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TSMC
2010
13 years 10 hour ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
NIPS
2008
13 years 6 months ago
Non-parametric Regression Between Manifolds
This paper discusses non-parametric regression between Riemannian manifolds. This learning problem arises frequently in many application areas ranging from signal processing, comp...
Florian Steinke, Matthias Hein
ICML
2004
IEEE
14 years 6 months ago
Hyperplane margin classifiers on the multinomial manifold
The assumptions behind linear classifiers for categorical data are examined and reformulated in the context of the multinomial manifold, the simplex of multinomial models furnishe...
Guy Lebanon, John D. Lafferty
TKDE
2011
479views more  TKDE 2011»
13 years 7 days 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
CVIU
2011
12 years 8 months ago
Graph attribute embedding via Riemannian submersion learning
In this paper, we tackle the problem of embedding a set of relational structures into a metric space for purposes of matching and categorisation. To this end, we view the problem ...
Haifeng Zhao, Antonio Robles-Kelly, Jun Zhou, Jian...