Advanced computing and optimization infrastructure for extremely large-scale graphs on post peta-scale supercomputers

Katsuki Fujisawa, Toshio Endo, Yuichiro Yasui

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Citations (Scopus)

    Abstract

    In this talk, we present our ongoing research project. The objective of this project is to develop advanced computing and optimization infrastructures for extremely large-scale graphs on post petascale supercomputers. We explain our challenge to Graph 500 and Green Graph 500 benchmarks that are designed to measure the performance of a computer system for applications that require irregular memory and network access patterns. The 1st Graph500 list was released in November 2010. The Graph500 benchmark measures the performance of any supercomputer performing a BFS (Breadth-First Search) in terms of traversed edges per second (TEPS). In 2014 and 2015, our project team was a winner of the 8th, 10th, and 11th Graph500 and the 3rd to 6th Green Graph500 benchmarks, respectively. We also present our parallel implementation for large-scale SDP (SemiDefinite Programming) problem. The semidefinite programming (SDP) problem is a predominant problem in mathematical optimization. The primal-dual interior-point method (PDIPM) is one of the most powerful algorithms for solving SDP problems, and many research groups have employed it for developing software packages. We solved the largest SDP problem (which has over 2.33 million constraints), thereby creating a new world record. Our implementation also achieved 1.774 PFlops in double precision for largescale Cholesky factorization using 2,720 CPUs and 4,080 GPUs on the TSUBAME 2.5 supercomputer.

    Original languageEnglish
    Title of host publicationMathematical Software - 5th International Conference, ICMS 2016, Proceedings
    EditorsGert-Martin Greuel, Andrew Sommese, Thorsten Koch, Peter Paule
    PublisherSpringer Verlag
    Pages265-274
    Number of pages10
    ISBN (Print)9783319424316
    DOIs
    Publication statusPublished - Jan 1 2016
    Event5th International Conference on Mathematical Software, ICMS 2016 - Berlin, Germany
    Duration: Jul 11 2016Jul 14 2016

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume9725
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other5th International Conference on Mathematical Software, ICMS 2016
    CountryGermany
    CityBerlin
    Period7/11/167/14/16

    All Science Journal Classification (ASJC) codes

    • Theoretical Computer Science
    • Computer Science(all)

    Fingerprint Dive into the research topics of 'Advanced computing and optimization infrastructure for extremely large-scale graphs on post peta-scale supercomputers'. Together they form a unique fingerprint.

  • Cite this

    Fujisawa, K., Endo, T., & Yasui, Y. (2016). Advanced computing and optimization infrastructure for extremely large-scale graphs on post peta-scale supercomputers. In G-M. Greuel, A. Sommese, T. Koch, & P. Paule (Eds.), Mathematical Software - 5th International Conference, ICMS 2016, Proceedings (pp. 265-274). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9725). Springer Verlag. https://doi.org/10.1007/978-3-319-42432-3_33