2018
DOI: 10.1155/2018/7361628
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Fractional-Order Deep Backpropagation Neural Network

Abstract: In recent years, the research of artificial neural networks based on fractional calculus has attracted much attention. In this paper, we proposed a fractional-order deep backpropagation (BP) neural network model with L2 regularization. The proposed network was optimized by the fractional gradient descent method with Caputo derivative. We also illustrated the necessary conditions for the convergence of the proposed network. The influence of L2 regularization on the convergence was analyzed with the fractional-o… Show more

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Cited by 49 publications
(29 citation statements)
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“…Bao in his research proposed a fractional-order deep backpropagation (BP) neural network model with Caputo derivative [19]. The proposed model had no limitations on the number of layers and the fractional-order was extended to an arbitrary real number bigger than 0.…”
Section: Methodsmentioning
confidence: 99%
“…Bao in his research proposed a fractional-order deep backpropagation (BP) neural network model with Caputo derivative [19]. The proposed model had no limitations on the number of layers and the fractional-order was extended to an arbitrary real number bigger than 0.…”
Section: Methodsmentioning
confidence: 99%
“…These layers are successfully evaluating the oral features using a particular function that identifies the link between oral features and brain disease features. During this process, the system utilizes the back propagation network [39] used for feature training process that used is to minimize the deviation from the expected and computed oral cavity features. The representation of training is depicted in figure 6.…”
Section: Oral Cavity Linked Neurological Disorders Identification Usimentioning
confidence: 99%
“…Recently, many systems are modeled as fractional-order systems utilizing fractional-order calculus. The fractional-calculus is found in several applications [34] in areas including electromagnetic waves [38], chemical engineering [39], signal processing [40], polymer science [41], electro-chemistry [42], neural networks [43], fluid mechanics [44], bio-engineering and bio sciences [45], control of power electronics [46], nonlinear control [47], etc.…”
Section: Fractional Order Calculusmentioning
confidence: 99%