A dataset representing the Minnesota road network along with two associated synthetic signals.
minnesotaA list with 5 elements:
xy A matrix indicating the spatial location of each node.
sA A sparse matrix representation of the road network's adjacency matrix.
f1 Synthetic signal generated with parameters \(\eta = 0.01\) and \(k = 2\).
f2 Synthetic signal generated with parameters \(\eta = 0.001\) and \(k = 4\).
labels A character vector with labels that represent various points of entry, border crossings, and notable cities within Minnesota, with some nodes possibly lacking specific location identifiers.
The Minnesota roads graph represents a planar structure consisting of 2642 vertices and 6606 edges.
The signals come from the referenced paper generated using randsignal with parameters \(\eta=0.01, k=2\) and \(\eta=0.001,k=4\).
de Loynes, B., Navarro, F., Olivier, B. (2021). Data-driven thresholding in denoising with Spectral Graph Wavelet Transform. Journal of Computational and Applied Mathematics, Vol. 389.