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» A Riemannian Framework for Tensor Computing
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SIAMMAX
2011
141views more  SIAMMAX 2011»
12 years 11 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...
TKDE
2011
479views more  TKDE 2011»
13 years 3 months ago
Learning Semi-Riemannian Metrics for Semisupervised Feature Extraction
—Discriminant feature extraction plays a central role in pattern recognition and classification. Linear Discriminant Analysis (LDA) is a traditional algorithm for supervised feat...
Wei Zhang, Zhouchen Lin, Xiaoou Tang
CAIP
2009
Springer
102views Image Analysis» more  CAIP 2009»
14 years 17 days ago
A Riemannian Scalar Measure for Diffusion Tensor Images
Abstract. We study a well-known scalar quantity in differential geometry, the Ricci scalar, in the context of Diffusion Tensor Imaging (DTI). We explore the relation between the Ri...
Andrea Fuster, Laura Astola, Luc Florack
MICCAI
2009
Springer
14 years 5 months ago
Multivariate Tensor-Based Brain Anatomical Surface Morphometry via Holomorphic One-Forms
Abstract. Here we introduce multivariate tensor-based surface morphometry using holomorphic one-forms to study brain anatomy. We computed new statistics from the Riemannian metric ...
Yalin Wang, Tony F. Chan, Arthur W. Toga, Paul M. ...
TMI
2008
73views more  TMI 2008»
13 years 8 months ago
Tensor-Based Cortical Surface Morphometry via Weighted Spherical Harmonic Representation
Abstract--We present a new tensor-based morphometric framework that quantifies cortical shape variations using a local area element. The local area element is computed from the Rie...
Moo K. Chung, Kim M. Dalton, Richard J. Davidson