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A T ] 2 8 M ay 2 01 8 The reflection distance between zigzag persistence modules
| Content Provider | Semantic Scholar |
|---|---|
| Author | Elchesen, Alexander Mémoli, Facundo |
| Copyright Year | 2018 |
| Abstract | By invoking the reflection functors introduced by Bernstein, Gelfand, and Ponomarev in 1973, in this paper we define a metric on the space of all zigzag modules of a given length, which we call the reflection distance. We show that the reflection distance between two given zigzag modules of the same length is an upper bound for the l -bottleneck distance between their respective persistence diagrams. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1805.11190 |
| Alternate Webpage(s) | http://arxiv-export-lb.library.cornell.edu/pdf/1805.11190 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
