A general backpropagation algorithm for feedforward neural networks learning
Xinghuo Yu, Mehmet Önder Efe, Okyay Kaynak
Abstract
Xinghuo Yu, Mehmet Önder Efe, Okyay Kaynak
Abstract
A general backpropagation algorithm is proposed for feedforward neural network learning with time varying inputs. The Lyapunov function approach is used to rigorously analyze the convergence of weights, with the use of the algorithm, toward minima of the error function. Sufficient conditions to guarantee the convergence of weights for time varying inputs are derived. It is shown that most commonly used backpropagation learning algorithms are special cases of the developed general algorithm.
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A general backpropagation algorithm is proposed for feedforward neural network learning with time varying inputs. The Lyapunov function approach is used to rigorously analyze the convergence of weights, with the use of the algorithm, toward minima of the error function. Sufficient conditions to guarantee the convergence of weights for time varying inputs are derived. It is shown that most commonly used backpropagation learning algorithms are special cases of the developed general algorithm.
Key concepts: Backpropagation, Feedforward neural network, Artificial neural network, Computer science, Rprop, Maxima and minima, Convergence (economics), Algorithm