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Matrix multiplication is the foundation from much of the success from high performance technologies like deep learning, scientific simulations, and video graphics. High level programming languages like Python and R rely on highly optimized…

Performance · Computer Science 2025-09-08 Ethan Davis

BLASFEO is a dense linear algebra library providing high-performance implementations of BLAS- and LAPACK-like routines for use in embedded optimization and other applications targeting relatively small matrices. BLASFEO defines an API which…

Mathematical Software · Computer Science 2020-06-09 Gianluca Frison , Tommaso Sartor , Andrea Zanelli , Moritz Diehl

This work introduces CLBlast, an open-source BLAS library providing optimized OpenCL routines to accelerate dense linear algebra for a wide variety of devices. It is targeted at machine learning and HPC applications and thus provides a fast…

Mathematical Software · Computer Science 2018-04-30 Cedric Nugteren

Graph processing at scale presents many challenges, including the irregular structure of graphs, the latency-bound nature of graph algorithms, and the overhead associated with distributed execution. While existing frameworks such as Spark…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Karame Mohammadiporshokooh , Panagiotis Syskakis , Andrew Lumsdaine , Hartmut Kaiser

As large language models (LLMs) continue to scale, their workloads increasingly rely on distributed execution across multiple GPUs. However, the conventional bulk synchronous parallel~(BSP) model used in such settings introduces significant…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Octavian Alexandru Trifan , Karthik Sangaiah , Muhammad Awad , Muhammad Osama , Sumanth Gudaparthi , Alexandru Nicolau , Alexander Veidenbaum , Ganesh Dasika

Sustaining a large fraction of single GPU performance in parallel computations is considered to be the major problem of GPU-based clusters. In this article, this topic is addressed in the context of a lattice Boltzmann flow solver that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-01 Christian Feichtinger , Johannes Habich , Harald Koestler , Georg Hager , Ulrich Ruede , Gerhard Wellein

Load-balancing among the threads of a GPU for graph analytics workloads is difficult because of the irregular nature of graph applications and the high variability in vertex degrees, particularly in power-law graphs. We describe a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-28 Vishwesh Jatala , Loc Hoang , Roshan Dathathri , Gurbinder Gill , V Krishna Nandivada , Keshav Pingali

Asynchronous tasks, when created with over-decomposition, enable automatic computation-communication overlap which can substantially improve performance and scalability. This is not only applicable to traditional CPU-based systems, but also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-23 Jaemin Choi , David F. Richards , Laxmikant V. Kale

With the rapid evolution of GPU architectures, the heterogeneity of model training infrastructures is steadily increasing. In such environments, effectively utilizing all available heterogeneous accelerators becomes critical for distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Antian Liang , Zhigang Zhao , Kai Zhang , Xuri Shi , Chuantao Li , Chunxiao Wang , Zhenying He , Yinan Jing , X. Sean Wang

Linear algebra algorithms are used widely in a variety of domains, e.g machine learning, numerical physics and video games graphics. For all these applications, loop-level parallelism is required to achieve high performance. However,…

Machine Learning · Computer Science 2020-01-24 G. Laberge , S. Shirzad , P. Diehl , H. Kaiser , S. Prudhomme , A. Lemoine

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Fine-grained workload and resource balancing is the key to high performance for regular and irregular computations on the GPUs. In this dissertation, we conduct an extensive survey of existing load-balancing techniques to build an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Muhammad Osama

GPUs are now used for a wide range of problems within HPC. However, making efficient use of the computational power available with multiple GPUs is challenging. The main challenges in achieving good performance are memory layout, affecting…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-20 Robert Clucas , Philip Blakely , Nikolaos Nikiforakis

Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

Graph algorithms can be expressed in terms of linear algebra. GraphBLAS is a library of low-level building blocks for such algorithms that targets algorithm developers. LAGraph builds on top of the GraphBLAS to target users of graph…

Mathematical Software · Computer Science 2021-04-06 Gábor Szárnyas , David A. Bader , Timothy A. Davis , James Kitchen , Timothy G. Mattson , Scott McMillan , Erik Welch

To address the challenge of performance portability, and facilitate the implementation of electronic structure solvers, we developed the Basic Matrix Library (BML) and Parallel, Rapid O(N) and Graph-based Recursive Electronic Structure…

The significant resource demands in LLM serving prompts production clusters to fully utilize heterogeneous hardware by partitioning LLM models across a mix of high-end and low-end GPUs. However, existing parallelization approaches often…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-11 Zizhao Mo , Jianxiong Liao , Huanle Xu , Zhi Zhou , Chengzhong Xu

Efficient high-performance libraries often expose multiple tunable parameters to provide highly optimized routines. These can range from simple loop unroll factors or vector sizes all the way to algorithmic changes, given that some…

Performance · Computer Science 2022-02-22 Marco Cianfriglia , Flavio Vella , Cedric Nugteren , Anton Lokhmotov , Grigori Fursin

We describe a high-performance implementation of the lattice-Boltzmann method (LBM) for sparse geometries on graphic processors. In our implementation we cover the whole geometry with a uniform mesh of small tiles and carry out calculations…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-30 Tadeusz Tomczak , Roman G. Szafran

We are interested in parallelizing the Least Angle Regression (LARS) algorithm for fitting linear regression models to high-dimensional data. We consider two parallel and communication avoiding versions of the basic LARS algorithm. The two…

Machine Learning · Computer Science 2020-09-15 S. Das , J. Demmel , K. Fountoulakis , L. Grigori , M. W. Mahoney , S. Yang