Table 1 Correlation coefficients. \(\rho\) computed between each feature and both latent variables. Intra-group refers to the mean \(\rho\) computed per group across all groups.

From: Structured generative modelling of earthquake response spectra with hierarchical latent variables in hyperbolic geometry

Feature

Global \(z_0\)

Global \(z_1\)

Intra-group \(z_0\)

Intra-group \(z_1\)

Magnitude (M)

− 0.459

0.876

–

–

Hypocentre depth (\(Z_{\textrm{hyp}}\))

− 0.267

− 0.212

–

–

Rupture distance (\(R_{\textrm{rup}}\))

0.563

− 0.170

0.555

− 0.417

Shear-wave velocity (\(V_{s30}\))

0.210

− 0.307

0.114

− 0.267

Log-transformed peak ground acceleration (\(\ln {PGA}\))

− 0.875

0.809

− 0.745

0.479