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We propose a high-performance GPU solver for inverse homogenization problems to design high-resolution 3D microstructures. Central to our solver is a favorable combination of data structures and algorithms, making full use of the parallel…

Optimization and Control · Mathematics 2023-05-26 Di Zhang , Xiaoya Zhai , Ligang Liu , Xiao-Ming Fu

The torrential influx of floating-point data from domains like IoT and HPC necessitates high-performance lossless compression to mitigate storage costs while preserving absolute data fidelity. Leveraging GPU parallelism for this task…

Databases · Computer Science 2025-11-12 Zheng Li , Weiyan Wang , Ruiyuan Li , Chao Chen , Xianlei Long , Linjiang Zheng , Quanqing Xu , Chuanhui Yang

High-performance tensor programs are crucial to guarantee efficient execution of deep neural networks. However, obtaining performant tensor programs for different operators on various hardware platforms is notoriously challenging.…

As the accuracy of machine learning models increases at a fast rate, so does their demand for energy and compute resources. On a low level, the major part of these resources is consumed by data movement between different memory units.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-04 Niels Gleinig , Tal Ben-Nun , Torsten Hoefler

This paper presents a code generator for sparse tensor contraction computations. It leverages a mathematical representation of loop nest computations in the sparse polyhedral framework (SPF), which extends the polyhedral model to support…

Programming Languages · Computer Science 2022-08-26 Tuowen Zhao , Tobi Popoola , Mary Hall , Catherine Olschanowsky , Michelle Mills Strout

Selected inversion is essential for applications such as Bayesian inference, electronic structure calculations, and inverse covariance estimation, where computing only specific elements of large sparse matrix inverses significantly reduces…

Performance · Computer Science 2025-09-03 Esmail Abdul Fattah , Hatem Ltaief , Havard Rue , David Keyes

Sparse deep learning has reduced computation significantly, but its irregular non-zero data distribution complicates the data flow and hinders data reuse, increasing on-chip SRAM access and thus power consumption of the chip. This paper…

Hardware Architecture · Computer Science 2025-03-26 Kai-Chieh Hsu , Tian-Sheuan Chang

Sparse matrix-matrix multiplication (SpGEMM) is a critical kernel widely employed in machine learning and graph algorithms. However, real-world matrices' high sparsity makes SpGEMM memory-intensive. In-situ computing offers the potential to…

Hardware Architecture · Computer Science 2023-11-08 Huize Li , Tulika Mitra

The Transformer has been an indispensable staple in deep learning. However, for real-life applications, it is very challenging to deploy efficient Transformers due to immense parameters and operations of models. To relieve this burden,…

Hardware Architecture · Computer Science 2022-11-01 Chao Fang , Aojun Zhou , Zhongfeng Wang

Graph neural networks (GNNs) have seen extensive application in domains such as social networks, bioinformatics, and recommendation systems. However, the irregularity and sparsity of graph data challenge traditional computing methods, which…

Machine Learning · Computer Science 2025-02-25 Ka Wai Wu

Gaussian processes (GPs) are typically criticised for their unfavourable scaling in both computational and memory requirements. For large datasets, sparse GPs reduce these demands by conditioning on a small set of inducing variables…

Sparse fusion is a compile-time loop transformation and runtime scheduling implemented as a domain-specific code generator. Sparse fusion generates efficient parallel code for the combination of two sparse matrix kernels where at least one…

Programming Languages · Computer Science 2021-11-25 Kazem Cheshmi , Michelle Mills Strout , Maryam Mehri Dehnavi

In trained deep neural networks, unstructured pruning can reduce redundant weights to lower storage cost. However, it requires the customization of hardwares to speed up practical inference. Another trend accelerates sparse model inference…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Zhuliang Yao , Shijie Cao , Wencong Xiao , Chen Zhang , Lanshun Nie

Deep generative models (DGMs) for graphs achieve impressively high expressive power thanks to very efficient and scalable neural networks. However, these networks contain non-linearities that prevent analytical computation of many standard…

Machine Learning · Computer Science 2025-08-12 Martin Rektoris , Milan Papež , Václav Šmídl , Tomáš Pevný

Modern ConvNets continue to achieve state-of-the-art results over a vast array of vision and image classification tasks, but at the cost of increasing parameters. One strategy for compactifying a network without sacrificing much expressive…

Machine Learning · Computer Science 2024-01-09 Tahseen Rabbani , Jiahao Su , Xiaoyu Liu , David Chan , Geoffrey Sangston , Furong Huang

Fueled by the ability to mine real-world graph data, GNN applications have experienced phenomenal growth. Sparse Matrix-Matrix Multiplication (SpMM) is a critical operator in GNNs. However, existing SpMM designs for GNNs struggle to adapt…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Lixing Zhang , Guanhua Ye , Hongzheng Li , Shigang Li , Yingxia Shao

Program synthesis is an umbrella term for generating programs and logical formulae from specifications. With the remarkable performance improvements that GPUs enable for deep learning, a natural question arose: can we also implement a…

Programming Languages · Computer Science 2025-04-29 Martin Berger , Nathanaël Fijalkow , Mojtaba Valizadeh

We introduce SpDISTAL, a compiler for sparse tensor algebra that targets distributed systems. SpDISTAL combines separate descriptions of tensor algebra expressions, sparse data structures, data distribution, and computation distribution.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

We extend an existing approach for efficient use of shared mapped memory across Chapel and C++ for graph data stored as 1-D arrays to sparse tensor data stored using a combination of 2-D and 1-D arrays. We describe the specific extensions…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-18 S. Isaac Geronimo Anderson , Daniel M. Dunlavy

Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

Mathematical Software · Computer Science 2018-02-09 Adam P. Harrison , Dileepan Joseph
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