Interactions between kernels, frames, and persistent homology

Publikationstyp
Book part
Date Issued
2017
Sprache
English
Author(s)
Guillemard, Mijail  
Iske, Armin  
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/4826
Start Page
861
End Page
888
Citation
Applied and Numerical Harmonic Analysis (2): 861-888 (2017)
Publisher DOI
10.1007/978-3-319-55556-0_14
Scopus ID
2-s2.0-85041401099
Publisher
Springer
This contribution discusses interactions between kernel methods, frame analysis, and persistent homology. To this end, we explain recent connections between these research areas, where special emphasis is placed on the discussion of reproducing kernel Hilbert spaces and persistent mechanisms. We show how interactions between these novel methodologies give new opportunities for the construction of numerical algorithms to analyze properties of data that are so far unexplored.
DDC Class
510: Mathematik