NDLI: Persistent Brain Network Homology From the Perspective of Dendrogram

Content Provider	IEEE Xplore Digital Library
Author	Hyekyoung Lee Hyejin Kang Chung, M.K. Bung-Nyun Kim Dong Soo Lee
Copyright Year	1982
Abstract	The brain network is usually constructed by estimating the connectivity matrix and thresholding it at an arbitrary level. The problem with this standard method is that we do not have any generally accepted criteria for determining a proper threshold. Thus, we propose a novel multiscale framework that models all brain networks generated over every possible threshold. Our approach is based on persistent homology and its various representations such as the Rips filtration, barcodes, and dendrograms. This new persistent homological framework enables us to quantify various persistent topological features at different scales in a coherent manner. The barcode is used to quantify and visualize the evolutionary changes of topological features such as the Betti numbers over different scales. By incorporating additional geometric information to the barcode, we obtain a single linkage dendrogram that shows the overall evolution of the network. The difference between the two networks is then measured by the Gromov-Hausdorff distance over the dendrograms. As an illustration, we modeled and differentiated the FDG-PET based functional brain networks of 24 attention-deficit hyperactivity disorder children, 26 autism spectrum disorder children, and 11 pediatric control subjects.
Sponsorship	IEEE Engineering in Medicine and Biology Society IEEE Nuclear and Plasma Sciences Society IEEE Signal Processing Society IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society
Page Count	11
File Size	1940495
Starting Page	2267
Ending Page	2277
File Format	PDF
ISSN	02780062
Volume Number	31
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Couplings Superluminescent diodes Measurement Brain models Correlation Visualization single linkage dendrogram Barcode functional brain network Gromov–Hausdorff distance persistent homology rips complex rips filtration
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications Radiological and Ultrasound Technology Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Persistence stability for geometric complexes

Efficient and Robust Persistent Homology for Measures

Efficient and Robust Persistent Homology for Measures

Persistent Homology in Sparse Regression and Its Application to Brain Morphometry

A Spatiotemporal Brain Network Analysis of Alzheimer’s Disease Based on Persistent Homology

Approximate Triangulations of Grassmann Manifolds

Sparse Nerves in Practice

Dynamic ECG signal quality evaluation based on persistent homology and GoogLeNet method

Linear-Size Approximations to the Vietoris–Rips Filtration

Persistent Brain Network Homology From the Perspective of Dendrogram

Similar Documents

Persistence stability for geometric complexes

Efficient and Robust Persistent Homology for Measures

Efficient and Robust Persistent Homology for Measures

Persistent Homology in Sparse Regression and Its Application to Brain Morphometry

A Spatiotemporal Brain Network Analysis of Alzheimer’s Disease Based on Persistent Homology

Approximate Triangulations of Grassmann Manifolds

Sparse Nerves in Practice

Dynamic ECG signal quality evaluation based on persistent homology and GoogLeNet method

Linear-Size Approximations to the Vietoris–Rips Filtration

Persistent Brain Network Homology From the Perspective of Dendrogram