Save latent space statistics

Currently one needs to access the .pkl to retrieve the information about the latent space, which can be inconvenient. If the parameters of the latent space could be saved in a separate folder that could be useful for further processing.

The issue names no files or tests; start by locating where latent-space parameters are written to the .pkl and tracing the existing output path. Determine how a separate folder should contain those parameters, then verify that the saved statistics can be retrieved for further processing.

Written by the indexing model from the issue text.