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Found 5 papers, 1 papers with code
Ridge Estimation with Nonlinear Transformations
The main result proves the inclusion relationship between ridges: $\cR(f\circ p)\subseteq \cR(p)$, provided that the transformation $f$ is strictly increasing and concave on the range of the function $p$.
Manifold Fitting in Ambient Space
Inspired by the relation between the eigenvalues of the Laplace-Beltrami operator and the geometry of a manifold, we aim to find a small set of points that preserve the geometry of the underlying manifold.
Manifold Fitting under Unbounded Noise
Numerical simulations are provided to validate our theoretical findings and demonstrate the advantages of our method over other relevant manifold fitting methods.
Principal Boundary on Riemannian Manifolds
We consider the classification problem and focus on nonlinear methods for classification on manifolds.
Optimal classification in sparse Gaussian graphic model
We propose a two-stage classification method where we first select features by the method of Innovated Thresholding (IT), and then use the retained features and Fisher's LDA for classification.
