Title
Anatomical regularization on statistical manifolds for the classification of patients with Alzheimer's disease
Abstract
This paper introduces a continuous framework to spatially regularize support vector machines (SVM) for brain image analysis based on the Fisher metric. We show that, by considering the images as elements of a statistical manifold, one can define a metric that integrates various types of information. Based on this metric, replacing the standard SVM regularization with a Laplace-Beltrami regularization operator allows integrating to the classifier various types of constraints based on spatial and anatomical information. The proposed framework is applied to the classification of magnetic resonance (MR) images based on gray matter concentration maps from 137 patients with Alzheimer's disease and 162 elderly controls. The results demonstrate that the proposed classifier generates less-noisy and consequently more interpretable feature maps with no loss of classification performance.
Year
DOI
Venue
2011
10.1007/978-3-642-24319-6_25
MLMI
Keywords
Field
DocType
statistical manifold,proposed framework,various type,standard svm regularization,anatomical regularization,continuous framework,brain image analysis,anatomical information,proposed classifier,laplace-beltrami regularization operator,classifier various type,classification performance
Computer vision,Pattern recognition,Computer science,Support vector machine,Regularization (mathematics),Operator (computer programming),Artificial intelligence,Classifier (linguistics),Statistical manifold,Manifold,Machine learning
Conference
Volume
ISSN
Citations 
7009
0302-9743
1
PageRank 
References 
Authors
0.36
11
5
Name
Order
Citations
PageRank
Rémi Cuingnet141519.36
Joan Alexis Glaunès2584.01
Marie Chupin340222.10
Habib Benali483768.94
Olivier Colliot574349.59