Rateless Codes for Near-Perfect Load Balancing in Distributed Matrix-Vector Multiplication.

Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling nodes--computing nodes that unpredictably slow down or fail--...

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Published in:Communications of the ACM Vol. 65; no. 5; pp. 111 - 119
Main Authors: Mallick, Ankur, Chaudhari, Malhar, Sheth, Utsav, Palanikumar, Ganesh, Joshi, Gauri
Format: Article
Published: Association for Computing Machinery May2022
Subjects:
Online Access:View this record in EBSCOhost
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      dt: May2022
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        atl: Rateless Codes for Near-Perfect Load Balancing in Distributed Matrix-Vector Multiplication.
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          Mallick, Ankur
          Chaudhari, Malhar
          Sheth, Utsav
          Palanikumar, Ganesh
          Joshi, Gauri
        affil:
          Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling nodes--computing nodes that unpredictably slow down or fail--is a major bottleneck in such distributed computations. Ideal load balancing strategies that dynamically allocate more tasks to faster nodes require knowledge or monitoring of node speeds as well as the ability to quickly move data. Recently proposed fixed-rate erasure coding strategies can handle unpredictable node slowdown, but they ignore partial work done by straggling nodes, thus resulting in a lot of redundant computation. We propose a rateless fountain coding strategy that achieves the best of both worlds--we prove that its latency is asymptotically equal to ideal load balancing, and it performs asymptotically zero redundant computations. Our idea is to create linear combinations of the m rows of the matrix and assign these encoded rows to different worker nodes. The original matrix-vector product can be decoded as soon as slightly more than m rowvector products are collectively finished by the nodes. Evaluation on parallel and distributed computing yields as much as three times speedup over uncoded schemes
          Oracle Corporation, Redwood City, CA, USA
          Automation Anywhere, San Jose, CA, USA
          Apple Inc., Cupertino, CA, USA
      su:
        Load balancing (Computer networks)
        Computer programming
        Machine learning
        Data mining
      sug:
        subj:
          Load balancing (Computer networks)
          Computer programming
          Machine learning
          Data mining
      ab: Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling nodes--computing nodes that unpredictably slow down or fail--is a major bottleneck in such distributed computations. Ideal load balancing strategies that dynamically allocate more tasks to faster nodes require knowledge or monitoring of node speeds as well as the ability to quickly move data. Recently proposed fixed-rate erasure coding strategies can handle unpredictable node slowdown, but they ignore partial work done by straggling nodes, thus resulting in a lot of redundant computation. We propose a rateless fountain coding strategy that achieves the best of both worlds--we prove that its latency is asymptotically equal to ideal load balancing, and it performs asymptotically zero redundant computations. Our idea is to create linear combinations of the m rows of the matrix and assign these encoded rows to different worker nodes. The original matrix-vector product can be decoded as soon as slightly more than m rowvector products are collectively finished by the nodes. Evaluation on parallel and distributed computing yields as much as three times speedup over uncoded schemes.
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