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arXiv · 1811.07325

Stark: Fast and Scalable Strassen's Matrix Multiplication using Apache Spark

Chandan Misra·Sourangshu Bhattacharya·Soumya K. Ghosh
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Abstract

This paper presents a new fast, highly scalable distributed matrix multiplication algorithm on Apache Spark, called Stark, based on Strassen's matrix multiplication algorithm. Stark preserves Strassen's 7 multiplications scheme in a distributed environment and thus achieves faster execution. It is based on two new ideas; it creates a recursion tree of computation where each level of such tree corresponds to division and combination of distributed matrix blocks in the form of Resilient Distributed Datasets(RDDs); It processes each divide and combine step in parallel and memorize the sub-matrices by intelligently tagging matrix blocks in it. To the best of our knowledge, Stark is the first Strassen's implementation in Spark platform. We show experimentally that Stark has a strong scalability with increasing matrix size enabling us to multiply two (16384 x 16384) matrices with 28% and 36% less wall clock time than Marlin and MLLib respectively, state-of-the-art matrix multiplication approaches based on Spark.

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Chandan Misra, Sourangshu Bhattacharya, Soumya K. Ghosh. 2018-11-18. Stark: Fast and Scalable Strassen's Matrix Multiplication using Apache Spark. https://arxiv.org/abs/1811.07325

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