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Error-bounded lossy compression has been a critical technique to significantly reduce the sheer amounts of simulation datasets for high-performance computing (HPC) scientific applications while effectively controlling the data distortion…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Tripti Agarwal , Sheng Di , Jiajun Huang , Yafan Huang , Ganesh Gopalakrishnan , Robert Underwood , Kai Zhao , Xin Liang , Guanpeng Li , Franck Cappello

Deep learning accelerators efficiently train over vast and growing amounts of data, placing a newfound burden on commodity networks and storage devices. A common approach to conserve bandwidth involves resizing or compressing data prior to…

Machine Learning · Computer Science 2021-08-13 Michael Kuchnik , George Amvrosiadis , Virginia Smith

We propose and analyze an inexact gradient method based on incremental proper orthogonal decomposition (iPOD) to address the data storage difficulty in time-dependent PDE-constrained optimization, particularly for a data assimilation…

Optimization and Control · Mathematics 2024-08-02 Xuejian Li , John R. Singler , Xiaoming He

Huffman compression is a statistical, lossless, data compression algorithm that compresses data by assigning variable length codes to symbols, with the more frequently appearing symbols given shorter codes than the less. This work is a…

Information Theory · Computer Science 2011-07-11 R. L. Cloud , M. L. Curry , H. L. Ward , A. Skjellum , P. Bangalore

Compression of floating-point data will play an important role in high-performance computing as data bandwidth and storage become dominant costs. Lossy compression of floating-point data is powerful, but theoretical results are needed to…

Numerical Analysis · Mathematics 2024-07-03 James Diffenderfer , Alyson Fox , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

More and more HPC applications require fast and effective compression techniques to handle large volumes of data in storage and transmission. Not only do these applications need to compress the data effectively during simulation, but they…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-11 Cody Rivera , Sheng Di , Jiannan Tian , Xiaodong Yu , Dingwen Tao , Franck Cappello

This study presents an efficient field-programmable gate array (FPGA) implementation of a polynomial spline function-based statistical compression algorithm designed to address the critical challenge of massive data transfer bandwidth in…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Zhenya Zang , Mike Davies , Istvan Gyongy

In response to the rapidly escalating costs of computing with large matrices and tensors caused by data movement, several lossy compression methods have been developed to significantly reduce data volumes. Unfortunately, all these methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-18 Tripti Agarwal , Harvey Dam , Dorra Ben Khalifa , Matthieu Martel , P. Sadayappan , Ganesh Gopalakrishnan

The unstructured sparsity after pruning poses a challenge to the efficient implementation of deep learning models in existing regular architectures like systolic arrays. On the other hand, coarse-grained structured pruning is suitable for…

Machine Learning · Computer Science 2024-11-22 Xizi Chen , Jingyang Zhu , Jingbo Jiang , Chi-Ying Tsui

Solvers for partial differential equations (PDE) are one of the cornerstones of computational science. For large problems, they involve huge amounts of data that needs to be stored and transmitted on all levels of the memory hierarchy.…

Numerical Analysis · Mathematics 2019-09-19 Sebastian Götschel , Martin Weiser

In this paper, we present a probabilistic analysis of iterative node-based verification-based (NB-VB) recovery algorithms over irregular graphs in the context of compressed sensing. Verification-based algorithms are particularly interesting…

Information Theory · Computer Science 2012-04-24 Yaser Eftekhari , Amir H. Banihashemi , Ioannis Lambadaris

Sparse matrix-vector multiplication (SpMV) is a fundamental building block for numerous applications. In this paper, we propose CSR5 (Compressed Sparse Row 5), a new storage format, which offers high-throughput SpMV on various platforms…

Mathematical Software · Computer Science 2015-04-13 Weifeng Liu , Brian Vinter

The implementation of modern monitoring systems for power quality disturbances have the potential to generate substantial amounts of data, reaching a point where transmission and storage of high-frequency measurements become impractical.…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Markus Stroot , Stefan Seiler , Philipp Lutat , Andreas Ulbig

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental computation in graph analytics, scientific simulation, and sparse deep learning workloads. However, the extreme irregularity of real-world sparse matrices prevents existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-11 Aiying Li , Jingwei Sun , Han Li , Wence Ji , Guangzhong Sun

In this paper, we address the problem of efficient execution of a computation pattern, referred to here as the irregular wavefront propagation pattern (IWPP), on hybrid systems with multiple CPUs and GPUs. The IWPP is common in several…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-18 George Teodoro , Tony Pan , Tahsin Kurc , Jun Kong , Lee Cooper , Joel Saltz

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. It is well known that SpGEMM is a memory-bound operation, and its peak performance is expected to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Zhixiang Gu , Jose Moreira , David Edelsohn , Ariful Azad

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

Numerical Analysis · Mathematics 2014-08-19 György Tegze , Gyula I. Tóth

Directional interpolation is a fast and efficient compression technique for high-frequency Helmholtz boundary integral equations, but it requires a very large amount of storage in its original form. Algebraic recompression can significantly…

Numerical Analysis · Mathematics 2023-10-23 Steffen Börm , Janne Henningsen

Since numbers in the computer are represented with a fixed number of bits, loss of accuracy during calculation is unavoidable. At high precision where more bits (e.g. 64) are allocated to each number, round-off errors are typically small.…

Numerical Analysis · Mathematics 2022-10-11 Yizhou Chen , Xiaoyun Gong , Xiang Ji
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