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We describe a new parallel implementation, mplrs, of the vertex enumeration code lrs that uses the MPI parallel environment and can be run on a network of computers. The implementation makes use of a C wrapper that essentially uses the…

Mathematical Software · Computer Science 2017-10-13 David Avis , Charles Jordan

General-purpose Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel in scientific computing and deep learning. The emergence of new matrix computation units such as Tensor Cores (TCs) brings more opportunities for SpMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-17 Haisha Zhao , San Li , Jiaheng Wang , Chunbao Zhou , Jue Wang , Zhikuang Xin , Shunde Li , Zhiqiang Liang , Zhijie Pan , Fang Liu , Yan Zeng , Yangang Wang , Xuebin Chi

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

Transformer-based large language models (LLMs) rely heavily on intensive matrix multiplications for attention and feed-forward layers, with the Q, K, and V linear projections in the Multi-Head Self-Attention (MHA) module constituting a…

Hardware Architecture · Computer Science 2025-05-22 Richie Li , Sicheng Chen

Developing high performance embedded vision applications requires balancing run-time performance with energy constraints. Given the mix of hardware accelerators that exist for embedded computer vision (e.g. multi-core CPUs, GPUs, and…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Murad Qasaimeh , Kristof Denolf , Jack Lo , Kees Vissers , Joseph Zambreno , Phillip H. Jones

In this paper, we provide an affirmative answer to the long-standing question: Are GPUs useful in solving linear programming? We present cuPDLP.jl, a GPU implementation of restarted primal-dual hybrid gradient (PDHG) for solving linear…

Optimization and Control · Mathematics 2024-06-10 Haihao Lu , Jinwen Yang

Principal component analysis (PCA) is a key statistical technique for multivariate data analysis. For large data sets the common approach to PCA computation is based on the standard NIPALS-PCA algorithm, which unfortunately suffers from…

Quantitative Methods · Quantitative Biology 2008-11-10 M. Andrecut

Algorithm learning is a core problem in artificial intelligence with significant implications on automation level that can be achieved by machines. Recently deep learning methods are emerging for synthesizing an algorithm from its…

Neural and Evolutionary Computing · Computer Science 2018-09-20 Karlis Freivalds , Renars Liepins

As fusion energy devices advance, plasma simulations are crucial for reactor design. Our work extends BIT1 hybrid parallelization by integrating MPI with OpenMP and OpenACC, focusing on asynchronous multi-GPU programming. Results show…

A recent Graph Neural Network (GNN) approach for learning to branch has been shown to successfully reduce the running time of branch-and-bound algorithms for Mixed Integer Linear Programming (MILP). While the GNN relies on a GPU for…

Machine Learning · Computer Science 2020-10-26 Prateek Gupta , Maxime Gasse , Elias B. Khalil , M. Pawan Kumar , Andrea Lodi , Yoshua Bengio

FPGAs are a promising platform for accelerating Deep Learning (DL) applications, due to their high performance, low power consumption, and reconfigurability. Recently, the leading FPGA vendors have enhanced their architectures to more…

Hardware Architecture · Computer Science 2024-04-18 Endri Taka , Dimitrios Gourounas , Andreas Gerstlauer , Diana Marculescu , Aman Arora

Maximal Biclique Enumeration (MBE) holds critical importance in graph theory with applications extending across fields such as bioinformatics, social networks, and recommendation systems. However, its computational complexity presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-23 Chou-Ying Hsieh , Chia-Ming Chang , Po-Hsiu Cheng , Sy-Yen Kuo

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

The exponential growth in data has intensified the demand for computational power to train large-scale deep learning models. However, the rapid growth in model size and complexity raises concerns about equal and fair access to computational…

Performance · Computer Science 2026-04-03 Lisan Al Amin , Md Ismail Hossain , Rupak Kumar Das , Mahbubul Islam , Abdulaziz Tabbakh

In this paper, we evaluate the portability of the SYCL programming model on some of the latest CPUs and GPUs from a wide range of vendors, utilizing the two main compilers: DPC++ and hipSYCL/OpenSYCL. Both compilers currently support GPUs…

Performance · Computer Science 2023-09-20 Istvan Z Reguly

Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units (GPUs). However, the computational performance of such…

Computational Physics · Physics 2016-04-20 Axel Modave , Amik St-Cyr , Tim Warburton

The effectiveness and efficiency of machine learning methodologies are crucial, especially with respect to the quality of results and computational cost. This paper discusses different model optimization techniques, providing a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-30 Marcin Lawenda , Kyrylo Khloponin , Krzesimir Samborski , Łukasz Szustak

We present a mixed-precision benchmark called HPL-MxP that uses both a lower-precision LU factorization with a non-stationary iterative refinement based on GMRES. We evaluate the numerical stability of one of the methods of generating the…

Numerical Analysis · Mathematics 2025-09-25 Jack Dongarra , Piotr Luszczek

The push for greater efficiency in AI computation has given rise to an array of accelerator architectures that increasingly challenge the GPU's long-standing dominance. In this work, we provide a quantitative view of this evolving landscape…

Hardware Architecture · Computer Science 2026-04-14 Alicia Golden , Carole-Jean Wu , Gu-Yeon Wei , David Brooks

OpenCL, along with CUDA, is one of the main tools used to program GPGPUs. However, it allows running the same code on multi-core CPUs too, making it a rival for the long-established OpenMP. In this paper we compare OpenCL and OpenMP when…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Kamran Karimi
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