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Related papers: Do We Need Tensor Cores for Stencil Computations?

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Tensor computations present significant performance challenges that impact a wide spectrum of applications ranging from machine learning, healthcare analytics, social network analysis, data mining to quantum chemistry and signal processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-06 Jiajia Li , Mahesh Lakshminarasimhan , Xiaolong Wu , Ang Li , Catherine Olschanowsky , Kevin Barker

Stencil computations represent a very common class of nested loops in scientific and engineering applications. Exploiting vector units in modern CPUs is crucial to achieving peak performance. Previous vectorization approaches often consider…

Mathematical Software · Computer Science 2020-10-13 Liang Yuan , Hang Cao , Yunquan Zhang , Kun Li , Pengqi Lu , Yue Yue

Tensor computations, with matrix multiplication being the primary operation, serve as the fundamental basis for data analysis, physics, machine learning, and deep learning. As the scale and complexity of data continue to grow rapidly, the…

Hardware Architecture · Computer Science 2024-10-24 Qizhe Wu , Yuchen Gui , Zhichen Zeng , Xiaotian Wang , Huawen Liang , Xi Jin

Many architects believe that major improvements in cost-energy-performance must now come from domain-specific hardware. This paper evaluates a custom ASIC---called a Tensor Processing Unit (TPU)---deployed in datacenters since 2015 that…

Sparse tensor algebra computations have become important in many real-world applications like machine learning, scientific simulations, and data mining. Hence, automated code generation and performance optimizations for tensor algebra…

Programming Languages · Computer Science 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

Stencil computation is one of the most important kernels in various scientific and engineering applications. A variety of work has focused on vectorization and tiling techniques, aiming at exploiting the in-core data parallelism and data…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-19 Kun Li , Liang Yuan , Yunquan Zhang , Yue Yue , Hang Cao , Pengqi Lu

In recent years, there is a surge on machine learning applications in industry. Many of them are based on popular AI frameworks like Tensorflow, Torch, Caffe, or MxNet, etc, and are enpowered by accelerator platforms such as GPUs. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-14 Guoping Long , Jun Yang , Kai Zhu , Wei Lin

Stencil computations are a key class of applications, widely used in the scientific computing community, and a class that has particularly benefited from performance improvements on architectures with high memory bandwidth. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Istvan Z Reguly , Gihan R Mudalige , Michael B Giles

Stencil computation is one of the most important kernels in various scientific and engineering applications. A variety of work has focused on vectorization techniques, aiming at exploiting the in-core data parallelism. Briefly, they either…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-18 Kun Li , Liang Yuan , Yunquan Zhang , Yue Yue , Hang Cao , Pengqi Lu

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

We introduce QPU micro-kernels: shallow quantum circuits that perform a stencil node update and return a Monte Carlo estimate from repeated measurements. We show how to use them to solve Partial Differential Equations (PDEs) explicitly…

Emerging Technologies · Computer Science 2025-11-18 Stefano Markidis , Luca Pennati , Marco Pasquale , Gilbert Netzer , Ivy Peng

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

Stencil computations are widely used to simulate the change of state of physical systems across a multidimensional grid over multiple timesteps. The state-of-the-art techniques in this area fall into three groups: cache-aware tiled looping…

Data Structures and Algorithms · Computer Science 2021-05-17 Zafar Ahmad , Rezaul Chowdhury , Rathish Das , Pramod Ganapathi , Aaron Gregory , Yimin Zhu

Fast and accurate climate simulations and weather predictions are critical for understanding and preparing for the impact of climate change. Real-world weather and climate modeling consist of complex compound stencil kernels that do not…

As neural network model sizes have dramatically increased, so has the interest in various techniques to reduce their parameter counts and accelerate their execution. An active area of research in this field is sparsity - encouraging zero…

Stencil algorithms on regular lattices appear in many fields of computational science, and much effort has been put into optimized implementations. Such activities are usually not guided by performance models that provide estimates of…

Performance · Computer Science 2016-01-28 Holger Stengel , Jan Treibig , Georg Hager , Gerhard Wellein

Stencil computations lie at the heart of many scientific and industrial applications. Unfortunately, stencil algorithms perform poorly on machines with cache based memory hierarchy, due to low re-use of memory accesses. This work shows that…

Mathematical Software · Computer Science 2022-04-11 Mathias Jacquelin , Mauricio Araya-Polo , Jie Meng

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

In this paper, we explore the acceleration of tensor product operations in finite element methods, leveraging the computational power of the NVIDIA A100 GPU Tensor Cores. We provide an accessible overview of the necessary mathematical…

Mathematical Software · Computer Science 2024-07-16 Cu Cui

Accelerated computing is widely used in high-performance computing. Therefore, it is crucial to experiment and discover how to better utilize GPUGPUs latest generations on relevant applications. In this paper, we present results and share…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Baodi Shan , Mauricio Araya-Polo