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Basic Linear Algebra Subprograms (BLAS) is a core library in scientific computing and machine learning. This paper presents FT-BLAS, a new implementation of BLAS routines that not only tolerates soft errors on the fly, but also provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-09 Yujia Zhai , Elisabeth Giem , Quan Fan , Kai Zhao , Jinyang Liu , Zizhong Chen

High-performance implementations of graph algorithms are challenging to implement on new parallel hardware such as GPUs because of three challenges: (1) the difficulty of coming up with graph building blocks, (2) load imbalance on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-16 Carl Yang , Aydin Buluc , John D. Owens

KBLAS is a new open source high performance library that provides optimized kernels for a subset of Level 2 BLAS functionalities on CUDA-enabled GPUs. Since performance of dense matrix-vector multiplication is hindered by the overhead of…

Mathematical Software · Computer Science 2014-10-08 Ahmad Abdelfattah , David Keyes , Hatem Ltaief

The introduction of the Basic Linear Algebra Subroutine (BLAS) in the 1970s paved the way for different libraries to solve the same problem with an improved approach and hardware. The new BLAS implementation led to High-Performance…

Mathematical Software · Computer Science 2021-08-05 Amit Singh , Cem Bassoy

Basic Linear Algebra Subprograms (BLAS) play key role in high performance and scientific computing applications. Experimentally, yesteryear multicore and General Purpose Graphics Processing Units (GPGPUs) are capable of achieving up to 15…

Hardware Architecture · Computer Science 2016-11-29 Farhad Merchant , Tarun Vatwani , Anupam Chattopadhyay , Soumyendu Raha , S K Nandy , Ranjani Narayan

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

Spatial computing architectures pose an attractive alternative to mitigate control and data movement overheads typical of load-store architectures. In practice, these devices are rarely considered in the HPC community due to the steep…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-23 Tiziano De Matteis , Johannes de Fine Licht , Torsten Hoefler

BLAS Level 3 operations are essential for scientific computing, but finding the optimal number of threads for multi-threaded implementations on modern multi-core systems is challenging. We present an extension to the Architecture and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-01 Yufan Xia , Giuseppe Maria Junior Barca

In the world of linear algebra computation, a well-established standard exists called BLAS(Basic Linear Algebra Subprograms). This standard has been crucial for the development of software using linear algebra operations. Its benefits…

Mathematical Software · Computer Science 2024-10-10 Niklas Hörnblad

This paper introduces Helix, a distributed system for high-throughput, low-latency large language model (LLM) serving in heterogeneous GPU clusters. The key idea behind Helix is to formulate inference computation of LLMs over heterogeneous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-07 Yixuan Mei , Yonghao Zhuang , Xupeng Miao , Juncheng Yang , Zhihao Jia , Rashmi Vinayak

We present an approach for integrating the time evolution of quantum systems. We leverage the computation power of graphics processing units (GPUs) to perform the integration of all time steps in parallel. The performance boost is…

Numerical Analysis · Mathematics 2021-10-06 Konstantin Herb , Pol Welter

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-01 Guoxi Liu , Thomas Randall , Rong Ge , Federico Iuricich

Asymmetric processors have emerged as an appealing technology for severely energy-constrained environments, especially in the mobile market where heterogeneity in applications is mainstream. In addition, given the growing interest on ultra…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Sandra Catalán , Francisco D. Igual , Rafael Mayo , Luis Piñuel , Enrique S. Quintana-Ortí , Rafael Rodríguez-Sánchez

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

The analysis of graphs has become increasingly important to a wide range of applications. Graph analysis presents a number of unique challenges in the areas of (1) software complexity, (2) data complexity, (3) security, (4) mathematical…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 Jeremy Kepner , David Bader , Aydın Buluc , John Gilbert , Timothy Mattson , Henning Meyerhenke

Combinatorial algorithms such as those that arise in graph analysis, modeling of discrete systems, bioinformatics, and chemistry, are often hard to parallelize. The Combinatorial BLAS library implements key computational primitives for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Ariful Azad , Oguz Selvitopi , Md Taufique Hussain , John R. Gilbert , Aydin Buluc

The GraphBLAS high performance library standard has yielded capabilities beyond enabling graph algorithms to be readily expressed in the language of linear algebra. These GraphBLAS capabilities enable new performant ways of thinking about…

Data Structures and Algorithms · Computer Science 2025-09-24 Hayden Jananthan , Jeremy Kepner , Michael Jones , Vijay Gadepally , Michael Houle , Peter Michaleas , Chasen Milner , Alex Pentland

The resurgence of machine learning has increased the demand for high-performance basic linear algebra subroutines (BLAS), which have long depended on libraries to achieve peak performance on commodity hardware. High-performance BLAS…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Braedy Kuzma , Ivan Korostelev , João P. L. de Carvalho , José E. Moreira , Christopher Barton , Guido Araujo , José Nelson Amaral

Spatial (dataflow) computer architectures can mitigate the control and performance overhead of classical von Neumann architectures such as traditional CPUs. Driven by the popularity of Machine Learning (ML) workloads, spatial devices are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 Tristan Laan , Tiziano De Matteis

The GraphBLAS standard (GraphBlas.org) is being developed to bring the potential of matrix based graph algorithms to the broadest possible audience. Mathematically the Graph- BLAS defines a core set of matrix-based graph operations that can…

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