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Correction

Correction: Wang et al. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024

1
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2
Nanjing Institute of Railway Technology, Nanjing 210031, China
*
Author to whom correspondence should be addressed.
Processes 2025, 13(12), 3971; https://doi.org/10.3390/pr13123971
Submission received: 4 November 2025 / Accepted: 6 November 2025 / Published: 9 December 2025
References
The references listed below have been removed from the original publication [1] and replaced with relevant references, as they were cited by mistake. Besides that, two additional references were completely removed and ordered of several references had been adjusted. With this correction, the order of some references has been adjusted accordingly. The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.
25. Deng, Y.; Zhou, X.; Shen, J.; Xiao, G.; Hong, H.; Lin, H.; Wu, F.; Liao, B.Q. New methods based on back propagation (BP) and radial basis function (RBF) artificial neural networks (ANNs) for predicting the occurrence of haloketones in tap water. Sci. Total Environ. 2021, 772, 145534.
has been replaced with
Chen, Z.J.; Xuan, J.Q.; Wang, P.; Tian, G.Y. Simulation on High Speed Rail Magnetic Flux Leakage Inspection. In Proceedings of the IEEE International Instrumentation and Measurement Technology Conference, Hangzhou, China, 10–12 May 2011; pp. 760–764.
26. Liu, B.; He, L.Y.; Zhang, H.; Cao, Y.; Fernandes, H. The axial crack testing model for long distance oil—Gas pipeline based on magnetic flux leakage internal inspection method. Measurement 2017, 103, 275–282.
has been replaced with
Wilson, J.W.; Tian, G.Y. 3D Magnetic Field Sensing for Magnetic Flux Leakage Defect Characterisation. Insight Non Destr. Test. Cond. Monit. 2006, 48, 357–359.
27. Andersen, R.E.; Nalpantidis, L.; Ravn, O.; Boukas, E. Simultaneous regression-based spatial coverage estimation and object detection with deep learning. Electron. Lett. 2021, 57, 605–607.
has been replaced with
Rodrigues, T.A.; Duarte, V.; Miranda, R.M.; Santos, T.G.; Oliveira, J.P. Current status and perspectives on wire and arc additive manufacturing (WAAM). Materials 2019, 12, 1121.
30. Zerbst, U.; Lundén, R.; Edel, K.-O. Introduction to the damage tolerance behaviour of railway rails—A review. Eng. Fract. Mech. 2009, 76, 2563–2601.
has been replaced with
Liu, Z.; Hu, L. Evaluation of Surface Defect Area in Metal Based on Infrared Thermal Image. Appl. Mech. Mater. 2014, 530–531, 171–174.
References that were completely removed:
28. Yang, Z.; Boogaard, A.; Chen, R.; Dollevoet, R.; Li, Z. Numerical and experimental study of wheel-rail impact vibration and noise generated at an insulated rail joint. Int. J. Impact Eng. 2017, 113, 29–39.
29. Dudkin, E.; Andreeva, L.; Sultanov, N. Methods of noise and vibration protection on urban rail transport. Procedia Eng. 2017, 189, 829–835.

Reference

  1. Wang, Y.; Wang, Y.; Wang, P.; Ji, K.; Wang, J.; Yang, J.; Shu, Y. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024. [Google Scholar] [CrossRef]
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MDPI and ACS Style

Wang, Y.; Wang, Y.; Wang, P.; Ji, K.; Wang, J.; Yang, J.; Shu, Y. Correction: Wang et al. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024. Processes 2025, 13, 3971. https://doi.org/10.3390/pr13123971

AMA Style

Wang Y, Wang Y, Wang P, Ji K, Wang J, Yang J, Shu Y. Correction: Wang et al. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024. Processes. 2025; 13(12):3971. https://doi.org/10.3390/pr13123971

Chicago/Turabian Style

Wang, Yi, Yuhui Wang, Ping Wang, Kailun Ji, Jun Wang, Jie Yang, and Yuan Shu. 2025. "Correction: Wang et al. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024" Processes 13, no. 12: 3971. https://doi.org/10.3390/pr13123971

APA Style

Wang, Y., Wang, Y., Wang, P., Ji, K., Wang, J., Yang, J., & Shu, Y. (2025). Correction: Wang et al. Rail Magnetic Flux Leakage Detection and Data Analysis Based on Double-Track Flaw Detection Vehicle. Processes 2023, 11, 1024. Processes, 13(12), 3971. https://doi.org/10.3390/pr13123971

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