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• W2963348254 abstract "Abstract: We show that deep narrow Boltzmann machines are universal approximators of probability distributions on the activities of their visible units, provided they have sufficiently many hidden layers, each containing the same number of units as the visible layer. We show that, within certain parameter domains, deep Boltzmann machines can be studied as feedforward networks. We provide upper and lower bounds on the sufficient depth and width of universal approximators. These results settle various intuitions regarding undirected networks and, in particular, they show that deep narrow Boltzmann machines are at least as compact universal approximators as narrow sigmoid belief networks and restricted Boltzmann machines, with respect to the currently available bounds for those models." @default.
• W2963348254 created "2019-07-30" @default.
• W2963348254 creator A5072280192 @default.
• W2963348254 date "2015-01-01" @default.
• W2963348254 modified "2023-10-18" @default.
• W2963348254 title "Deep Narrow Boltzmann Machines are Universal Approximators" @default.
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• W2963348254 hasPublicationYear "2015" @default.
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