IEEE Trans Pattern Anal Mach Intell - Spatial and Anatomical Regularization of SVM: A General Framework for Neuroimaging Data.

Tópicos

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Resumo

This paper presents a framework to introduce spatial and anatomical priors in SVM for brain image analysis based on regularization operators. A notion of proximity based on prior anatomical knowledge between the image points is defined by a graph (e.g., brain connectivity graph) or a metric (e.g., Fisher metric on statistical manifolds). A regularization operator is then defined from the graph Laplacian, in the discrete case, or from the Laplace-Beltrami operator, in the continuous case. The regularization operator is then introduced into the SVM, which exponentially penalizes high-frequency components with respect to the graph or to the metric and thus constrains the classification function to be smooth with respect to the prior. It yields a new SVM optimization problem whose kernel is a heat kernel on graphs or on manifolds. We then present different types of priors and provide efficient computations of the Gram matrix. The proposed framework is finally applied to the classification of brain Magnetic Resonance (MR) images (based on Gray Matter (GM) concentration maps and cortical thickness measures) from 137 patients with Alzheimer's Disease (AD) and 162 elderly controls. The results demonstrate that the proposed classifier generates less-noisy and consequently more interpretable feature maps with high classification performances.

Resumo Limpo

paper present framework introduc spatial anatom prior svm brain imag analysi base regular oper notion proxim base prior anatom knowledg imag point defin graph eg brain connect graph metric eg fisher metric statist manifold regular oper defin graph laplacian discret case laplacebeltrami oper continu case regular oper introduc svm exponenti penal highfrequ compon respect graph metric thus constrain classif function smooth respect prior yield new svm optim problem whose kernel heat kernel graph manifold present differ type prior provid effici comput gram matrix propos framework final appli classif brain magnet reson mr imag base gray matter gm concentr map cortic thick measur patient alzheim diseas ad elder control result demonstr propos classifi generat lessnoisi consequ interpret featur map high classif perform

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