2002IEEE Transactions on Neural NetworksRequires access

A general backpropagation algorithm for feedforward neural networks learning

Xinghuo Yu, Mehmet Önder Efe, Okyay Kaynak

Open publisher page 223 citations

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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What this paper is about

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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OpenAlex reports 223 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Backpropagation, Feedforward neural network, Artificial neural network, Computer science, Rprop, Maxima and minima, Convergence (economics), Algorithm

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