Information cohomology is computed in low degrees to establish multivariate mutual informations as k-coboundaries, with simplicial structures yielding free-energy interpretations and a topological minimum free energy complex.
Finite polylogarithms, their multiple analogues and the shannon entropy
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The Poincar\'e-Boltzmann Machine: from Statistical Physics to Machine Learning and back
Information cohomology is computed in low degrees to establish multivariate mutual informations as k-coboundaries, with simplicial structures yielding free-energy interpretations and a topological minimum free energy complex.