Kernel-based manifold learning for statistical analysis of diffusion tensor images

Parmeshwar Khurd, Ragini Verma, Christos Davatzikos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Diffusion tensor imaging (DTI) is an important modality to study white matter structure in brain images and voxel-based group-wise statistical analysis of DTI is an integral component in most biomedical applications of DTI. Voxel-based DTI analysis should ideally satisfy two desiderata: (1) it should obtain a good characterization of the statistical distribution of the tensors under consideration at a given voxel, which typically lie on a non-linear submanifold of R6, and (2) it should find an optimal way to identify statistical differences between two groups of tensor measurements, e.g., as in comparative studies between normal and diseased populations. In this paper, extending previous work on the application of manifold learning techniques to DTI, we shall present a kernel-based approach to voxel-wise statistical analysis of DTI data that satisfies both these desiderata. Using both simulated and real data, we shall show that kernel principal component analysis (kPCA) can effectively learn the probability density of the tensors under consideration and that kernel Fisher discriminant analysis (kFDA) can find good features that can optimally discriminate between groups. We shall also present results from an application of kFDA to a DTI dataset obtained as part of a clinical study of schizophrenia.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages581-593
Number of pages13
Volume4584 LNCS
StatePublished - 2007
Externally publishedYes
Event20th International Conference on Information Processing in Medical lmaging, IPMI 2007 - Kerkrade, Netherlands
Duration: Jul 2 2007Jul 6 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4584 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other20th International Conference on Information Processing in Medical lmaging, IPMI 2007
CountryNetherlands
CityKerkrade
Period7/2/077/6/07

Fingerprint

Diffusion tensor imaging
Manifold Learning
Diffusion Tensor Imaging
Statistical Analysis
Tensors
Statistical methods
Tensor
Learning
kernel
Imaging
Voxel
Discriminant Analysis
Discriminant analysis
Fisher Discriminant Analysis
Statistical Distributions
Principal Component Analysis
Principal component analysis
Kernel Principal Component Analysis
Biomedical Applications
Brain

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Khurd, P., Verma, R., & Davatzikos, C. (2007). Kernel-based manifold learning for statistical analysis of diffusion tensor images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4584 LNCS, pp. 581-593). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS).

Kernel-based manifold learning for statistical analysis of diffusion tensor images. / Khurd, Parmeshwar; Verma, Ragini; Davatzikos, Christos.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4584 LNCS 2007. p. 581-593 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khurd, P, Verma, R & Davatzikos, C 2007, Kernel-based manifold learning for statistical analysis of diffusion tensor images. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 4584 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4584 LNCS, pp. 581-593, 20th International Conference on Information Processing in Medical lmaging, IPMI 2007, Kerkrade, Netherlands, 7/2/07.
Khurd P, Verma R, Davatzikos C. Kernel-based manifold learning for statistical analysis of diffusion tensor images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4584 LNCS. 2007. p. 581-593. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Khurd, Parmeshwar ; Verma, Ragini ; Davatzikos, Christos. / Kernel-based manifold learning for statistical analysis of diffusion tensor images. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4584 LNCS 2007. pp. 581-593 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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