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Kyrylo Yemets

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Preprint Aug 2026

Information Geometry of Message Passing

We show that the natural-gradient stationary condition of variational inference has an edge-local form on a Forney-style factor graph. We start from the Bethe free energy and constrain a selected edge marginal to an exponential family. At a stationary point, the natural parameter of that edge equals the sum of two proj...

Mykola Lukashchuk, Kyrylo Yemets, Alex Ledbetter et al. · 0 citations

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