2021
DOI: 10.3390/math9040434
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Reliable Learning with PDE-Based CNNs and DenseNets for Detecting COVID-19, Pneumonia, and Tuberculosis from Chest X-Ray Images

Abstract: It has recently been shown that the interpretation by partial differential equations (PDEs) of a class of convolutional neural networks (CNNs) supports definition of architectures such as parabolic and hyperbolic networks. These networks have provable properties regarding the stability against the perturbations of the input features. Aiming for robustness, we tackle the problem of detecting changes in chest X-ray images that may be suggestive of COVID-19 with parabolic and hyperbolic CNNs and with domain-speci… Show more

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Cited by 7 publications
(3 citation statements)
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“…The accuracy of the model is 0.964 on an average specificity and sensitivity of 91% showing that deep convolutional neural networks can be developed with high classification accuracy and can help in the diagnosis procedure. [25] proposed a Reliable Learning with Partial differential equation to detect various diseases from Chest X-rays.…”
Section: Literature Surveymentioning
confidence: 99%
“…The accuracy of the model is 0.964 on an average specificity and sensitivity of 91% showing that deep convolutional neural networks can be developed with high classification accuracy and can help in the diagnosis procedure. [25] proposed a Reliable Learning with Partial differential equation to detect various diseases from Chest X-rays.…”
Section: Literature Surveymentioning
confidence: 99%
“…For example, disease cases are usually much smaller than those without disease, or, as in the case of this paper, outpatient cases during toddler and post-puberty stages are very scarce, but these are a small number of cases, usually the system still must be able to distinguish them, so many existing studies are devoted to alleviating the problem of serious imbalances of X-ray data. The most commonly used methods are several: re-sampling the data by undersampling [9,10] or oversampling [11][12][13][14], using transfer learning [15][16][17] to pre-train network parameters with other datasets with relatively sufficient data, and using the target task dataset to fine-tune the model. In addition, the loss function of its CNNs is improved [18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%
“…Learning is one of the most efficient artificial intelligence capabilities; in [2], learning with PDE-based CNNs and dense nets for the purpose of detecting COVID-19, pneumonia, and tuberculosis from chest X-ray images was studied. In the same context, automatic COVID-19 detection from chest X-ray and CT-scan images was proposed [3] within a new meta-heuristic feature selection using an optimized convolutional neural network [4].…”
Section: Introductionmentioning
confidence: 99%