説明
Persistence diagrams have been widely recognized as a compact descriptor for characterizing multiscale topological features in data. When many datasets are available, statistical features embedded in those persistence diagrams can be extracted by applying machine learnings. In particular, the ability for explicitly analyzing the inverse in the original data space from those statistical features of persistence diagrams is significantly important for practical applications. In this paper, we propose a unified method for the inverse analysis by combining linear machine learning models with persistence images. The method is applied to point clouds and cubical sets, showing the ability of the statistical inverse analysis and its advantages.
収録刊行物
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- Journal of Applied and Computational Topology
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Journal of Applied and Computational Topology 1 (3-4), 421-449, 2018-05-05
Springer Science and Business Media LLC
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詳細情報 詳細情報について
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- CRID
- 1360285706579450240
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- ISSN
- 23671734
- 23671726
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE