Research on Weight Calculation of Boltzmann Machine Based on Hopfield Network

ZHANG Bo

Computer & Telecommunication ›› 2020, Vol. 1 ›› Issue (12) : 53-57.

Computer & Telecommunication ›› 2020, Vol. 1 ›› Issue (12) : 53-57.

Research on Weight Calculation of Boltzmann Machine Based on Hopfield Network

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Abstract

In recent years, the theory of deep learning is booming again. It is widely used in machine learning, visual recognition and auditory recognition. Boltzmann machine is a typical deep learning neural network. There are many training algorithms for its net- work weights, such as contrast dispersion (CD) algorithm, which is classical. However, the current algorithm cannot accurately ob- tain the expected value of network thermal equilibrium state. Only approximate gradient values can be calculated. At the same time, the algorithm has a large amount of computation and a long running time. In this paper, a method of RBM weight calculation is pro- posed. Firstly, RBM is equivalent to Hopfield network. Then the weight matrix is designed by DHNN weight design method. Final- ly, the RBM weight solving problem is transformed into the eigenvalue and eigenvector problem of DHNN weight matrix. An exam- ple is given to illustrate the calculation process and the correctness of the algorithm is verified by the data.

Key words

boltzmann machine / Hopfield network / neuron / weight matrix

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ZHANG Bo. Research on Weight Calculation of Boltzmann Machine Based on Hopfield Network[J]. Computer & Telecommunication. 2020, 1(12): 53-57

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