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» Alternating Projections on Manifolds
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TSMC
2010
13 years 4 months 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
ICIP
2007
IEEE
14 years 4 months ago
Multiscale Random Projections for Compressive Classification
We propose a framework for exploiting dimension-reducing random projections in detection and classification problems. Our approach is based on the generalized likelihood ratio te...
Marco F. Duarte, Mark A. Davenport, Michael B. Wak...
SAC
2010
ACM
13 years 8 months ago
Optimal linear projections for enhancing desired data statistics
Problems involving high-dimensional data, such as pattern recognition, image analysis, and gene clustering, often require a preliminary step of dimension reduction before or durin...
Evgenia Rubinshtein, Anuj Srivastava
COMPGEOM
2010
ACM
14 years 1 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
CDC
2010
IEEE
139views Control Systems» more  CDC 2010»
13 years 4 months ago
Optimal control on non-compact lie groups: A projection operator approach
Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanic...
Alessandro Saccon, John Hauser, A. Pedro Aguiar