Causality, Correlation, and Artificial Intelligence for Rational Decision Making by Marwala Tshilidzi

Author:Marwala, Tshilidzi
Language: eng
Format: epub
Publisher: World Scientific Publishing Company

The phase space can be expressed in the Hamiltonian dynamics by developing the derivative of the ‘position’ and ‘momentum’ in terms of time τ. The expression ‘position’applied in this chapter is the neural network weights. The dynamics of the Hamiltonian consequently can be expressed as follows (Neal, 1993):

Equations 5.12 and 5.13 cannot be solved exactly and are thus discretized by applying a ‘leapfrog’ technique. The leapfrog discretization of Equations 5.12 and 5.13 may be expressed as follows (Neal, 1993):

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