Manifold Learning for Biomarker Discovery in MR Imaging

We propose a framework for the extraction of biomarkers from low-dimensional manifolds representing inter- and intra-subject brain variation in MR image data. The coordinates of each image in such a low-dimensional space captures information about structural shape and appearance and, when a phenotype exists, about the subject's clinical state. A key contribution is that we propose a method for incorporating longitudinal image information in the learned manifold. In particular, we compare simultaneously embedding baseline and follow-up scans into a single manifold with the combination of separate manifold representations for inter-subject and intra-subject variation. We apply the proposed methods to 362 subjects enrolled in the Alzheimer's Disease Neuroimaging Initiative (ADNI) and classify healthy controls, subjects with Alzheimer's disease (AD) and subjects with mild cognitive impairment (MCI). Learning manifolds based on both the appearance and temporal change of the hippocampus, leads to correct classification rates comparable with those provided by state-of-the-art automatic segmentation estimates of hippocampal volume and atrophy. The biomarkers identified with the proposed method are data-driven and represent a potential alternative to a-priori defined biomarkers derived from manual or automated segmentations.

[1]  Ross T. Whitaker,et al.  On the Manifold Structure of the Space of Brain Images , 2009, MICCAI.

[2]  Hwann-Tzong Chen,et al.  Local discriminant embedding and its variants , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[3]  Yi-Ping Hung,et al.  Analyzing Facial Expression by Fusing Manifolds , 2007, ACCV.

[4]  Alexander Hammers,et al.  Automatic segmentation of the hippocampus and the amygdala driven by hybrid constraints: Method and validation , 2009, NeuroImage.

[5]  Joshua B. Tenenbaum,et al.  Separating Style and Content with Bilinear Models , 2000, Neural Computation.

[6]  Christopher J. C. Burges,et al.  A Tutorial on Support Vector Machines for Pattern Recognition , 1998, Data Mining and Knowledge Discovery.

[7]  Daniel Rueckert,et al.  LEAP: Learning embeddings for atlas propagation , 2010, NeuroImage.

[8]  Mikhail Belkin,et al.  Laplacian Eigenmaps for Dimensionality Reduction and Data Representation , 2003, Neural Computation.

[9]  Nick C. Fox,et al.  The boundary shift integral: an accurate and robust measure of cerebral volume changes from registered repeat MRI , 1997, IEEE Transactions on Medical Imaging.

[10]  Christos Davatzikos,et al.  Efficient Large Deformation Registration via Geodesics on a Learned Manifold of Images , 2009, MICCAI.

[11]  Yasushi Yagi Computer Vision - ACCV 2007, 8th Asian Conference on Computer Vision, Tokyo, Japan, November 18-22, 2007, Proceedings, Part I , 2007, ACCV.

[12]  Daniel Rueckert,et al.  Nonrigid registration using free-form deformations: application to breast MR images , 1999, IEEE Transactions on Medical Imaging.

[13]  Christopher J. Taylor,et al.  Medical Image Computing and Computer-Assisted Intervention – MICCAI 2009 , 2009, Lecture Notes in Computer Science.

[14]  Jyrki Lötjönen,et al.  Measurement of hippocampal atrophy using 4D graph-cut segmentation: Application to ADNI , 2010, NeuroImage.

[15]  Deli Zhao,et al.  Linear Laplacian Discrimination for Feature Extraction , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[16]  Marie Chupin,et al.  Multidimensional classification of hippocampal shape features discriminates Alzheimer's disease and mild cognitive impairment from normal aging , 2009, NeuroImage.

[17]  et al.,et al.  Spatial patterns of brain atrophy in MCI patients, identified via high-dimensional pattern classification, predict subsequent cognitive decline , 2008, NeuroImage.

[18]  Yuxiao Hu,et al.  Face recognition using Laplacianfaces , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.