A Homological Approach to Belief Propagation and Bethe Approximations (1903.06088v1)

Published 14 Mar 2019 in math-ph and math.MP

Abstract: We introduce a differential complex of local observables given a decomposition of a global set of random variables into subsets. Its boundary operator allows us to define a transport equation equivalent to Belief Propagation. This definition reveals a set of conserved quantities under Belief Propagation and gives new insight on the relationship of its equilibria with the critical points of Bethe free energy.

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Authors (1)

Olivier Peltre

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