Paper ID | SPTM-6.1 |
Paper Title |
APPROXIMATE WEIGHTED CR CODED MATRIX MULTIPLICATION |
Authors |
Neophytos Charalambides, University of Michigan, United States; Mert Pilanci, Stanford University, United States; Alfred Hero, University of Michigan, United States |
Session | SPTM-6: Sampling, Multirate Signal Processing and Digital Signal Processing 2 |
Location | Gather.Town |
Session Time: | Tuesday, 08 June, 16:30 - 17:15 |
Presentation Time: | Tuesday, 08 June, 16:30 - 17:15 |
Presentation |
Poster
|
Topic |
Signal Processing Theory and Methods: [SMDSP] Sampling, Multirate Signal Processing and Digital Signal Processing |
IEEE Xplore Open Preview |
Click here to view in IEEE Xplore |
Virtual Presentation |
Click here to watch in the Virtual Conference |
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. |