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Sparse Tensor Cores offer exceptional performance gains for AI workloads by exploiting structured 2:4 sparsity. However, their potential remains untapped for core scientific workloads such as stencil computations, which exhibit irregular…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Qi Li , Kun Li , Haozhi Han , Liang Yuan , Junshi Chen , Yunquan Zhang , Yifeng Chen , Hong An , Ting Cao , Mao Yang

In many important applications -- such as search engines and relational database systems -- data is stored in the form of arrays of integers. Encoding and, most importantly, decoding of these arrays consumes considerable CPU time.…

Information Retrieval · Computer Science 2021-02-02 Daniel Lemire , Leonid Boytsov

Stencil computation is one of the most widely-used compute patterns in high performance computing applications. Spatial and temporal blocking have been proposed to overcome the memory-bound nature of this type of computation by moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-04 Kazuaki Matsumura , Hamid Reza Zohouri , Mohamed Wahib , Toshio Endo , Satoshi Matsuoka

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

Bandwidth-starved multicore chips have become ubiquitous. It is well known that the performance of stencil codes can be improved by temporal blocking, lessening the pressure on the memory interface. We introduce a new pipelined approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-17 Markus Wittmann , Georg Hager , Jan Treibig , Gerhard Wellein

The technologies of heterogeneous multi-core architectures, co-location, and virtualization can be used to reduce server power consumption and improve system utilization, which are three important technologies for data centers. This article…

Operating Systems · Computer Science 2023-10-24 Yecheng Yang , Pu Pang , Jiawen Wang , Quan Chen , Minyi Guo

A generalized prefactorization of compact schemes aimed at reducing the stencil and improving the computational efficiency is proposed here in the framework of transport equations. By the prefactorization introduced here, the computational…

Numerical Analysis · Mathematics 2019-02-13 Adrian Sescu

We advocate the Loop-of-stencil-reduce pattern as a means of simplifying the implementation of data-parallel programs on heterogeneous multi-core platforms. Loop-of-stencil-reduce is general enough to subsume map, reduce, map-reduce,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-16 M. Aldinucci , M. Danelutto , M. Drocco , P. Kilpatrick , C. Misale , G. Peretti Pezzi , M. Torquati

Stencil computation is one of the most used kernels in a wide variety of scientific applications, ranging from large-scale weather prediction to solving partial differential equations. Stencil computations are characterized by three unique…

Hardware Architecture · Computer Science 2023-09-07 Alain Denzler , Rahul Bera , Nastaran Hajinazar , Gagandeep Singh , Geraldo F. Oliveira , Juan Gómez-Luna , Onur Mutlu

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

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

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

Data Structures and Algorithms · Computer Science 2016-01-08 Foad Lotfifar , Matthew Johnson

Stencil computations are a fundamental kernel in scientific computing, critical for simulations in domains such as fluid dynamics and climate modeling. However, these computations are often memory-bound on traditional High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Elia Belli , Daniele De Sensi

The key common bottleneck in most stencil codes is data movement, and prior research has shown that improving data locality through optimisations that schedule across loops do particularly well. However, in many large PDE applications it is…

Performance · Computer Science 2017-11-30 Istvan Z Reguly , Gihan R Mudalige , Mike B Giles

Leveraging spatial sparsity has become a popular approach to accelerate 3D computer graphics applications. Spatially sparse data structures and efficient sparse kernels (such as parallel stencil operations on active voxels), are key to…

Programming Languages · Computer Science 2021-06-23 Yuanming Hu , Mingkuan Xu , Ye Kuang , Frédo Durand

Computed Tomography (CT) is a key 3D imaging technology that fundamentally relies on the compute-intense back-projection operation to generate 3D volumes. GPUs are typically used for back-projection in production CT devices. However, with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-28 Peng Chen , Mohamed Wahib , Xiao Wang , Shinichiro Takizawa , Takahiro Hirofuchi , Hirotaka Ogawa , Satoshi Matsuoka

Block iterative methods are extremely important as smoothers for multigrid methods, as preconditioners for Krylov methods, and as solvers for diagonally dominant linear systems. Developing robust and efficient algorithms suitable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-16 Manuel Birke , Bobby Philip , Zhen Wang , Mark Berrill

Simple stencil codes are and remain an important building block in scientific computing. On shared memory nodes, they are traditionally parallelised through colouring or (recursive) tiling. New OpenMP versions alternatively allow users to…

Mathematical Software · Computer Science 2018-10-10 Benjamin Hazelwood , Tobias Weinzierl

An out-of-core stencil computation code handles large data whose size is beyond the capacity of GPU memory. Whereas, such an code requires streaming data to and from the GPU frequently. As a result, data movement between the CPU and GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-26 Jingcheng Shen , Xin Deng , Yifan Wu , Masao Okita , Fumihiko Ino