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      Rolling Bearing Fault Diagnosis Based on VMD-MPE and PSO-SVM

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          Abstract

          The goal of the paper is to present a solution to improve the fault detection accuracy of rolling bearings. The method is based on variational mode decomposition (VMD), multiscale permutation entropy (MPE) and the particle swarm optimization-based support vector machine (PSO-SVM). Firstly, the original bearing vibration signal is decomposed into several intrinsic mode functions (IMF) by using the VMD method, and the feature energy ratio (FER) criterion is introduced to reconstruct the bearing vibration signal. Secondly, the multiscale permutation entropy of the reconstructed signal is calculated to construct multidimensional feature vectors. Finally, the constructed multidimensional feature vector is fed into the PSO-SVM classification model for automatic identification of different fault patterns of the rolling bearing. Two experimental cases are adopted to validate the effectiveness of the proposed method. Experimental results show that the proposed method can achieve a higher identification accuracy compared with some similar available methods (e.g., variational mode decomposition-based multiscale sample entropy (VMD-MSE), variational mode decomposition-based multiscale fuzzy entropy (VMD-MFE), empirical mode decomposition-based multiscale permutation entropy (EMD-MPE) and wavelet transform-based multiscale permutation entropy (WT-MPE)).

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          Variational Mode Decomposition

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            Scalable training of artificial neural networks with adaptive sparse connectivity inspired by network science

            Through the success of deep learning in various domains, artificial neural networks are currently among the most used artificial intelligence methods. Taking inspiration from the network properties of biological neural networks (e.g. sparsity, scale-freeness), we argue that (contrary to general practice) artificial neural networks, too, should not have fully-connected layers. Here we propose sparse evolutionary training of artificial neural networks, an algorithm which evolves an initial sparse topology (Erdős–Rényi random graph) of two consecutive layers of neurons into a scale-free topology, during learning. Our method replaces artificial neural networks fully-connected layers with sparse ones before training, reducing quadratically the number of parameters, with no decrease in accuracy. We demonstrate our claims on restricted Boltzmann machines, multi-layer perceptrons, and convolutional neural networks for unsupervised and supervised learning on 15 datasets. Our approach has the potential to enable artificial neural networks to scale up beyond what is currently possible.
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              Sparsity guided empirical wavelet transform for fault diagnosis of rolling element bearings

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                Author and article information

                Contributors
                Role: Academic Editor
                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                16 June 2021
                June 2021
                : 23
                : 6
                : 762
                Affiliations
                [1 ]School of Mechatronics Engineering, Nanjing Forestry University, Nanjing 210037, China; yemaoyou@ 123456njfu.edu.cn
                [2 ]School of Mechanical Engineering, Southeast University, Nanjing 211189, China; mpjia@ 123456seu.edu.cn
                Author notes
                [* ]Correspondence: yanxiaoan@ 123456njfu.edu.cn ; Tel.: +86-25-85427779
                Article
                entropy-23-00762
                10.3390/e23060762
                8233737
                73c01790-866a-4d5c-ba6b-36b6394fa8e7
                © 2021 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( https://creativecommons.org/licenses/by/4.0/).

                History
                : 12 May 2021
                : 14 June 2021
                Categories
                Article

                variational modal decomposition,multiscale permutation entropy,particle swarm optimization-based support vector machine,rolling bearing,fault diagnosis

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