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Message-Passing Algorithms and Homology
[article]

2020
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arXiv
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pre-print

This PhD thesis lays out algebraic and topological structures relevant for the study of probabilistic graphical models. Marginal estimation algorithms are introduced as diffusion equations of the form u̇ = δφ. They generalise the traditional belief propagation (BP) algorithm, and provide an alternative for contrastive divergence (CD) or Markov chain Monte Carlo (MCMC) algorithms, typically involved in estimating a free energy functional and its gradient w.r.t. model parameters. We propose a new

arXiv:2009.11631v1
fatcat:fppkkjpczvgxvnkbwcxlptc5fq