Reliable Learning with PDE-Based CNNs and DenseNets for Detecting COVID-19, Pneumonia, and Tuberculosis from Chest X-Ray Images



Marginean, Anca Nicoleta, Muntean, Delia Doris, Muntean, George Adrian, Priscu, Adelina, Groza, Adrian, Slavescu, Radu Razvan, Timbus, Calin Lucian, Munteanu, Gabriel Zeno, Morosanu, Cezar Octavian ORCID: 0000-0002-3891-4102, Cosnarovici, Maria Margareta
et al (show 1 more authors) (2021) Reliable Learning with PDE-Based CNNs and DenseNets for Detecting COVID-19, Pneumonia, and Tuberculosis from Chest X-Ray Images. MATHEMATICS, 9 (4). p. 434.

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Abstract

<jats:p>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-specific transfer learning. To this end, we compile public data on patients diagnosed with COVID-19, pneumonia, and tuberculosis, along with normal chest X-ray images. The negative impact of the small number of COVID-19 images is reduced by applying transfer learning in several ways. For the parabolic and hyperbolic networks, we pretrain the networks on normal and pneumonia images and further use the obtained weights as the initializers for the networks to discriminate between COVID-19, pneumonia, tuberculosis, and normal aspects. For DenseNets, we apply transfer learning twice. First, the ImageNet pretrained weights are used to train on the CheXpert dataset, which includes 14 common radiological observations (e.g., lung opacity, cardiomegaly, fracture, support devices). Then, the weights are used to initialize the network which detects COVID-19 and the three other classes. The resulting networks are compared in terms of how well they adapt to the small number of COVID-19 images. According to our quantitative and qualitative analysis, the resulting networks are more reliable compared to those obtained by direct training on the targeted dataset.</jats:p>

Item Type: Article
Uncontrolled Keywords: partial differential equations (PDEs), COVID-19, convolutional neural network (CNN), imbalanced dataset
Divisions: Faculty of Health and Life Sciences
Faculty of Health and Life Sciences > Institute of Life Courses and Medical Sciences
Faculty of Health and Life Sciences > Institute of Life Courses and Medical Sciences > School of Medicine
Depositing User: Symplectic Admin
Date Deposited: 30 Jun 2021 14:27
Last Modified: 15 Mar 2024 17:31
DOI: 10.3390/math9040434
Open Access URL: https://www.mdpi.com/2227-7390/9/4/434
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3128296