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Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian
Embedding Riemannian Manifolds Heat Kernel Connection Laplacian
2013/6/17
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into $\ell^2$ based on the heat kernel of the Connection Laplacian associa...
Universality,Characteristic Kernels and RKHS Embedding of Measures
Kernel methods Characteristic kernels Hilbert space embeddings Universalkernels Translation invariant kernels Radial kernels
2010/3/11
A Hilbert space embedding for probability measures has recently been proposed, wherein
any probability measure is represented as a mean element in a reproducing kernel Hilbert
space (RKHS). Such an ...
The Skorokhod embedding problem and its offspring
Skorokhod embedding problem Chacon-Walsh embedding Azéma-Yor embedding Root embedding stopping times
2009/5/18
This is a survey about the Skorokhod embedding problem. It presents all known solutions together with their properties and some applications. Some of the solutions are just described, while others are...
Metric Embedding for Nearest Neighbor Classification
Metric Embedding Nearest Neighbor Classification
2010/4/29
The distance metric plays an important role in nearest neighbor (NN) classification. Usually
the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized
to improve the NN ...