithms. However, to achieve next-to-optimal performance…

Mathematical Software · Computer Science 2022-04-08 Elmar Peise , Paolo Bientinesi

The performance of discrete general purpose graphics processing units (GPGPUs) has been improving at a rapid pace. The PCIe interconnect that controls the communication of data between the system host memory and the GPU has not improved as…

Computational Physics · Physics 2019-05-15 Connor Kenyon , Glenn Volkema , Gaurav Khanna

For large-scale graph analytics on the GPU, the irregularity of data access and control flow, and the complexity of programming GPUs, have presented two significant challenges to developing a programmable high-performance graph library.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-06 Yangzihao Wang , Yuechao Pan , Andrew Davidson , Yuduo Wu , Carl Yang , Leyuan Wang , Muhammad Osama , Chenshan Yuan , Weitang Liu , Andy T. Riffel , John D. Owens

The MIT/IEEE/Amazon GraphChallenge.org encourages community approaches to developing new solutions for analyzing graphs and sparse data. Sparse AI analytics present unique scalability difficulties. The proposed Sparse Deep Neural Network…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Jeremy Kepner , Simon Alford , Vijay Gadepally , Michael Jones , Lauren Milechin , Ryan Robinett , Sid Samsi

Solving differential equations is a critical challenge across a host of domains. While many software packages efficiently solve these equations using classical numerical approaches, there has been less effort in developing a library for…

Machine Learning · Computer Science 2025-02-19 Shuheng Liu , Pavlos Protopapas , David Sondak , Feiyu Chen

The Portable Extensible Toolkit for Scientific Computation (PETSc) library provides scalable solvers for nonlinear time-dependent differential and algebraic equations and for numerical optimization via the Toolkit for Advanced Optimization…

This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes but is not limited to the solution of linear systems obtained from the…

Mathematical Software · Computer Science 2021-04-20 Boris Krasnopolsky , Alexey Medvedev

Large symmetric eigenvalue problems are commonly observed in many disciplines such as Chemistry and Physics, and several libraries including cuSOLVERMp, MAGMA and ELPA support computing large eigenvalue decomposition on multi-GPU or…

Mathematical Software · Computer Science 2025-11-21 Hansheng Wang , Ruiyi Zhan , Dajun Huang , Xingchen Liu , Qiao Li , Hancong Duan , Dingwen Tao , Guangming Tan , Shaoshuai Zhang

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

The ISO C++17 standard introduces \emph{parallel algorithms}, a parallel programming model promising portability across a wide variety of parallel hardware including multi-core CPUs, GPUs, and FPGAs. Since 2019, the NVIDIA HPC SDK compiler…

Mathematical Software · Computer Science 2023-02-20 Uzmar Gomez , Gonzalo Brito Gadeschi , Tobias Weinzierl

We demonstrate a high-performance vendor-agnostic method for massively parallel solving of ensembles of ordinary differential equations (ODEs) and stochastic differential equations (SDEs) on GPUs. The method is integrated with a widely used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-20 Utkarsh Utkarsh , Valentin Churavy , Yingbo Ma , Tim Besard , Prakitr Srisuma , Tim Gymnich , Adam R. Gerlach , Alan Edelman , George Barbastathis , Richard D. Braatz , Christopher Rackauckas

Integrating GPUs into serverless computing platforms is crucial for improving efficiency. However, existing solutions for GPU-enabled serverless computing platforms face two significant problems due to coarse-grained GPU management: long…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-24 Han Zhao , Weihao Cui , Quan Chen , Shulai Zhang , Zijun Li , Jingwen Leng , Chao Li , Deze Zeng , Minyi Guo

Designing efficient and scalable sparse linear algebra kernels on modern multi-GPU based HPC systems is a daunting task due to significant irregular memory references and workload imbalance across the GPUs. This is particularly the case for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-15 Chenhao Xie , Jieyang Chen , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

Edge computing and IoT applications are severely constrained by limited hardware resource. This makes memory consuming DNN frameworks not applicable to edge computing. Simple algorithms such as direct convolution are finding their way in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-17 Xianwei Cheng , Hui Zhao , Mahmut Kandemir , Saraju Mohanty , Beilei Jiang

GPU hash tables are increasingly used to accelerate data processing, but their limited functionality restricts adoption in large-scale data processing applications. Current limitations include incomplete concurrency support and missing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-24 Hunter McCoy , Prashant Pandey

Clawpack is a library for solving nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters. It supports Adaptive Mesh Refinement (AMR), which is essential in…

Mathematical Software · Computer Science 2018-08-09 Xinsheng Qin , Randall J. LeVeque , Michael R. Motley

Deep neural networks (DNNs) have been proving the effectiveness in various computing fields. To provide more efficient computing platforms for DNN applications, it is essential to have evaluation environments that include assorted benchmark…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Aajna Karki , Chethan Palangotu Keshava , Spoorthi Mysore Shivakumar , Joshua Skow , Goutam Madhukeshwar Hegde , Hyeran Jeon