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Global Boltzmann perceptron network for online learning of conditional distributions

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2 Author(s)
Thathachar, M. ; Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India ; Arvind, M.T.

This paper proposes a backpropagation-based feedforward neural network for learning probability distributions of outputs conditioned on inputs using incoming input-output samples only. The backpropagation procedure is shown to locally minimize the Kullback-Leibler measure in an expected sense. The procedure is enhanced to facilitate boundedness of weights and exploration of the search space to reach a global minimum. The weak convergence theory is employed to show that the long-term behavior of the resulting algorithm can be approximated by that of a stochastic differential equation, whose invariant distributions are concentrated around the global minima of the Kullback-Leibler measure within a region of interest. Simulation studies on problems involving samples arriving from a mixture of labeled densities and the well-known Iris data problem demonstrate the speed and accuracy of the proposed procedure

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Neural Networks, IEEE Transactions on  (Volume:10 ,  Issue: 5 )