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» A Tensor Approximation Approach to Dimensionality Reduction
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TMI
2011
127views more  TMI 2011»
13 years 2 months ago
Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach
Abstract—Many practical applications require the reconstruction of images from irregularly sampled data. The spline formalism offers an attractive framework for solving this prob...
Oleksii Vyacheslav Morozov, Michael Unser, Patrick...
CVPR
2005
IEEE
14 years 9 months ago
Discriminant Analysis with Tensor Representation
In this paper, we present a novel approach to solving the supervised dimensionality reduction problem by encoding an image object as a general tensor of 2nd or higher order. First...
Shuicheng Yan, Dong Xu, Qiang Yang, Lei Zhang, Xia...
SLSFS
2005
Springer
14 years 26 days ago
Auxiliary Variational Information Maximization for Dimensionality Reduction
Abstract. Mutual Information (MI) is a long studied measure of information content, and many attempts to apply it to feature extraction and stochastic coding have been made. Howeve...
Felix V. Agakov, David Barber
IVC
2006
82views more  IVC 2006»
13 years 7 months ago
Nonlinear optimisation method for image segmentation and noise reduction using geometrical intrinsic properties
This paper considers the optimisation of a nonlinear functional for image segmentation and noise reduction. Equations optimising this functional are derived and employed to detect...
Sasan Mahmoodi, Bayan S. Sharif
NIPS
2008
13 years 8 months ago
Supervised Exponential Family Principal Component Analysis via Convex Optimization
Recently, supervised dimensionality reduction has been gaining attention, owing to the realization that data labels are often available and indicate important underlying structure...
Yuhong Guo