meigen0: Nystrom extension of Moran eigenvectors

In spmoran: Fast Spatial and Spatio-Temporal Regression using Moran Eigenvectors

Nystrom extension of Moran eigenvectors

Description

This function estimates Moran eigenvectors at unobserved sites using the Nystrom extension.

Usage

meigen0( meig, coords0, coords_z0 = NULL, s_id0 = NULL )

Arguments

meig	Moran eigenvectors and eigenvalues. Output from meigen or meigen_f
coords0	Matrix of spatial point coordinates of prediction sites (N_0 x 2)
coords_z0	Optional. One- or two-column matrix whose t-th column represents the t-th temporal coordinate of prediction times (N_0 x 1 or N_0 x 2).
s_id0	Optional. ID specifying groups modeling spatial effects (N_0 x 1). If specified, Moran eigenvectors are extracted by groups. It is useful e.g. for multilevel modeling (s_id is the groups) and panel data modeling (s_id is given by individual location id). Default is NULL

Value

sf	Matrix of the first L eigenvectors at unobserved sites (N_0 x L)
ev	Vector of the first L eigenvalues (L x 1)
sf_z	List. t-th element is the matrix of the t-th temporal eigenvectors (N x L_t)
ev_z	List. t-th element is the vector of the t-th temporal eigenvalues (L_t x 1)
other	List of other outputs, which are internally used

Author(s)

Daisuke Murakami

References

Drineas, P. and Mahoney, M.W. (2005) On the Nystrom method for approximating a gram matrix for improved kernel-based learning. Journal of Machine Learning Research, 6 (2005), 2153-2175.

See Also

meigen, meigen_f

spmoran documentation built on Oct. 13, 2024, 1:07 a.m.