Distributed Matrix-Vector Multiplication: A Convolutional Coding Approach

Anindya Bijoy Das; Aditya Ramamoorthy

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arXiv · 1901.08716

Distributed Matrix-Vector Multiplication: A Convolutional Coding Approach

Anindya Bijoy Das·Aditya Ramamoorthy

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Abstract

Distributed computing systems are well-known to suffer from the problem of slow or failed nodes; these are referred to as stragglers. Straggler mitigation (for distributed matrix computations) has recently been investigated from the standpoint of erasure coding in several works. In this work we present a strategy for distributed matrix-vector multiplication based on convolutional coding. Our scheme can be decoded using a low-complexity peeling decoder. The recovery process enjoys excellent numerical stability as compared to Reed-Solomon coding based approaches (which exhibit significant problems owing their badly conditioned decoding matrices). Finally, our schemes are better matched to the practically important case of sparse matrix-vector multiplication as compared to many previous schemes. Extensive simulation results corroborate our findings.

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BibTeX RIS

Anindya Bijoy Das, Aditya Ramamoorthy. 2019-01-25. Distributed Matrix-Vector Multiplication: A Convolutional Coding Approach. https://arxiv.org/abs/1901.08716

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