Fig. 12

Municipalities soft clustering on all the topics depicts the semi-supervised hard assignment obtained from the k-means performed over the therm-frequency distances with θ=1.01 on the Z⁰ for m=3 groups using χ² distances D obtained from topic modelling with k=3 after 39 iterations. Left top Hard membership. Left bottom the conditional entropy of topics H(R|i) showing municipality-topic probability distribution uncertainty. Right top CA bi-plot between Z^∞ (∙) and the official classification (\(\blacktriangle \)) with m=3. Right bottom The free-energy plot (β=20,α=10)