arXiv
Open Access
2011
Baby Morse Theory in Data Analysis
Caren Marzban
Ulvi Yurtsever
Abstrak
A methodology is proposed for inferring the topology underlying point cloud data. The approach employs basic elements of Morse Theory, and is capable of producing not only a point estimate of various topological quantities (e.g., genus), but it can also assess their sampling uncertainty in a probabilistic fashion. Several examples of point cloud data in three dimensions are utilized to demonstrate how the method yields interval estimates for the topology of the data as a 2-dimensional surface embedded in R^3.
Topik & Kata Kunci
Penulis (2)
C
Caren Marzban
U
Ulvi Yurtsever
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2011
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- arXiv
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- Open Access ✓