パーシステントホモロジーのoptimal volumeとstable volumeについて (一般位相幾何学の動向と諸分野との連携)

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  • Obayashi, Ippei
    Cyber-Physical Engineering Informatics Research Core，Okayama University

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Abstract

This paper reviews an optimal volume[lppei Obayashi. Volume-optimal cycle: Tightest representative cycle of a generator in persistent homology. SIAM Journal on Applied Algebra and Geometry, 2(4):508-534, 2018.] and a stable volume[Ippei Obayashi. Stable volumes for persistent homology. arXiv:2109.11711], which are helpful for data analysis using persistent homology. The purpose of this paper is to explain an optimal volume and a stable volume to PH users who are not familiar with mathematical theory of homology, persistent homology, and computational geometry.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2209 41-53, 2022-01

    京都大学数理解析研究所

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Details 詳細情報について

  • CRID
    1050291768276915968
  • NII Book ID
    AN00061013
  • HANDLE
    2433/268822
  • ISSN
    18802818
  • Text Lang
    ja
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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