2022
DOI: 10.3233/jifs-219225
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Wavelets as activation functions in Neural Networks

Abstract: Traditionally, a few activation functions have been considered in neural networks, including bounded functions such as threshold, sigmoidal and hyperbolic-tangent, as well as unbounded ReLU, GELU, and Soft-plus, among other functions for deep learning, but the search for new activation functions still being an open research area. In this paper, wavelets are reconsidered as activation functions in neural networks and the performance of Gaussian family wavelets (first, second and third derivatives) are studied t… Show more

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Cited by 5 publications
(4 citation statements)
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“…Since the above function cannot be directly computed, such an activation function can be approximated by Equations ( 17) and (18).…”
Section: Gelu Functionmentioning
confidence: 99%
See 1 more Smart Citation
“…Since the above function cannot be directly computed, such an activation function can be approximated by Equations ( 17) and (18).…”
Section: Gelu Functionmentioning
confidence: 99%
“…While these activation functions utilize nonlinear information to enhance the problem‐solving capabilities of linear models, they suffer from the vanishing gradient problem. [ 18 ] Subsequently, the Gaussian error linear unit (GELU) was proposed, demonstrating promising results in the Modified National Institute of Standards and Technology (MNIST) classifier. [ 19 ] GELU addresses the issue of gradient disappearance by incorporating part of the negative information when x < 0.…”
Section: Introductionmentioning
confidence: 99%
“…Besides, mathematical model analysis is one of the common mechanical analysis methods and method of electrical fault diagnosis and analysis for heavy-duty robots. Nowadays, major diagnosis methods of robot faults ,there are expert system diagnosis methods, artificial neural network methods and mathematical model-based methods [22][23][24]. The development of a new expert system for diagnosing marine diesel engines based on real-time diagnostic parameters proposed by Gharib [25] , and tEstimation of the Kinematics and Workspace of a Robot Using Artificial Neural Networks proposed by Boanta apply artificial neural network to evaluate the workspace of robots [26] .…”
Section: Introductionmentioning
confidence: 99%
“…At the same time, machine learning models are suitable for the accurate estimation of complex nonlinear relationships. Therefore, inspired by the success of this hybrid prediction model, an integrated model is proposed, which is based on singular spectrum analysis (SSA), ARIMA, Prophet, and wavelet neural network (WNN), , for predicting daily oil production. The proposed method consists of the following main steps.…”
Section: Introductionmentioning
confidence: 99%