SpatialBSS-package {SpatialBSS}R Documentation

Blind Source Separation for Multivariate Spatial Data

Description

Blind source separation for multivariate spatial data based on simultaneous/joint diagonalization of local covariance matrices. This package is an implementation of the methods described in Nordhausen, Oja, Filzmoser and Reimann (2015) <doi:10.1007/s11004-014-9559-5>, Bachoc, Genton, Nordhausen, Ruiz-Gazen and Virta (2020) <doi:10.1093/biomet/asz079> and Muehlmann, Bachoc and Nordhausen (2022) <doi:10.1016/j.spasta.2021.100574> as well as some related methods.

Details

Package: SpatialBSS
Type: Package
Version: 0.16-0
Date: 2025-03-26
License: GPL (>= 2)

This package provides functions to solve the Blind Source Separation problem for multivariate spatial data. These methods are designed to work with random fields that are observed on irregular locations. Moreover, the random field is assumed to show weak second order stationarity. The main functions of this package are:

Joint diagonalization is computed with the frjd (fast real joint diagonalization) algorithm from the package JADE.

The random field can be either a pair of numeric matrices giving the coordinates and field values or an object of class SpatialPointsDataFrame or sf.

Author(s)

Christoph Muehlmann, Mika Sipila, Claudia Cappello, Sandra De Iaco, Klaus Nordhausen, Sara Taskinen, Joni Virta

Maintainer: Klaus Nordhausen klausnordhausenR@gmail.com

References

Bachoc, F., Genton, M. G, Nordhausen, K., Ruiz-Gazen, A. and Virta, J. (2020), Spatial Blind Source Separation, Biometrika, 107, 627-646, doi:10.1093/biomet/asz079.

Muehlmann, C., Bachoc, F. and Nordhausen, K. (2022), Blind Source Separation for Non-Stationary Random Fields, Spatial Statistics, 47, 100574, doi:10.1016/j.spasta.2021.100574.

Muehlmann, C., Bachoc, F., Nordhausen, K. and Yi, M. (2024), Test of the Latent Dimension of a Spatial Blind Source Separation Model, Statistica Sinica, 34, 837-865, doi:10.5705/ss.202021.0326.

Muehlmann, C., Filzmoser, P. and Nordhausen, K. (2024), Spatial Blind Source Separation in the Presence of a Drift, Austrian Journal of Statistics, 53, 48-68, doi:10.17713/ajs.v53i2.1668.

Nordhausen, K., Oja, H., Filzmoser, P. and Reimann, C. (2015), Blind Source Separation for Spatial Compositional Data, Mathematical Geosciences 47, 753-770, doi:10.1007/s11004-014-9559-5.

Sipila, M., Muehlmann, C. Nordhausen, K. and Taskinen, S. (2024). Robust second order stationary spatial blind source separation using generalized sign matrices, Spatial Statistics, 59, 100803, doi:10.1016/j.spasta.2023.100803.


[Package SpatialBSS version 0.16-0 Index]