Abstract
Alzheimer’s disease is a debilitating disease in the elderly, and is an increasing burden to the society due to an aging population. In this paper, we apply topological data analysis to structural MRI scans of the brain, and show that topological invariants make accurate predictors for Alzheimer’s. Using the construct of Betti Curves, we first show that topology is a good predictor of Age. Then we develop an approach to factor out the topological signature of age from Betti curves, and thus obtain accurate detection of Alzheimer’s disease. Experimental results show that topological features used with standard classifiers perform comparably to recently developed convolutional neural networks. These results imply that topology is a major aspect of structural changes due to aging and Alzheimer’s. We expect this relation will generate further insights for both early detection and better understanding of the disease.
Original language | English |
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Title of host publication | IMIMIC 2021, TDA4MedicalData 2021: Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data |
Publisher | Springer |
Pages | 119-128 |
Number of pages | 10 |
ISBN (Electronic) | 978-3-030-87444-5 |
ISBN (Print) | 978-3-030-87443-8 |
DOIs | |
Publication status | Published - 21 Sept 2021 |
Event | 1st International Workshop on Topological Data Analysis and its Applications for Medical Data - Strasbourg, France Duration: 27 Sept 2021 → 27 Sept 2021 https://sites.google.com/view/tda-for-medical-data/home |
Publication series
Name | Lecture Notes in Computer Science |
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Volume | 12929 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Workshop
Workshop | 1st International Workshop on Topological Data Analysis and its Applications for Medical Data |
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Abbreviated title | TDA4MedicalData 2021 |
Country/Territory | France |
City | Strasbourg |
Period | 27/09/21 → 27/09/21 |
Internet address |
Keywords / Materials (for Non-textual outputs)
- Topological data analysis
- Alzheimer’s disease
- MRI