Title
APPROXIMATE WEIGHTED CR CODED MATRIX MULTIPLICATION
Abstract
One of the most common operations in signal processing is matrix multiplication. However, it presents a major computational bottleneck when the matrix dimension is high, as can occur for large data size or feature dimension. Two different approaches to overcoming this bottleneck are: 1) low rank approximation of the matrix product; and 2) distributed computation. We propose a scheme that combines these two approaches. To enable distributed low rank approximation, we generalize the approximate matrix CR-multiplication to accommodate weighted block sampling, and we introduce a weighted coded matrix multiplication method. This results in novel approximate weighted CR coded matrix multiplication schemes, which achieve improved performance for distributed matrix multiplication and are robust to stragglers.
Year
DOI
Venue
2021
10.1109/ICASSP39728.2021.9413800
2021 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP 2021)
Keywords
DocType
Citations 
Randomized numerical linear algebra, approximation algorithms, coded computing, coding theory
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Neophytos Charalambides100.34
Mert Pilanci29517.13
Alfred O. Hero III32600301.12