SaSpGEMM: Sorting-Avoiding Sparse General Matrix-Matrix Multiplication on Multi-Core Processors
Pages 1166 - 1175
Abstract
We propose the SaSpGEMM: a parallel sparse general matrix-matrix multiplication (SpGEMM) to avoid the overhead of sorting. The typical workflow of SpGEMM contains: size prediction, memory allocation, numeric calculation and sorting. However, sorting has always been overlooked as a bottleneck in the performance of SpGEMM. It constitutes an average of 30% in HASH and 55% in ESC during the calculation stage. The key idea behind SaSpGEMM is to leverage the compressed sparse row (CSR) storage format’s feature of increasing index order of elements in the same row which is sorted during preprocessing, preserving intermediate products ordered consistently. To achieve this, we introduce a linked list-based accumulator (LLA) designed for batch insertion while maintaining order with a low time complexity. We provide a comprehensive empirical evidence showing that SaSpGEMM outperforms other methods based on time complexity analysis. Compared to three state-of-the-art methods ESC, SPA, and HASH on both x86 (Intel Xeon Gold 6348) and ARM (Phytium2000+) architectures, our method achieves an average speedup of 2.82x, 5.24x, 1.16x (with a maximum speedup of 34.4x, 195x, 23.3x) on the Intel Xeon Gold 6348. On the Phytium2000+, it achieves an average speedup of 2.21x, 4,65x, 1.05x (with a maximum speedup of 40.93x, 146.7x, 9.03x).
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Index Terms
- SaSpGEMM: Sorting-Avoiding Sparse General Matrix-Matrix Multiplication on Multi-Core Processors
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August 2024
1279 pages
ISBN:9798400717932
DOI:10.1145/3673038
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Published: 12 August 2024
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ICPP '24: the 53rd International Conference on Parallel Processing
August 12 - 15, 2024
Gotland, Sweden
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