Path representations in multiparameter persistent homology
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909714156093440 |
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| author | Sun, Xudong Corbet, René Marr, Carsten |
| author_facet | Sun, Xudong Corbet, René Marr, Carsten |
| contents | Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance investigates the distance along a straight line in the multiparameter space that gives the biggest difference. We propose to generalize the straight line to a monotone path filtration and offer software implementations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Path representations in multiparameter persistent homology Sun, Xudong Corbet, René Marr, Carsten Algebraic Topology Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance investigates the distance along a straight line in the multiparameter space that gives the biggest difference. We propose to generalize the straight line to a monotone path filtration and offer software implementations. |
| title | Path representations in multiparameter persistent homology |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2507.23762 |