Persistence paths and signature features in topological data analysis
We introduce a new feature map for barcodes as they arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, and to then compute its path signature which takes values in the tensor algebra of that vector space. The composition o...
Príomhchruthaitheoirí: | Chevyrev, I, Nanda, V, Oberhauser, H |
---|---|
Formáid: | Journal article |
Foilsithe / Cruthaithe: |
Institute of Electrical and Electronics Engineers
2018
|
Míreanna comhchosúla
Míreanna comhchosúla
-
Persistence paths and signature features in topological data analysis
de réir: Chevyrev, I, et al.
Foilsithe / Cruthaithe: (2018) -
Persistence paths and signature features in topological data analysis
de réir: Chevyrev, I, et al.
Foilsithe / Cruthaithe: (2018) -
Signature moments to characterize laws of stochastic processes
de réir: Chevyrev, I, et al.
Foilsithe / Cruthaithe: (2022) -
Characteristic functions of path signatures and applications
de réir: Chevyrev, I
Foilsithe / Cruthaithe: (2015) -
A topological approach to mapping space signatures
de réir: Giusti, C, et al.
Foilsithe / Cruthaithe: (2024)