Title
Fast Randomized Matrix And Tensor Interpolative Decomposition Using Countsketch
Abstract
We propose a new fast randomized algorithm for interpolative decomposition of matrices which utilizes CountSketch. We then extend this approach to the tensor interpolative decomposition problem introduced by Biagioni et al. (J. Comput. Phys. 281(C), 116-134 (2015)). Theoretical performance guarantees are provided for both the matrix and tensor settings. Numerical experiments on both synthetic and real data demonstrate that our algorithms maintain the accuracy of competing methods, while running in less time, achieving at least an order of magnitude speedup on large matrices and tensors.
Year
DOI
Venue
2019
10.1007/s10444-020-09816-9
ADVANCES IN COMPUTATIONAL MATHEMATICS
Keywords
DocType
Volume
Matrix decomposition, Tensor decomposition, Sketching
Journal
46
Issue
ISSN
Citations 
6
1019-7168
1
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Osman Asif Malik121.74
stephen becker2478.04