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Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

The exponential emergence of Field Programmable Gate Array (FPGA) has accelerated the research of hardware implementation of Deep Neural Network (DNN). Among all DNN processors, domain specific architectures, such as, Google's Tensor…

Hardware Architecture · Computer Science 2022-02-15 Rourab Paul , Sreetama Sarkar , Suman Sau , Koushik Chakraborty , Sanghamitra Roy , Amlan Chakrabarti

Matrix-accelerated stencil computation is a hot research topic, yet its application to three-dimensional (3D) high-order stencils and HPC remains underexplored. With the emergence of matrix units on multicore CPUs, we analyze matrix-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Yinuo Wang , Tianqi Mao , Lin Gan , Wubing Wan , Zeyu Song , Jiayu Fu , Lanke He , Wenqiang Wang , Zekun Yin , Wei Xue , Guangwen Yang

The exponentially growing model size drives the continued success of deep learning, but it brings prohibitive computation and memory cost. From the algorithm perspective, model sparsification and quantization have been studied to alleviate…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-09 Shigang Li , Kazuki Osawa , Torsten Hoefler

The performance of the Hybrid Monte Carlo algorithm is determined by the speed of sparse matrix-vector multiplication within the context of preconditioned conjugate gradient iteration. We study these operations as implemented for the…

Statistical Mechanics · Physics 2016-08-14 Kyle A. Wendt , Joaquín E. Drut , Timo A. Lähde

Many research works have been performed on implementation of Vitrerbi decoding algorithm on GPU instead of FPGA because this platform provides considerable flexibility in addition to great performance. Recently, the recently-introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Alireza Mohammadidoost , Matin Hashemi

FPGA is appropriate for fix-point neural networks computing due to high power efficiency and configurability. However, its design must be intensively refined to achieve high performance using limited hardware resources. We present an…

Hardware Architecture · Computer Science 2022-01-03 Qingyang Yi , Heming Sun , Masahiro Fujita

Despite foreseeing tremendous speedups over conventional deep neural networks, the performance advantage of binarized neural networks (BNNs) has merely been showcased on general-purpose processors such as CPUs and GPUs. In fact, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Ang Li , Simon Su

Conventional GPU implementations of Strassen's algorithm (Strassen) typically rely on the existing high-performance matrix multiplication (GEMM), trading space for time. As a result, such approaches can only achieve practical speedup for…

Mathematical Software · Computer Science 2018-08-27 Jianyu Huang , Chenhan D. Yu , Robert A. van de Geijn

Stencil computation constitutes a cornerstone of scientific computing, serving as a critical kernel in domains ranging from fluid dynamics to weather simulation. While stencil computations are conventionally regarded as memory-bound and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Qiqi Gu , Chenpeng Wu , Heng Shi , Jianguo Yao , Haibing Guan

Gravitational lensing calculation using a direct inverse ray-shooting approach is a computationally expensive way to determine magnification maps, caustic patterns, and light-curves (e.g. as a function of source profile and size). However,…

Instrumentation and Methods for Astrophysics · Physics 2009-09-28 Alexander C. Thompson , Christopher J. Fluke , David G. Barnes , Benjamin R. Barsdell

In 2019, the rapid rate at which GPU manufacturers refresh their designs, coupled with their reluctance to disclose microarchitectural details, is still a hurdle for those software designers who want to extract the highest possible…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Zhe Jia , Marco Maggioni , Jeffrey Smith , Daniele Paolo Scarpazza

We have repurposed Google Tensor Processing Units (TPUs), application-specific chips developed for machine learning, into large-scale dense linear algebra supercomputers. The TPUs' fast inter-core interconnects (ICI)s, physically…

Computational Physics · Physics 2022-09-14 Adam G. M. Lewis , Jackson Beall , Martin Ganahl , Markus Hauru , Shrestha Basu Mallick , Guifre Vidal

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

Machine Learning · Computer Science 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

Matrix multiplication is fundamental in the backpropagation algorithm used to train deep neural network models. Libraries like Intel's MKL or NVIDIA's cuBLAS implemented new and optimized matrix multiplication techniques that increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-28 L. A. Torres , Carlos J. Barrios H , Yves Denneulin

Strong gravitational lensing is a powerful probe of cosmology and the dark matter distribution. Efficient lensing software is already a necessity to fully use its potential and the performance demands will only increase with the upcoming…

Instrumentation and Methods for Astrophysics · Physics 2019-02-12 Markus Rexroth , Christoph Schäfer , Gilles Fourestey , Jean-Paul Kneib

In this paper, we evaluate training of deep recurrent neural networks with half-precision floats. We implement a distributed, data-parallel, synchronous training algorithm by integrating TensorFlow and CUDA-aware MPI to enable execution…

Machine Learning · Computer Science 2019-12-03 Alexey Svyatkovskiy , Julian Kates-Harbeck , William Tang

This whitepaper proposes the design and adoption of a new generation of Tensor Processing Unit which has the performance of Google's TPU, yet performs operations on wide precision data. The new generation TPU is made possible by…

Hardware Architecture · Computer Science 2017-06-13 Eric B. Olsen

With the widespread adoption of Large Language Models (LLMs), the demand for high-performance LLM inference services continues to grow. To meet this demand, a growing number of AI accelerators have been proposed, such as Google TPU, Huawei…

Hardware Architecture · Computer Science 2025-10-08 Tianhao Zhu , Dahu Feng , Erhu Feng , Yubin Xia

This paper describes the application of the code generated by the CAMPARY software to accelerate the solving of linear systems in the least squares sense on Graphics Processing Units (GPUs), in double double, quad double, and octo double…

Mathematical Software · Computer Science 2022-03-22 Jan Verschelde