{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:05:42Z","timestamp":1760234742486,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T00:00:00Z","timestamp":1623369600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51975121","51605406"],"award-info":[{"award-number":["51975121","51605406"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Postdoctoral Science Foundation of China","award":["2019M652881"],"award-info":[{"award-number":["2019M652881"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>It is important for equipment to operate safely and reliably so that the working state of mechanical parts pushes forward an immense influence. Therefore, in order to enhance the dependability and security of mechanical equipment, to accurately predict the changing trend of mechanical components in advance plays a significant role. This paper introduces a novel condition prediction method, named error fusion of hybrid neural networks (EFHNN), by combining the error fusion of multiple sparse auto-encoders with convolutional neural networks for predicting the mechanical condition. First, to improve prediction accuracy, we can use the error fusion of multiple sparse auto-encoders to collect multi-feature information, and obtain a trend curve representing machine condition as well as a threshold line that can indicate the beginning of mechanical failure by computing the square prediction error (SPE). Then, convolutional neural networks predict the state of the machine according to the original data when the SPE value exceeds the threshold line. It can be seen from this result that the EFHNN method in the prediction of mechanical fault time series is available and superior.<\/jats:p>","DOI":"10.3390\/s21124043","type":"journal-article","created":{"date-parts":[[2021,6,14]],"date-time":"2021-06-14T22:25:46Z","timestamp":1623709546000},"page":"4043","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Error Fusion of Hybrid Neural Networks for Mechanical Condition Dynamic Prediction"],"prefix":"10.3390","volume":"21","author":[{"given":"Wentao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1467-2927","authenticated-orcid":false,"given":"Yucheng","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China"},{"name":"College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5362-3872","authenticated-orcid":false,"given":"Shaohui","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tuzhi","family":"Long","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China"},{"name":"School of Automation, Guangdong University of Technology, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1861-6199","authenticated-orcid":false,"given":"Jinglun","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Dongguan University of Technology, Dongguan 523808, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"7076","DOI":"10.1109\/TIE.2016.2586442","article-title":"Enhanced Restricted Boltzmann Machine with Prognosability Regularization for Prognostics and Health Assessment","volume":"63","author":"Liao","year":"2016","journal-title":"IEEE Trans. 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