Search Results for author: Joris Chau

Found 3 papers, 3 papers with code

Intrinsic wavelet regression for surfaces of Hermitian positive definite matrices

1 code implementation27 Aug 2018 Joris Chau, Rainer von Sachs

Second, we derive the wavelet coefficient decay and linear wavelet thresholding convergence rates of intrinsically smooth surfaces of Hermitian positive definite matrices, and investigate practical nonlinear thresholding of wavelet coefficients based on their trace in the context of intrinsic signal plus noise models in the Riemannian manifold.

Methodology 62M15, 62G08

Intrinsic data depth for Hermitian positive definite matrices

1 code implementation26 Jun 2017 Joris Chau, Hernando Ombao, Rainer von Sachs

Nondegenerate covariance, correlation and spectral density matrices are necessarily symmetric or Hermitian and positive definite.

Methodology 62G30, 62G15, 62G35, 62M15

Intrinsic wavelet regression for curves of Hermitian positive definite matrices

1 code implementation12 Jan 2017 Joris Chau, Rainer von Sachs

Our main contribution is the development of intrinsic wavelet transforms and nonparametric wavelet regression for curves in the non-Euclidean space of Hermitian positive definite matrices.

Methodology 62M15, 62G08

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