Classification of Alzheimer's disease using unsupervised diffusion component analysis

The goal of this study is automated discrimination between early stage Alzheimer$'$s disease (AD) magnetic resonance imaging (MRI) and healthy MRI data. Unsupervised Diffusion Component Analysis, a novel approach based on the diffusion mapping framework, reduces data dimensionality and provides...

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Main Authors: Dominique Duncan, Thomas Strohmer
Format: Article
Language:English
Published: AIMS Press 2016-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2016033
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author Dominique Duncan
Thomas Strohmer
author_facet Dominique Duncan
Thomas Strohmer
author_sort Dominique Duncan
collection DOAJ
description The goal of this study is automated discrimination between early stage Alzheimer$'$s disease (AD) magnetic resonance imaging (MRI) and healthy MRI data. Unsupervised Diffusion Component Analysis, a novel approach based on the diffusion mapping framework, reduces data dimensionality and provides pattern recognition that can be used to distinguish AD brains from healthy brains. The new algorithm constructs coordinates as an extension of diffusion maps and generates efficient geometric representations of the complex structure of the MRI data. The key difference between our method and others used to classify and detect AD early in its course is our nonlinear and local network approach, which overcomes calibration differences among different scanners and centers collecting MRI data and solves the problem of individual variation in brain size and shape. In addition, our algorithm is completely automatic and unsupervised, which could potentially be a useful and practical tool for doctors to help identify AD patients.
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spelling doaj-art-baf311b5c4384669ae09dbfe03503bb82025-01-24T02:37:49ZengAIMS PressMathematical Biosciences and Engineering1551-00182016-07-011361119113010.3934/mbe.2016033Classification of Alzheimer's disease using unsupervised diffusion component analysisDominique Duncan0Thomas Strohmer1Laboratory of Neuro Imaging, USC Stevens Neuroimaging and Informatics Institute, Keck School of Medicine of USC, University of Southern CaliforniaDepartment of Mathematics, University of California, DavisThe goal of this study is automated discrimination between early stage Alzheimer$'$s disease (AD) magnetic resonance imaging (MRI) and healthy MRI data. Unsupervised Diffusion Component Analysis, a novel approach based on the diffusion mapping framework, reduces data dimensionality and provides pattern recognition that can be used to distinguish AD brains from healthy brains. The new algorithm constructs coordinates as an extension of diffusion maps and generates efficient geometric representations of the complex structure of the MRI data. The key difference between our method and others used to classify and detect AD early in its course is our nonlinear and local network approach, which overcomes calibration differences among different scanners and centers collecting MRI data and solves the problem of individual variation in brain size and shape. In addition, our algorithm is completely automatic and unsupervised, which could potentially be a useful and practical tool for doctors to help identify AD patients.https://www.aimspress.com/article/doi/10.3934/mbe.2016033manifold learningkernel methods.diffusion mapsmrialzheimer's disease
spellingShingle Dominique Duncan
Thomas Strohmer
Classification of Alzheimer's disease using unsupervised diffusion component analysis
Mathematical Biosciences and Engineering
manifold learning
kernel methods.
diffusion maps
mri
alzheimer's disease
title Classification of Alzheimer's disease using unsupervised diffusion component analysis
title_full Classification of Alzheimer's disease using unsupervised diffusion component analysis
title_fullStr Classification of Alzheimer's disease using unsupervised diffusion component analysis
title_full_unstemmed Classification of Alzheimer's disease using unsupervised diffusion component analysis
title_short Classification of Alzheimer's disease using unsupervised diffusion component analysis
title_sort classification of alzheimer s disease using unsupervised diffusion component analysis
topic manifold learning
kernel methods.
diffusion maps
mri
alzheimer's disease
url https://www.aimspress.com/article/doi/10.3934/mbe.2016033
work_keys_str_mv AT dominiqueduncan classificationofalzheimersdiseaseusingunsuperviseddiffusioncomponentanalysis
AT thomasstrohmer classificationofalzheimersdiseaseusingunsuperviseddiffusioncomponentanalysis