Representational Power of Restricted Boltzmann Machines and Deep Belief Networks.

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Bibliographic Details
Title: Representational Power of Restricted Boltzmann Machines and Deep Belief Networks.
Authors: Le Roux, Nicolas1 lerouxni@iro.umontreal.ca, Bengio, Yoshua1 bengioy@iro.umontreal.ca
Source: Neural Computation. Jun2008, Vol. 20 Issue 6, p1631-1649. 19p. 1 Diagram, 1 Graph.
Subjects: Artificial neural networks, Functional representation, Computer programming, Artificial intelligence, Algorithms
Abstract: Deep belief networks (DBN) are generative neural network models with many layers of hidden explanatory factors, recently introduced by Hinton,Osindero, and Teh (2006) alongwith a greedy layer-wise unsupervised learning algorithm. The building block of a DBN is a probabilistic model called a restricted Boltzmann machine (RBM), used to represent one layer of the model. Restricted Boltzmann machines are interesting because inference is easy in them and because they have been successfully used as building blocks for training deeper models. We first prove that adding hidden units yields strictly improvedmodeling power,while a second theorem shows that RBMs are universal approximators of discrete distributions. We then study the question of whether DBNs with more layers are strictly more powerful in terms of representational power. This suggests a new and less greedy criterion for training RBMs within DBNs. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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