Title
Greedy Approach Based Heuristics For Partitioning Sparse Matrices
Abstract
Sparse Matrix-Vector Multiplication (SpMxV) is widely used in many high-performance computing applications, including information retrieval, medical imaging, and economic modeling. To eliminate the overhead of zero padding in SpMxV, prior works have focused on partitioning a sparse matrix into row vectors sets (RVS's) or sub-matrices. However, performance was still degraded due to the sparsity pattern of a sparse matrix. In this letter, we propose a heuristics, called recursive merging, which uses a greedy approach to recursively merge those row vectors of nonzeros in a matrix into the RVS's, such that each set included is ensured a local optimal solution. For ten uneven benchmark matrices from the University of Florida Sparse Matrix Collection, our proposed partitioning algorithm is always identified as the method with the highest mean density (over 96%), but with the lowest average relative difference (below 0.07%) over computing powers.
Year
DOI
Venue
2015
10.1587/transinf.2015EDL8088
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
Field
DocType
partitioning, greedy approach, recursive merging, highest mean density, lowest average relative difference
Mathematical optimization,Pattern recognition,Computer science,Theoretical computer science,Heuristics,Artificial intelligence,Sparse matrix
Journal
Volume
Issue
ISSN
E98D
10
1745-1361
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Jia-Sen Huang1112.22
Junyan Ren215441.40
Wei Li333228.56