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Cryptanalysis of an optical cryptosystem with uncertainty quantification in a probabilistic model

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Abstract

In this paper, a modified probabilistic deep learning method is proposed to attack the double random phase encryption by modeling the conditional distribution of plaintext. The well-trained probabilistic model gives both predictions of plaintext and uncertainty quantification, the latter of which is first introduced to optical cryptanalysis. Predictions of the model are close to real plaintexts, showing the success of the proposed model. Uncertainty quantification reveals the level of reliability of each pixel in the prediction of plaintext without ground truth. Subsequent simulation experiments demonstrate that uncertainty quantification can effectively identify poor-quality predictions to avoid the risk of unreliability from deep learning models.

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Supplementary Material (1)

NameDescription
Supplement 1       Supplemental Equations and Figure

Data availability

Data underlying the results presented in this paper are available in Refs. [35,37].

35. H. Xiao, K. Rasul, and R. Vollgraf, “Fashion-mnist: a novel image dataset for benchmarking machine learning algorithms,” arXiv:1708.07747 (2017).

37. L. Deng, “The mnist database of handwritten digit images for machine learning research [best of the web],” IEEE Signal Process. Mag. 29(6), 141–142 (2012). [CrossRef]  

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Equations (7)

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