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OFAI-TR-2014-13 ( 366kB PDF file)

Restricted Boltzmann Machine Derivations

Jan Schlüter

This document gives detailed derivations for the central quantities of Restricted Boltzmann Machines (RBMs): The conditional distributions of visible and hidden units, and the log likelihood gradient with respect to the model parameters. It handles the standard Bernoulli-Bernoulli RBM (with binary visible and hidden units) as well as different formulations of the Gaussian-Bernoulli RBM (with real-valued visible units). It is not meant as a general introduction to RBMs, but as a supplement helping to follow the mathematics.

Keywords: Restricted Boltzmann Machines

Citation: Schlüter J.: Restricted Boltzmann Machine Derivations. Technical Report, Österreichisches Forschungsinstitut für Artificial Intelligence, Wien, TR-2014-13,