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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 ...
A Universality Property for Last-Passage Percolation Paths Close to the Axis
Last-passage percolation universality Brownian directed percolation
2009/4/24
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the or...
A Universality Property for Last-Passage Percolation Paths Close to the Axis
Universality Property Percolation the Axis
2009/4/7
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the or...
Universality results for largest eigenvalues of some sample covariance matrix ensembles
Universality results largest eigenvalues sample covariance matrix ensembles
2010/4/29
For sample covariance matrices with iid entries with sub-Gaussian
tails, when both the number of samples and the number of variables
become large and the ratio approaches to one, it is a well-known ...