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Persistent Homology Approximations on Network Distances

Abstract: 

This paper presents methods to compare high order networks using persistent homology. High order networks induce well-founded homolog- ical features and the difference between networks is measured by the difference between the homological features. This is a reasonable approximation to a valid metric in the space of high order networks modulo permutation isomorphisms. The approximations succeed in discriminating engineering research communities from mathematics communities.

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1 user has voted: Weiyu Huang

Paper Details

Authors:
Alejandro Ribeiro
Submitted On:
23 February 2016 - 1:44pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Weiyu Huang
Document Year:
2015
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persistent_homology_approximation.pdf

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[1] Alejandro Ribeiro, "Persistent Homology Approximations on Network Distances", IEEE SigPort, 2015. [Online]. Available: http://sigport.org/381. Accessed: Aug. 19, 2018.
@article{381-15,
url = {http://sigport.org/381},
author = {Alejandro Ribeiro },
publisher = {IEEE SigPort},
title = {Persistent Homology Approximations on Network Distances},
year = {2015} }
TY - EJOUR
T1 - Persistent Homology Approximations on Network Distances
AU - Alejandro Ribeiro
PY - 2015
PB - IEEE SigPort
UR - http://sigport.org/381
ER -
Alejandro Ribeiro. (2015). Persistent Homology Approximations on Network Distances. IEEE SigPort. http://sigport.org/381
Alejandro Ribeiro, 2015. Persistent Homology Approximations on Network Distances. Available at: http://sigport.org/381.
Alejandro Ribeiro. (2015). "Persistent Homology Approximations on Network Distances." Web.
1. Alejandro Ribeiro. Persistent Homology Approximations on Network Distances [Internet]. IEEE SigPort; 2015. Available from : http://sigport.org/381