Search Results for author: Rainer von Sachs

Found 5 papers, 3 papers with code

Lag selection and estimation of stable parameters for multiple autoregressive processes through convex programming

no code implementations3 Mar 2023 Somnath Chakraborty, Johannes Lederer, Rainer von Sachs

We prove that the estimated process is stable, and we establish rates for the forecasting error that can outmatch the known rate in our setting.

Time Series Time Series Analysis

VC-PCR: A Prediction Method based on Supervised Variable Selection and Clustering

no code implementations2 Feb 2022 Rebecca Marion, Johannes Lederer, Bernadette Govaerts, Rainer von Sachs

Sparse linear prediction methods suffer from decreased prediction accuracy when the predictor variables have cluster structure (e. g. there are highly correlated groups of variables).

Clustering regression +1

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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