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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Detection of Early Pneumonia on Individual CT Scans with Dilated Convolutions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Iurii Krak</string-name>
          <email>yuri.krak@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olexander Barmak</string-name>
          <email>lexander.barmak@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pavlo Radiuk</string-name>
          <email>radiukpavlo@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Glushkov Cybernetics Institute</institution>
          ,
          <addr-line>Kyiv, 40, Glushkov av., 03187</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Khmelnytskyi National University</institution>
          ,
          <addr-line>Khmelnytskyi, 11, Institutes str., 29016</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Kyiv, 64/13, Volodymyrska str., 01601</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Over the past decades, pneumonia has been considered one of the most dangerous diseases, leading to severe consequences in a short time. Without proper and timely treatment, pneumonia can lead to fatal consequences. Thus, early diagnosis and detection of this lung disease are crucial in successful treatment and constant monitoring. Indeed, there is a high demand for the development of medical image technologies for disease identification. In this paper, we propose a novel information technology for robust feature identification and early detection of pneumonia on computer tomography scans. We also propose a new modified convolutional neural network as a core feature extractor. An effective dilated convolution operation with different rates, combining features of various receptive fields, was utilized to detect and analyze visual deviations in targeted images. Due to applying the dilated convolutions, the network avoids significant losses of objects' spatial information while providing low computational losses. The investigated model classifies computed tomography images with a validation accuracy of up to 96.12%. Overall, our approach requires much fewer computing resources, proving its effectiveness for solving practical problems on available computing devices.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Pneumonia detection</kwd>
        <kwd>computer tomography</kwd>
        <kwd>feature extraction</kwd>
        <kwd>deep learning</kwd>
        <kwd>convolutional neural network</kwd>
        <kwd>dilated convolution</kwd>
        <kwd>individual approach</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Over the past decades, the lower respiratory tract's infectious diseases have been considered the
most common causes of death throughout the world. In particular, in 2017 [1], approximately 2.17
million people died worldwide due to airway inflammation exacerbation. Besides, the COVID-19
coronavirus pandemic has further exacerbated the lethal effects of lung diseases. Various clinical
studies confirmed that people with COVID-19 infection regularly suffer from severe pneumonia [2,
3]. Meanwhile, the quantitative difference between the level of infection and mortality [4] shows the
critical importance of early diagnosis of pneumonia. From the clinical studies [5], we know that
pneumonia is an inflammatory disease of the lungs that primarily affects tiny air sacs known as
alveoli. Its severe external symptoms are dry cough, difficulty breathing, chest pain, and fever.</p>
      <p>To date, the most general approach to diagnosing pneumonia is a chest X-ray method called
computed tomography (CT) [6, 7]. A CT image is formed on a metal surface by the passage of a
concentrated beam of X-ray photons through the soft and hard tissues of the body. At diagnosis, it is
necessary to compare the white spots on the image with infiltrates that identify the infection and white
areas with pneumonic fluid in the lungs. Fig. 1 represents examples of CT scans with different types
of pneumonia.</p>
      <p>For the most part, pneumonia can be detected at the initial stages of development only by
comparing images taken at intervals of 1–2 days [9]. However, a significant disadvantage of
radiographs, as a means of early diagnosis of viral pneumonia, is the limited range of colors,
consisting of different shades of gray. Moreover, the visual transition from air-filled tissue (normal
lung condition) visible in darker shades to distinctly compacted tissue requires enough fluid to shift
the image's overall color scheme to lighter shades [10, 11]. Thus, preventive actions to detect viral
pneumonia are complicated by the limited color scheme of radiographs and, consequently, the weak
expression of pneumonia features in CT scans.</p>
      <p>The human factor can be a critical factor in the early diagnosis of pneumonia. Radiologists must
have extensive expertise to distinguish the heterogeneous color distribution of air in the lungs. Such a
distribution can be vividly expressed on the radiograph in various gray shades, but it does not
correspond to the pneumonic fluid. Therefore, specialists must determine whether the white spots on
the X-ray film correspond to the liquid. Following recent surveys [12, 13], both false positive and
false negative diagnoses might heavily harm human health. We may assume that the use of
computational methods and the implementation of automated diagnostic systems (ADS) at an early
stage of pneumonia can substantially increase the chances of correct diagnosis and, consequently, lead
to successful preventive measures and further treatment.</p>
      <p>In general, ADSs serve the clinical decision-making process, considering the study of information
adequacy [14] and its noise immunity [15]. They combine computer vision (CV) and artificial
intelligence (AI) techniques with X-ray and CT image processing to detect image patterns. Modern
digital diagnostic systems typically operate based on machine learning (ML) methods, which detect
and describe specific disease features in a CT scan. These methods are optimized for specific datasets
and trained to identify predetermined changes in the size of the region of interest (ROI), orientation,
and position on CT scans.</p>
      <p>In recent years, visual feature extraction technologies [16, 17] have been widely spread, primarily
based on hyperplane classification approaches [18, 19] and deep learning (DL) methods[12, 20], in
particular, convolutional neural networks (CNNs) [21]. CNN has been considered the most promising
method of extracting and processing objects' features in the images [22] and therefore has been
employed to address CV issues in medical imaging.</p>
      <p>However, despite CNN's significant success in various short-term problems, the lack of precise
interpretation of the results does not allow CNN to show its full potential in medical diagnosis.
Insufficiently studied behavior of the CNN model limits its use in everyday clinical practice [23]. To
date, there is still no clear understanding of early pneumonia features on a CT scan that might indicate
the computational model about the presence of the disease. Accordingly, it is not clear how to design
a proper CNN topology for individual pneumonia diagnosis in the early stages. Consequently, the
presented research aims to cover this gap by addressing early pneumonia prevention.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>In recent years, the scientific community has presented many works on using machine diagnosis of
pneumonia on chest radiographs. For example, in [24], active contour algorithms were used to detect
the entire lung zone, and then this zone was divided into 40 ROIs. As a result of applying the
twodimensional Daubechies wavelet transform and the analysis of the main components, each region's
components were removed and compared with the predicted area. In this way, the authors could
segment the chest image and present ROIs with possible lung disease features.</p>
      <p>In work [25], the authors identified pneumonia in CT scans using a modified threshold value Otsu.
The presented threshold value makes it possible to separate the healthy part of the lung from the
manifestations of frosted glass in the image, signaling the disease's presence.</p>
      <p>The study [26] presents an automated diagnostic system that uses the procedure of CT voxel
differentiation for sequential extraction of pneumonia features in pre-prepared areas of interest.
Simultaneously, the method of reference vectors was used to train and mark the pulmonary
parenchyma's ROIs, guided by the characteristics of the image's texture and shape. This approach
made it possible to achieve a classification accuracy of 91%, which exceeded the radiologists' results
at the time.</p>
      <p>However, despite the decent results of traditional short circuit methods in the digital diagnosis of
pneumonia, they do not reveal a few essential points. First, it is necessary to specify the ROIs
manually, but it is not clear how many of them are sufficient to cover all the pneumonia features.
Further, it is unknown which types of textures are most meaningful for early pneumonia, given the
blurring of the X-ray image's features. Besides, for new forms of pneumonia, such as those caused by
COVID-19 [27, 28], it is necessary to improve the image's chest segmentation level while maintaining
a high interpretation of the results. In general, traditional CV techniques require extensive image
preprocessing and manual intervention to remove specific visual features before classification. Over
the past few years, such issues have been primarily addressed with DL methods, mainly using CNNs.</p>
      <p>In 2017 Wang et al. [29] presented a modified CNN, configured to localize the ROI based on a
gradient for the detection and spatial localization of pneumonia. Their work demonstrated the
classification accuracy of 63.3% in pneumonia detection. Wang et al. also released an extensive
collection of frontal X-rays datasets with a size of 112,120 images that significantly facilitated the
digital diagnosis of lung diseases.</p>
      <p>In [12], the gradient imaging method combined with heat maps was applied to the ROI's
localization to identify pneumonia. The authors used a 121-layer tightly coupled neural network to
assess the likelihood of disease and achieved an AUC of 76.8%. In another work [30], the authors
focused on visualizing the process of detecting pneumonia, using class activation maps (CAMs) to
interpret the results of an automated diagnostic system. The modified VGG16 achieved 93.6%
classification accuracy, and the proposed imaging approach brought us closer to understanding which
features of CNN are considered essential for the clinical decision. Another approach to visualizing
and interpreting deep learning is fully-connected CNN, specifically, the U-Net architecture. For
example, the study [31] proposes a modified U-Net architecture with convolutional kernels of
3 × 3 × 3 to segmentation abdominal organs in volumetric images of computed tomography.</p>
      <p>Over the last few years, an approach called transfer learning has become popular, which involves
transferring the values of the weights of a network trained on a single dataset to a target model of a
specific task. For example, the study [6] applied a transfer training method to a 36-layer CNN to
effectively classify pneumonia on a small dataset and used gradient-based CAMs to interpret the
automated diagnosis output. This CNN model demonstrated an impressive classification accuracy of
96.4% on a small training dataset of 5232 X-rays.</p>
      <p>In a recent study [32], the authors proposed an automated system for diagnosing pneumonia and
COVID-19 by developing a transfer training method using a few COVID-19 CT scans. The proposed
multilayer CNN uses in-depth dilated convolutions to extract various targeted features in the images
effectively. Moreover, discriminant gradient-based localization is integrated to separate ROIs that
may signal the presence of pneumonia. At present, the in-depth convolution approach seems to be the
most promising for the early diagnosis of pneumonia without expanding the neural network topology.</p>
      <p>Thus, the presented study investigates the problem of early detection of pneumonia on CT images.
The paper describes a new individual approach to medical image classification based on simple CNN
structure and modified convolutions. The article also presents the evaluation results and statistical
verification of the effectiveness of individual modified CNN.</p>
    </sec>
    <sec id="sec-3">
      <title>3. The proposed approach</title>
      <p>This section describes an approach to setting the fitted CNN architecture for the early detection of
pneumonia.
3.1.</p>
    </sec>
    <sec id="sec-4">
      <title>The modification of the convolutional layer</title>
      <p>In this part, we formulate the task of detecting pneumonia on CT scans. The following image
features have been commonly employed in image processing: target color, object shape, texture, and
objects' relationship in space. CT scans of a healthy person differ from images with pneumonia by
various textural features. Despite the intuitive choice of feature textures to identify the image's
disease, there is no clear standard for defined textures. The discussion of their definitions is far from
over [32]. Unlike image features such as grayscale and color, textures are grayscale distribution
relative to a particular pixel and space. Therefore, we present the texture as a constant repetition of
local space in the image.</p>
      <p>The convolution kernel is a typical example of the mechanism of feature extraction. In a
convolutional layer consisting of a plurality of filters, each neuron's input is connected to the previous
layer's local receiving area, which allows removing local features in the image. Due to the
convolutional layer's modification, it is possible to remove the textures' local features effectively.
However, the texture does not always entirely reflect the object's essential properties [33]; thereby,
using only the texture features to obtain a higher level of image content might not be the right
approach. As the depth of the model increases, the feature map resolution gradually decreases, and the
texture highlighted by the convolution kernel may have substantial deviations.</p>
      <p>According to clinical diagnosis [10], CT scans' pneumonia features can be either highly compacted
or diffusely distributed throughout the lung plane. Therefore, there is a need to consider the disease's
features at different observation levels [7]. In [32], Yu et al. the efficiency of dilated convolutions to
expand the convolution's receptive field without multiplying the number of convolution's core
parameters. Fig. 2 illustrates an idea of dilated convolutions with different expansion rates.</p>
      <p>Due to the peculiarity of the expansion, various disease features, removed from different
convolutions with different dilated rates, will accumulate more diversity. The traditional convolution
can be divided into in-depth and dotted, one after the other. When performing deep (spatial)
convolution, each input channel is individually processed by separate filters. Next, a point (traditional)
convolution with 1 × 1 kernels is performed to integrate deep convolution results into a new space. This
approach makes the extraction process computationally efficient with few convolutions [34].</p>
      <p>In this study, we propose to apply dilated convolutions consistently with point convolutions. First,
the dot convolution passes through a map of input characteristics to project information from many
input channels into a more expansive space. The image is then produced through numerous deep
convolutions with different spatial kernels and different dilated rates, from 1 to the maximum value of
the dilation rate. We adjust the rate's value to the size of the input feature map to cover all receptive
fields. As a result, in-depth convolutions extract spatial features from various receptive fields, from
very condensed to generalized features. Then all the disparate features go through the next point
convolution to merge into a narrow space. Such a procedure leads to removing even a few visible
features of pneumonia in the image using only a few convolutional layers, which allows designing
individual CNN architectures.
3.2.</p>
    </sec>
    <sec id="sec-5">
      <title>The proposed architecture</title>
      <p>This study investigates a few-layer CNN architecture based on skip connections, formerly
introduced in [35]. The idea is to adjust the CNN to study minor changes removed by the rest of the
convolutional layer. Thus, the network receives a set of images of 128 × 128 pixels after their
preprocessing collapsing in a sequence of 3 convolutional layers. Convolutional filters contain 3 × 3
kernels with a ReLU activation function. In this way, the neurons' small size relative to the input
signal's entire receptive field is provided. Accordingly, it provides an opportunity to cover the local
features of the texture of pneumonia.</p>
      <p>In general, to preserve the necessary information about the textural features of pneumonia and at
the same time does not complicate the model with numerous convolutional layers, we offer a
threelayer CNN with dilated convolutions. The scheme of architecture is presented in Fig. 3.</p>
      <p>This approach should ensure consistent network resolution and minimize image space resolution
loss. As it is seen from Fig. 2, the dilated convolutional kernel can increase the kernel's receptive field
without increasing the kernel parameters and allows avoiding excessive loss of feature map
resolution. The ReLU activation function was utilized after each convolutional layer. Moreover, a
normalization layer follows each convolution so that the nonlinear transformation function's input
value falls into the region that is sensitive to the input data. Such an approach may avoid the problem
of gradient disappearance and speeds up network learning. A dropout layer with a parameter of 0.5
has been added to prevent the model from being retrained. This layer accidentally stops the training of
half of the neurons each time the training is updated and prevents hidden neurons' dependence on
specific inputs. Next, we have an averaged pooling layer, which calculates each feature map's average
value for the last original convolution layer. The resulting feature set is equal to the number of feature
maps of the last layer and is fed to two fully connected layers. The first dense layer has 256 nodes
with a ReLU activation function, the second – a classification layer with two nodes and a Sigmoid
activation function to compress the two-dimensional output in the probability distribution.</p>
    </sec>
    <sec id="sec-6">
      <title>4. Implementation</title>
      <p>The proposed architecture is tested as a binary classification problem on a new publicly available
dataset of CT images. The process of detecting early pneumonia using the new CNN architecture is
divided into three stages: data collection, preprocessing, and image classification.</p>
      <p>Due to the high level of stochasticity and uncertainty during neural network modeling, we
investigate the effectiveness of the proposed approach against pre-configured recognized neural
networks VGG19 [36], Inception_v4 [37], and MobileNet_v2 [38].
4.1.</p>
    </sec>
    <sec id="sec-7">
      <title>Dataset</title>
      <p>In this study, we employed the public dataset COVIDx CT-2B [8] with chest CT images collected
from 879 patients. COVIDx CT-2B contains 5,856 images with a size of 512 × 512 pixels,
categorized into 4,273 samples of pneumonia and 1,583 samples of normal lung condition. However,
to investigate early pneumonia properly, we took a subset of 3,458 CT samples with pneumonia and
normal labels. The targeted subset was divided into two categories: training and validation datasets
with 60% and 40% of the subset. It must be noted that the training and validation subsets comprise
unique CT images, i.e., they do not intersect.
4.2.</p>
    </sec>
    <sec id="sec-8">
      <title>Data preprocessing and data augmentation</title>
      <p>The next stage that introduces information technology for the early diagnosis of pneumonia is
preprocessing input images. First, the visual noise level was reduced, and the image contrast was
increased to improve the quality of the visual information for each input image. Moreover, we applied
Accuracy =</p>
      <p>,</p>
      <p>TP + TN
TP + TN + FP + FN</p>
      <p>TN
Specificity =
Precision =</p>
      <p>Recall =</p>
      <p>TP + FP</p>
      <p>TP
TP + FP
TP</p>
      <p>,</p>
      <p>TP + FN
False positive rate (FPR) =
False negative rate (FNR) =</p>
      <p>FP
FP + TN</p>
      <p>FN
,
,
F = 2 ⋅
1</p>
      <p>TP + FN
Precision ⋅ Recall</p>
      <p>Precision + Recall
intensity normalization and contrast-limited adaptive histogram alignment (CLAHE) to the targeted
CT scans described in [39] to investigate our architecture.</p>
      <p>Before performing computational experiments, the input images were normalized to the standard
normal distribution to increase the contrast of the image's edges. Upon completing image processing,
all images' sizes were reduced to 128 × 128 pixels for better bandwidth on the neural network's input
layer.</p>
      <p>The targeted pneumonia features are then extracted gradually by three convolutional layers, after
which the features are smoothed to form vectorized feature maps. Next, the generated vector of
features is passed to the last classification layer to attribute the image into a corresponding class.
Finally, we measure the effectiveness of the proposed approach by several statistical indicators on the
validation dataset.
4.3.</p>
    </sec>
    <sec id="sec-9">
      <title>Evaluation criteria and experiment setup</title>
      <p>Let us consider the number of real positive (P) and real negative (N) cases in the initial data. As is
known, the results of modeling and classification [16, 17, 40] are distributed as true positive (TP), true
negative (TN), false positive (FP), and false negative (FN) cases. In this paper, the effectiveness of the
proposed architecture together with other neural networks is evaluated by several fundamental
statistical indicators defined as</p>
      <p>To train the network, we used the Adam optimization method with overall 300 epochs. Based on
the experiment results in [41] and the ranking of feature training in [20, 21, 42], we initialized the
training parameters as follows: learning rate of 10−5 − 10−3 , weight decay of 0.5 ⋅ 10−3 , momentum of
0.85, and batch size of 512.</p>
      <p>Furthermore, following the software quality assessment guidelines from [14, 15], the
computational experiments were performed using Python v3.8 and TensorFlow v.1.15 [43] as a
backend. The hardware comprises an eight-core Ryzen 2700 and a single NVIDIA GeForce
GTX1080 CPU with 8 GB video memory. The code is open-sourced and available via [44].</p>
    </sec>
    <sec id="sec-10">
      <title>5. Experimental results</title>
      <p>This section compares the binary classification of chest CT images based on the proposed
architecture, VGG19, Inception_v4, and MobileNet_v2. Simultaneously, several experiments on the
dataset were performed to test the efficiency and reliability of each of the models used. The results are
presented separately through learning curves as well as accuracy and loss checks.</p>
      <p>The learning curve is calculated based on the learning dataset. It explains how well the model
learns. Simultaneously, the validation curve is calculated based on the validation dataset and explains
,
,
.</p>
      <p>(1)
(2)
(3)
(4)
(5)
(6)
(7)
how well the model approximates the validation data to an ideal forecast. The loss and validation loss
function is defined as the summation of the errors made for each sample of the training and validation
datasets. In general, a model that approximates observational data well is less likely underfitted or
overfitted. For detailed partitioning of images because of classification, the entanglement matrix for
each model is also presented.</p>
      <p>Fig. 4 presents the results of experiments conducted on the proposed architecture.
(c)
Figure 4: Accuracy (a) and loss (b) curves and confusion matrix (c) obtained by the proposed CNN</p>
      <p>In Fig. 4a, both the training and validation curves grow to 95.51% from epoch 0 to 20. After epoch
20, training accuracy continues a slight increase and eventually reaches a value of 99.11%;
meanwhile, the validation accuracy stables and stops at 96.10%.</p>
      <p>In Fig. 4b, training and loss validation curves demonstrate excellent convergence, indicating few
signs of the model's overfitting. By epoch 25, the loss function's value for both curves slows at 3.98%
and then gradually falls to 1.16% in epoch 300.</p>
      <p>Overall, the model based on our architecture could correctly identify 1,618 images as pneumonia; it
incorrectly assigned 111 images with healthy lungs to the pneumonia class (Fig. 4c). Lastly, 1,705 and 24
images were marked correctly as normal and incorrectly as pneumonia for the normal class, respectively.</p>
      <p>Fig. 5 depicts the results of experiments using the VGG19 model.
(c)
Figure 5: Accuracy (a) and loss (b) curves and confusion matrix (c) obtained by the VGG19 model</p>
      <p>According to Fig. 5a, the training and validation accuracy curves can be divided into two intervals.
There is a rapid increase in training accuracy to 84.12% and validation to 83.84% in this interval.
Then the accuracy moves to the second interval, where both curves grow steadily and eventually
gradually coincide to 87.37% and 86.92% in the 300 epochs, respectively. Indeed, from epoch 0 to 19,
the loss functions rapidly decrease to 2.94% and then steadily decrease until epoch 300, where the
training loss ends at 0.82% and validation – at 1.02% (Fig. 5b).</p>
      <p>The VGG19 model was able to classify 1,582 images as pneumonia and 147 images as normal
samples for the pneumonia class (Fig. 5c). For the normal class, 1,390 images were predicted as
normal and 339 images – as pneumonia.</p>
      <p>Fig. 6 illustrates the computational results with the Inception_v4 model.</p>
      <p>From Fig. 6a, the training and validation accuracy curves increase rapidly to the value of 92.79%
from epoch 0 to epoch 7. After epoch 7, the classification results stabilize at 97.13% and 94.59% for
the training and validation datasets, respectively. A similar convergence curve is shown by the loss
function curves, which sharply decrease from epoch 0 to 32 to 3.76% (Fig. 6b). Then both loss curves
fall evenly to 1.62% at the last epoch.</p>
      <p>We may observe in Fig. 6c that Inception_v4 correctly identified 1,650 samples for the pneumonia
class, while 79 normal images were incorrectly marked as pneumonia. Finally, for the normal class,
1,621 and 108 images were highlighted as normal pneumonia, respectively.
(c)
Figure 6: Accuracy (a) and loss (b) curves and confusion matrix (c) obtained by Inception_v4</p>
      <p>As it is seen in Fig. 7a, from epoch 0 to 16, the training accuracy curve starts from 82.14% and
increases sharply to 96.23%. Simultaneously, the validation accuracy sets off from 50.46% and
rapidly increases to 95.91% in 42 epochs. Then, both curves gradually reach 98.17% and 96.30% in
the 300 epochs, respectively. Noteworthy is the low convergence of the two curves throughout the
training, which may indicate the MobileNet_v2 model's high overfitting on the COVIDx CT-2B CT
image dataset. Nevertheless, MobileNet_v2 demonstrated an excellent convergence on the training
and validation losses (Fig. 7b). By epoch 44, both loss curves rapidly declined to 2.31%, slowly
coinciding to 1.13% at epoch 300.</p>
      <p>According to Fig. 8, the model correctly predicted 1,696 images but erred in 33 images for the
normal class. Simultaneously, 1,634 images were marked correctly as pneumonia, and 95 images
were identified incorrectly as normal for the pneumonia class.</p>
    </sec>
    <sec id="sec-11">
      <title>6. Discussion</title>
      <p>The presented work aims to study the identification of early-stage pneumonia on CT scans.
Overall, the evaluation of the four models' effectiveness was performed according to statistical
indicators (1)-(7). Tables 1-2 contain the values of the indicators obtained by the models of deep
learning VGG19, Inception_v4, MobileNet_v2, and the proposed architecture for visual comparison.</p>
      <p>As we see from Fig. 5-8 and Table 1, the learning and validation accuracy curves gradually
increase to the point of stability and reach a maximum of 300 epochs. It should be noted that the
VGG19 model shows notably worse performance compared to the Inception_v4, MobileNet_v2
TN
models, and the proposed architecture. Simultaneously, their training and validation curves stable
starting from epoch 20, and validation accuracy stops at 94.59% for Inception_v4, 96.30% for
MobileNet_v2, and 96.12% for our architecture.</p>
      <p>Likewise, it is noteworthy that the VGG19 model shows good convergence of the learning and
validation curves, which may indicate a low level of retraining of the model, and, consequently, good
practical applicability of such a model. Simultaneously, other targeted models may demonstrate high
validation accuracy due to retraining due to the small set of images. Experiments on a dataset with
more CT images may explain the high accuracy of validation with low convergence of the learning
and validation curves. Moreover, our approach showed shallow type I and type II errors, with 1.44%
and 6.11%, respectively. Therefore, according to all statistical indicators (Table 2), the model based
on our CNN architecture, which is schematically depicted in Fig. 3, shows satisfactory performance
efficiency and can be used for further investigation.</p>
    </sec>
    <sec id="sec-12">
      <title>7. Conclusion</title>
      <p>This paper describes the application of deep learning methods for the diagnosis of early
pneumonia on medical images. The proposed approach is based on CT scans classification with mild
early pneumonia features using a modified convolutional neural network. The network consists of
three convolutional layers with ReLU activation functions after each layer, followed by an averaged
pooling layer and two dense layers. An effective dilated convolution operation with different dilated
rates, combining features of various receptive fields, is utilized to detect visual deviations on the
images. This approach avoids losing spatial information about the targeted objects due to dilated
convolution operation while providing low computational losses due to the network's shallow depth.
Computational experiments on a set of CT images and statistical comparisons with recognized neural
networks in the field of computer vision have proven the computational efficiency of our architecture.
Overall, the proposed CNN architecture can be an effective tool for instant diagnosis in case of the
first suspicion of early pneumonia.</p>
      <p>Further research will be aimed at optimizing the proposed approach to improve statistical metrics.
It is also planned to apply additional optimization methods to tune the network's hyperparameters.</p>
    </sec>
    <sec id="sec-13">
      <title>8. References</title>
      <p>[1] G. A. Roth et al.: Global, regional, and national age-sex-specific mortality for 282 causes of
death in 195 countries and territories, 1980-2017: A systematic analysis for the Global Burden of
Disease Study 2017. Lancet. 392, 1736–1788 (2018). doi:10.1016/S0140-6736(18)32203-7
[2] C. Dye, R. C. H. Cheng, J. S. Dagpunar, B. G. Williams: The scale and dynamics of COVID-19
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