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Università della Svizzera italiana

Gaussian mean field regularizes by limiting learned information

Kunze, Julius ; Kirsch, Louis ; Ritter, Hippolyt ; Barber, David

In: Entropy, 2019, vol. 21, no. 8, p. 758

Variational inference with a factorized Gaussian posterior estimate is a widely-used approach for learning parameters and hidden variables. Empirically, a regularizing effect can be observed that is poorly understood. In this work, we show how mean field inference improves generalization by limiting mutual information between learned parameters and the data through noise. We quantify a...

Consortium of Swiss Academic Libraries

On the mod-Gaussian convergence of a sum over primes

Wahl, Martin

In: Mathematische Zeitschrift, 2014, vol. 276, no. 3-4, p. 635-654

Consortium of Swiss Academic Libraries

Quantum Model of Classical Mechanics: Maximum Entropy Packets

Hájíček, P.

In: Foundations of Physics, 2009, vol. 39, no. 9, p. 1072-1096

Consortium of Swiss Academic Libraries

American Parisian options

Chesney, Marc ; Gauthier, Laurent

In: Finance and Stochastics, 2006, vol. 10, no. 4, p. 475-506

Consortium of Swiss Academic Libraries

Phase Transition and Level-Set Percolation for the Gaussian Free Field

Rodriguez, Pierre-François ; Sznitman, Alain-Sol

In: Communications in Mathematical Physics, 2013, vol. 320, no. 2, p. 571-601