Paper
14 June 2023 Solutions to small datasets in defects detection based on Markov chain Monte Carlo simulations
Xin Yan Wang, Hua Fan
Author Affiliations +
Proceedings Volume 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023); 127250S (2023) https://doi.org/10.1117/12.2679161
Event: International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 2023, Suzhou, China
Abstract
In the processes of industrial defects detections, deep neural networks have received much favor for its high efficiency and low labor cost. As is known, a big amount of dataset is the precondition to train any network. However, the datasets of industrial defects tended to be small and hard to obtain. To solve the problem above, we raise a thought of simulation based on MCMC aiming to sample from the posterior distribution of the defect’s images, which is viewed as the limit distribution of certain Markov Chain. Once we capture the posterior distribution, the law of the defects is revealed. 1Therefore, generating pseudo samples by the law is quite reasonable. It has been proved that the algorithm is practicable by advanced devices and economical in the long term. The significance of this work is to raise a practicable thought towards the problem of mini-batch industrial datasets. Code is available at https://github.com/MrSmallWang/solutions-tosmall- datasets.
© (2023) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Xin Yan Wang and Hua Fan "Solutions to small datasets in defects detection based on Markov chain Monte Carlo simulations", Proc. SPIE 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 127250S (14 June 2023); https://doi.org/10.1117/12.2679161
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KEYWORDS
Monte Carlo methods

Matrices

Defect detection

Data modeling

Histograms

Statistical analysis

Education and training

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