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<front>
<journal-meta>
<journal-id journal-id-type="pmc">CMC</journal-id>
<journal-id journal-id-type="nlm-ta">CMC</journal-id>
<journal-id journal-id-type="publisher-id">CMC</journal-id>
<journal-title-group>
<journal-title>Computers, Materials &#x0026; Continua</journal-title>
</journal-title-group>
<issn pub-type="epub">1546-2226</issn>
<issn pub-type="ppub">1546-2218</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">15655</article-id>
<article-id pub-id-type="doi">10.32604/cmc.2021.015655</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Classification and Categorization of COVID-19 Outbreak in Pakistan</article-title>
<alt-title alt-title-type="left-running-head">Classification and Categorization of COVID-19 Outbreak in Pakistan</alt-title>
<alt-title alt-title-type="right-running-head">Classification and Categorization of COVID-19 Outbreak in Pakistan</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author">
<name name-style="western">
<surname>Ayoub</surname>
<given-names>Amber</given-names>
</name>
<xref ref-type="aff" rid="aff-1">1</xref>
</contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western">
<surname>Mahboob</surname>
<given-names>Kainaat</given-names>
</name>
<xref ref-type="aff" rid="aff-1">1</xref>
</contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western">
<surname>Javed</surname>
<given-names>Abdul Rehman</given-names>
</name>
<xref ref-type="aff" rid="aff-2">2</xref>
</contrib>
<contrib id="author-4" contrib-type="author">
<name name-style="western">
<surname>Rizwan</surname>
<given-names>Muhammad</given-names>
</name>
<xref ref-type="aff" rid="aff-1">1</xref>
</contrib>
<contrib id="author-5" contrib-type="author">
<name name-style="western">
<surname>Gadekallu</surname>
<given-names>Thippa Reddy</given-names>
</name>
<xref ref-type="aff" rid="aff-2">2</xref>
</contrib>
<contrib id="author-6" contrib-type="author" corresp="yes">
<name name-style="western">
<surname>Abidi</surname>
<given-names>Mustufa Haider</given-names>
</name>
<xref ref-type="aff" rid="aff-3">3</xref>
<email>mabidi@ksu.edu.sa</email>
</contrib>
<contrib id="author-7" contrib-type="author">
<name name-style="western">
<surname>Alkahtani</surname>
<given-names>Mohammed</given-names>
</name>
<xref ref-type="aff" rid="aff-4">4</xref>
<xref ref-type="aff" rid="aff-5">5</xref>
</contrib>
<aff id="aff-1"><label>1</label><institution>Department of Computer Science, Kinnaird College for Women</institution>, <addr-line>Lahore, 54000</addr-line>, <country>Pakistan</country></aff>
<aff id="aff-2"><label>2</label><institution>Department of Cyber Security, Air University</institution>, <addr-line>Islamabad</addr-line>, <country>Pakistan</country></aff>
<aff id="aff-3"><label>3</label><institution>School of Information Technology and Engineering, Vellore Institute of Technology</institution>, <addr-line>Tamil Nadu</addr-line>, <country>India</country></aff>
<aff id="aff-4"><label>4</label><institution>Raytheon Chair for Systems Engineering, Advanced Manufacturing Institute, King Saud University</institution>, <addr-line>Riyadh, 11421</addr-line>, <country>Saudi Arabia</country></aff>
<aff id="aff-5"><label>5</label><institution>Industrial Engineering Department, College of Engineering, King Saud University</institution>, <addr-line>Riyadh, 11421</addr-line>, <country>Saudi Arabia</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1">&#x002A;Corresponding Author: Mustufa Haider Abidi. Email: <email>mabidi@ksu.edu.sa</email></corresp>
</author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2021-05-31"><day>31</day><month>05</month><year>2021</year></pub-date>
<volume>69</volume>
<issue>1</issue>
<fpage>1253</fpage>
<lpage>1269</lpage>
<history>
<date date-type="received"><day>01</day><month>12</month><year>2020</year></date>
<date date-type="accepted"><day>05</day><month>2</month><year>2021</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2021 Ayoub et al.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Ayoub et al.</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_CMC_15655.pdf"></self-uri>
<abstract>
<p>Coronavirus is a potentially fatal disease that normally occurs in mammals and birds. Generally, in humans, the virus spreads through aerial droplets of any type of fluid secreted from the body of an infected person. Coronavirus is a family of viruses that is more lethal than other unpremeditated viruses. In December 2019, a new variant, i.e., a novel coronavirus (COVID-19) developed in Wuhan province, China. Since January 23, 2020, the number of infected individuals has increased rapidly, affecting the health and economies of many countries, including Pakistan. The objective of this research is to provide a system to classify and categorize the COVID-19 outbreak in Pakistan based on the data collected every day from different regions of Pakistan. This research also compares the performance of machine learning classifiers (i.e., Decision Tree (DT), Naive Bayes (NB), Support Vector Machine, and Logistic Regression) on the COVID-19 dataset collected in Pakistan. According to the experimental results, DT and NB classifiers outperformed the other classifiers. In addition, the classified data is categorized by implementing a Bayesian Regularization Artificial Neural Network (BRANN) classifier. The results demonstrate that the BRANN classifier outperforms state-of-the-art classifiers.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>COVID-19</kwd>
<kwd>pandemic</kwd>
<kwd>neural network</kwd>
<kwd>BRANN</kwd>
<kwd>machine learning</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>The COVID-19 outbreak that appeared in Wuhan, China at the end of December 2019 was initially considered a pneumonia based on etiology. The virus soon spread worldwide at a rapid rate [<xref ref-type="bibr" rid="ref-1">1</xref>]. On January 30, 2020, the World Health Organization (WHO) declared the COVID-19 outbreak a Public Health Emergency of International Concern [<xref ref-type="bibr" rid="ref-2">2</xref>,<xref ref-type="bibr" rid="ref-3">3</xref>]. This virus has affected people in more than 209 nations around the world. The overheads of the coronavirus outbreak are continually increasing. When this virus first started to spread, there were approximately 600 confirmed cases in China. Globally, the number of people who have died because of this virus has been increasing daily [<xref ref-type="bibr" rid="ref-4">4</xref>]. The WHO determined that the most common symptoms of this virus are tiredness, fever, and dry cough [<xref ref-type="bibr" rid="ref-5">5</xref>]. Most people with these symptoms can recover without extraordinary treatment or prescriptions. However, some patients have more severe symptoms, such as a runny nose, sore throat, nasal congestion, and general or severe pain. Typically, 80% of people who became infected have severe symptoms [<xref ref-type="bibr" rid="ref-6">6</xref>]. In the United Kingdom, the National Health Service (NHS) has reported cases with more severe side effects, including high fever and persistent cough. The NHS recommends that anybody with these sorts of symptoms should self-quarantine for 7 to 14 days [<xref ref-type="bibr" rid="ref-7">7</xref>]. The infection spreads between individuals in close contact who are exposed to respiratory aerosol droplets that are emitted, primarily when an infected person coughs or sneezes, or shouts, sings, or talks.</p>
<p>For the most part, the droplets do not travel significant distances. Typically, they fall to the ground or onto immediate surfaces. Transmission may also occur through little droplets that can remain suspended in the air for longer periods of time [<xref ref-type="bibr" rid="ref-8">8</xref>]. People may become infected by touching a contaminated surface and then touching their face [<xref ref-type="bibr" rid="ref-9">9</xref>]. Outbreaks and rapid spread are highly expected, even before symptoms are noticeable, and from individuals who do not possess any symptoms of being infected by the virus, but they carry it [<xref ref-type="bibr" rid="ref-10">10</xref>]. <?A3B2 "fig1",5,"anchor"?><xref ref-type="fig" rid="fig-1">Fig. 1</xref> represents the worldwide spread of this coronavirus. It is believed that the virus did not spread in Pakistan the way it spread in other countries, like China, the USA, and Italy. Pakistan, with permeable borders, is sandwiched between two focal points of this coronavirus (China and Iran).</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Worldwide spread of COVID-19</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-1.png"/>
</fig>
<p>Recently, Pakistan has reinforced their precautions against COVID-19 by various strategies, such as detailing the use of national crisis readiness, compulsory thermal screenings at all entry points, observation of regional spread, contact tracing, and information assortment through various sources. Testing has been reinforced by bringing in Polymerase Chain Reaction units for SARS-COV-2 diagnostics [<xref ref-type="bibr" rid="ref-11">11</xref>]. Assets have been deployed to setup quarantine centers in preparation of expected cases. Locations for these stations include a few urban areas, emergency clinics, and reconnaissance units that have been actuated to track the contacts of affirmed cases, as suggested by the WHO [<xref ref-type="bibr" rid="ref-10">10</xref>]. The COVID-19 infection has spread to more than 213 nations, and as of April 17, 2020, there were 1,995,983 confirmed cases and 131,037 deaths [<xref ref-type="bibr" rid="ref-12">12</xref>].</p>
<p>Pakistan revealed its initial two positive cases on February 26, 2020. These cases were connected to travel to Iran [<xref ref-type="bibr" rid="ref-13">13</xref>]. The number of positive cases across the nation rose to 7,025 on April 17<sup><roman>th</roman></sup>, 2020: 3,276 positive cases and 135 deaths in Punjab, 2,008 cases in Sindh, 993 cases in Khyber Pakhtunkhwa, 303 cases in Balochistan, 237 cases in Gilgit Baltistan, 154 cases in Islamabad Capital Territory (ICT), and 46 cases in Azad Jammu Kashmir [<xref ref-type="bibr" rid="ref-14">14</xref>].</p>
<p>The number of positive cases is rising rapidly every day. In fact, in most countries, the number of cases is probably much higher than recorded, due to limited testing [<xref ref-type="bibr" rid="ref-14">14</xref>,<xref ref-type="bibr" rid="ref-15">15</xref>]. <?A3B2 "fig2",5,"anchor"?><xref ref-type="fig" rid="fig-2">Fig. 2</xref> shows the number of total coronavirus cases in Pakistan. The exponential increase in cases has driven the Government to force total and severe lockdowns in numerous urban areas [<xref ref-type="bibr" rid="ref-16">16</xref>].</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>COVID-19 cases in Pakistan</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-2.png"/>
</fig>
<p><?A3B2 "fig3",5,"anchor"?><xref ref-type="fig" rid="fig-3">Fig. 3</xref> shows the total number of COVID-19 cases, the total number of deaths, and the total number of recovered cases in different regions of Pakistan.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Total recovered cases, deaths, and confirmed cases in Pakistan</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-3.png"/>
</fig>
<sec id="s1_1">
<label>1.1</label>
<title>Problem Statement</title>
<p>Deaths due to COVID-19 are increasing day by day in Pakistan. The nature of the COVID-19 outbreak differs in various countries. For example, in China, Iran, and France, COVID-19 outbreak is characterized by extremely high numbers and severe cases. The outbreak severity can be detected through an increase in the number of deaths. Thus, in this research, the nature of the outbreak is detected with the help of the COVID-19 dataset for the past few months in Pakistan collected by the Government. If the nature of the COVID-19 outbreak can be detected from the past months&#x2019; death rate, then with the help of standard operating procedure and precautionary measures, the death rate can be reduced in the coming months in Pakistan. For outbreak detection, the COVID-19 dataset is first classified with machine learning (ML) classifiers. Then the classified dataset is categorized into severe and normal COVID-19 outbreaks, using the Bayesian regularized artificial neural network (BRANN) classifier.</p>
</sec>
<sec id="s1_2">
<label>1.2</label>
<title>Motivation and Contribution</title>
<p>The COVID-19 death rate is high and is increasing day by day globally [<xref ref-type="bibr" rid="ref-17">17</xref>]. This research is intended to classify and categorize the nature of the outbreak in Pakistan using machine learning classifiers. In this study, a dataset of COVID-19 patients from different regions (primarily populated regions) of Pakistan is preprocessed and then classified to understand the nature of the virus and its outbreak in Pakistan. Machine learning classifiers: Decision Tree (DT), Naive Bayes (NB), Support Vector Machine (SVM), and Logistic Regression (LR) are implemented, and results are compared based on performance measures (<italic>i.e</italic>., accuracy, precision, and recall). The comparison of machine learning classifiers indicates that the DT and NB classifiers return 100% accuracy. Classified data is input to the BRANN to categorize the COVID-19 outbreak in Pakistan to determine if the nature of the outbreak will be normal or severe.</p>
<p>The remainder of this paper is organized as follows. Section 2 discusses the related work. Section 3 provides the proposed methodology to classify and categorize COVID patients. Section 4 provides the experimental analysis and results. Conclusions and suggestions for future work are presented in Section 5.</p>
</sec>
</sec>
<sec id="s2">
<label>2</label>
<title>Literature Review</title>
<p>COVID-19 virus was initially discovered in December 2019 in the population of Wuhan, China. Later, it spread to other regions of China and other parts of the world [<xref ref-type="bibr" rid="ref-18">18</xref>]. Various papers and studies have applied different techniques on COVID-19 datasets. In this section, several studies that investigate the application of machine learning algorithms on different diseases are discussed.</p>
<p>SVM and Mutual Information techniques have been applied to classify genes [<xref ref-type="bibr" rid="ref-19">19</xref>]. In that study, the authors claimed that the SVM classifier achieved the best mean accuracy rate. In addition, the fuzzy KNN approach has been used on a Parkinson&#x2019;s dataset to help generate a diagnostic system that will make better clinical diagnostic decisions [<xref ref-type="bibr" rid="ref-20">20</xref>]. Here, researchers utilized different machine learning techniques to propose a novel method. They computed significant features by implementing machine learning techniques to improve the accuracy rate of predicting cardiovascular disease. Their prediction model gives 88.7% accuracy [<xref ref-type="bibr" rid="ref-21">21</xref>]. In 2015, a combination of SVM and fuzzy logic was applied for the risk classification of diabetes. Fuzzy reasoning was used to predict the risk factors of (Type-II) diabetes, and an SVM was used to generate fuzzy rules from the Pima diabetes dataset [<xref ref-type="bibr" rid="ref-22">22</xref>].</p>
<p>Other researchers used the NB classifier to improve the accuracy of predicting heart disease [<xref ref-type="bibr" rid="ref-23">23</xref>]. Different machine learning techniques, such as Artificial Neural Network (ANN), random forest (RF), and K-means clustering techniques were implemented to predict diabetes. The ANN technique provided the best accuracy rate (75.7%) in the prediction of diabetes [<xref ref-type="bibr" rid="ref-24">24</xref>]. Some researchers also implemented machine learning techniques to predict hypertension outcomes based on medical data. In that study, the researchers evaluated four classifiers, <italic>i.e</italic>., SVM, DT, RF, and XGBoost, to meet the desired accuracy level of the prediction system. XGBoost produced the best results among the four classifiers and provided a system accuracy of 94.36%. [<xref ref-type="bibr" rid="ref-25">25</xref>,<xref ref-type="bibr" rid="ref-26">26</xref>].</p>
<p>Other researchers used histopathological data patients who had a lung lobectomy to treat adenocarcinoma. For both &#x201C;accidental&#x201D; models, adjacent to malignancies, the lungs show edema and fundamental proteinaceous exudates as huge protein globules [<xref ref-type="bibr" rid="ref-27">27</xref>]. The researchers documented vascular joins with blazing gatherings of fibrinoid content, multinucleated goliath cells, and pneumocyte hyperplasia. In addition, some researchers used the ANFIS model to estimate landslide susceptibility and to develop a model to predict landslides. The ANFIS model was used to train and validate the dataset [<xref ref-type="bibr" rid="ref-28">28</xref>]. Different ML classifiers have been used to develop predictive models [<xref ref-type="bibr" rid="ref-29">29</xref>,<xref ref-type="bibr" rid="ref-30">30</xref>]. In 2017, researchers proposed an SVM and fuzzy logic-based system automatically block pornographic content on the web. SVMs have also been used in statistical learning approaches to classify hypothesis test data and compute the error rate using the Gaussian-density function [<xref ref-type="bibr" rid="ref-31">31</xref>,<xref ref-type="bibr" rid="ref-32">32</xref>].</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Proposed Methodology</title>
<p>Machine learning classifiers, DT, NB, LR, and SMV, are used to classify and categorize the COVID-19 outbreak in different regions of Pakistan. The proposed system is shown in <?A3B2 "fig4",5,"anchor"?><xref ref-type="fig" rid="fig-4">Fig. 4</xref>.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Proposed system for COVID-19 data classification and prediction</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-4.png"/>
</fig>
<sec id="s3_1">
<label>3.1</label>
<title>Dataset</title>
<p>The &#x201C;Corona-Virus Pakistan Dataset 2020&#x201D; was downloaded from Kaggle [<xref ref-type="bibr" rid="ref-33">33</xref>]. The dataset contains 13 features that represent the lab tests of suspected, confirmed, and fatal COVID-19 cases per day in the most populated regions of Pakistan (<?A3B2 "tbl1",5,"anchor"?><xref ref-type="table" rid="table-1">Tab. 1</xref>). The dataset features are listed in <?A3B2 "tbl2",5,"anchor"?><xref ref-type="table" rid="table-2">Tab. 2</xref>. The dataset has 315 rows and 13 columns, <italic>i.e</italic>., 11089 data items. The dataset was checked for null and missing values of categorical features; none were found. The data distribution of categorical features, such as Date and Province, are shown in <?A3B2 "fig5",5,"anchor"?><xref ref-type="fig" rid="fig-5">Fig. 5</xref>.</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>Selected regions of Pakistan in dataset</title>
</caption>
<table>
<colgroup width="10">
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Regions</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>AJK</td>
</tr>
<tr>
<td>2.</td>
<td>Balochistan</td>
</tr>
<tr>
<td>3.</td>
<td>GB</td>
</tr>
<tr>
<td>4.</td>
<td>ICT</td>
</tr>
<tr>
<td>5.</td>
<td>KP</td>
</tr>
<tr>
<td>6.</td>
<td>Punjab</td>
</tr>
<tr>
<td>7.</td>
<td>Sindh</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="table-2">
<label>Table 2</label>
<caption>
<title>Features of COVID-19 dataset</title>
</caption>
<table>
<colgroup width="17">
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Features</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Date</td>
</tr>
<tr>
<td>2.</td>
<td>Province old</td>
</tr>
<tr>
<td>3.</td>
<td>Suspected cases last date</td>
</tr>
<tr>
<td>4.</td>
<td>Suspected cases last 24 h</td>
</tr>
<tr>
<td>5.</td>
<td>Suspected cases cumulative</td>
</tr>
<tr>
<td>6.</td>
<td>Lab tests last 24 h</td>
</tr>
<tr>
<td>7.</td>
<td>Lab tests cumulative</td>
</tr>
<tr>
<td>8.</td>
<td>Confirmed cases last date</td>
</tr>
<tr>
<td>9.</td>
<td>Confirmed cases last 24 h</td>
</tr>
<tr>
<td>10.</td>
<td>Confirmed cases cumulative</td>
</tr>
<tr>
<td>11.</td>
<td>Deaths last date</td>
</tr>
<tr>
<td>12.</td>
<td>Deaths last 24 h</td>
</tr>
<tr>
<td>13.</td>
<td>Deaths cumulative</td>
</tr>
</tbody>
</table>
 
</table-wrap>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Data distribution of categorical features</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-5.png"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Dataset Preprocessing</title>
<p>Preprocessing is necessary to avoid misclassified results and errors [<xref ref-type="bibr" rid="ref-34">34</xref>,<xref ref-type="bibr" rid="ref-35">35</xref>]. Data preprocessing involved data preparation, data exploration, data distribution, and replacing categorical features. Preprocessing resulted in a clean dataset suitable for classification. This preprocessed dataset is fed to the machine learning classifiers to produce classified results [<xref ref-type="bibr" rid="ref-36">36</xref>].</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Experimental Analysis and Results</title>
<p>For the classification of the dataset, Google Colab was used for python coding, and dataset categorization was implemented through MATLAB. The dataset was split into training (70%) and testing (30%) sets. The metrics used in this work are as follows.</p>
<p><disp-formula id="eqn-1">
<label>(1)</label>
<mml:math id="mml-eqn-1" display="block"><mml:mi>A</mml:mi><mml:mi>c</mml:mi><mml:mi>c</mml:mi><mml:mi>u</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mi>F</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mi>T</mml:mi><mml:mi>N</mml:mi><mml:mo>+</mml:mo><mml:mi>F</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:mfrac></mml:math>
</disp-formula></p>
<p><disp-formula id="eqn-2">
<label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:mi>P</mml:mi><mml:mi>e</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mi>F</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:mfrac></mml:math>
</disp-formula></p>
<p><disp-formula id="eqn-3">
<label>(3)</label>
<mml:math id="mml-eqn-3" display="block"><mml:mi>R</mml:mi><mml:mi>e</mml:mi><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mi>F</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:mfrac></mml:math>
</disp-formula></p>
<sec id="s4_1">
<label>4.1</label>
<title>Decision Tree Classifier</title>
<p>The COVID-19 dataset was classified using the DT ID3 classifier. The results are shown in <?A3B2 "tbl3",5,"anchor"?><xref ref-type="table" rid="table-3">Tab. 3</xref>. As can be seen, this classifier achieved 100% accuracy, precision, and recall. The confusion matrix for the DT classifier is plotted in <?A3B2 "fig6",5,"anchor"?><xref ref-type="fig" rid="fig-6">Fig. 6a</xref>.</p>
<table-wrap id="table-3">
 
<label>Table 3</label>
<caption>
<title>Results achieved for decision tree classifier</title>
</caption>
<table>
<colgroup width="20">
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Measures</th>
<th>Result</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Accuracy</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
<tr>
<td>2.</td>
<td>Precision</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
<tr>
<td>3.</td>
<td>Recall</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Naive Bayes Classifier</title>
<p>The NB Classifier is implemented on the COVID-19 dataset because it is a continuous dataset. The NB classifier also achieved 100% accuracy (<?A3B2 "tbl4",5,"anchor"?><xref ref-type="table" rid="table-4">Tab. 4</xref>). The confusion matrix for this classifier is shown in <xref ref-type="fig" rid="fig-6">Fig. 6b</xref>.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Logistic Regression Classifier</title>
<p>The LR classifier has been used successfully to predict various diseases [<xref ref-type="bibr" rid="ref-37">37</xref>,<xref ref-type="bibr" rid="ref-38">38</xref>]. The testing data is predicted for the first 25 entries. The histogram of the predictions is shown in <?A3B2 "fig7",5,"anchor"?><xref ref-type="fig" rid="fig-7">Fig. 7</xref>. <?A3B2 "fig8",5,"anchor"?><xref ref-type="fig" rid="fig-8">Figs. 8a</xref> and <xref ref-type="fig" rid="fig-8">8b</xref> depict the confusion matrices for LR and SVM classifiers respectively. The Receiver Operating Characteristics (ROC) plot for the COVID19 dataset, based on true positive rate and false positive rate, is shown in <?A3B2 "fig9",5,"anchor"?><xref ref-type="fig" rid="fig-9">Fig. 9a</xref>. The LR ROC curve covers 91% of the area. The results obtained for LR are listed in <?A3B2 "tbl5",5,"anchor"?><xref ref-type="table" rid="table-5">Tab. 5</xref>.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Confusion matrices for both classifiers (a) Decision tree classifier (b) Naive Bayesian classifier</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-6.png"/>
</fig>
<table-wrap id="table-4">
<label>Table 4</label>
<caption>
<title>Results achieved for Naive Bayesian classifier</title>
</caption>
<table>
<colgroup width="20">
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Measures</th>
<th>Result</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Accuracy</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
<tr>
<td>2.</td>
<td>Precision</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
<tr>
<td>3.</td>
<td>Recall</td>
<td>1.0 &#x003D;&#x003E; 100%</td>
</tr>
</tbody>
</table>
 
</table-wrap>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Histogram of predicted probabilities</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-7.png"/>
</fig>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>Confusion matrices for (a) LR and (b) SVM classifiers</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-8.png"/>
</fig>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>ROC Curve for (a) LR and (b) SVM classifiers</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-9.png"/>
</fig>
<table-wrap id="table-5">
<label>Table 5</label>
<caption>
<title>Results achieved for logistic regression classifier</title>
</caption>
<table>
<colgroup width="20">
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Measures</th>
<th>Result (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Accuracy</td>
<td>91</td>
</tr>
<tr>
<td>2.</td>
<td>Precision</td>
<td>86</td>
</tr>
<tr>
<td>3.</td>
<td>Recall</td>
<td>94</td>
</tr>
</tbody>
</table>
 
</table-wrap>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Support Vector Machine Classifier</title>
<p>The linear SVM classifier achieved precision of 98%. The ROC curve for multiclass SVM is depicted in <xref ref-type="fig" rid="fig-9">Fig. 9b</xref>. It shows that the ROC curve for class-1 covers 100% of the area, while class-2 covers 88% of the area. <?A3B2 "tbl6",5,"anchor"?><xref ref-type="table" rid="table-6">Tab. 6</xref> lists the SVM results using formulas (1&#x2013;3).</p>
<table-wrap id="table-6">
<label>Table 6</label>
<caption>
<title>Results achieved for SVM classifier</title>
</caption>
<table>
<colgroup width="20">
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Measures</th>
<th>Result (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Accuracy</td>
<td>97</td>
</tr>
<tr>
<td>2.</td>
<td>Precision</td>
<td>98</td>
</tr>
<tr>
<td>3.</td>
<td>Recall</td>
<td>96</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>DT and NB classifiers yielded 100% accuracy for this dataset. <?A3B2 "tbl7",5,"anchor"?><xref ref-type="table" rid="table-7">Tab. 7</xref> shows the results for the DT, NB, LR, and SVM classifiers. The classified dataset is input to an ANN (Section 4.5) for data categorization.</p>
<table-wrap id="table-7">
<label>Table 7</label>
<caption>
<title>Comparison of classification results</title>
</caption>
<table>
<colgroup width="24">
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No</th>
<th>Classifier</th>
<th>Accuracy (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Decision tree</td>
<td>100</td>
</tr>
<tr>
<td>2.</td>
<td>Naive Bayesian</td>
<td>100</td>
</tr>
<tr>
<td>3.</td>
<td>Logistic regression</td>
<td>91</td>
</tr>
<tr>
<td>4.</td>
<td>Support vector machine</td>
<td>97</td>
</tr>
</tbody>
</table>
 
</table-wrap>
</sec>
<sec id="s4_5">
<label>4.5</label>
<title>Artificial Neural Network</title>
<p>In the Artificial Neural Network training classifier, Bayesian regularization is used to categorize the search space into two classes: normal outbreak and severe outbreak. This classifier is used to categorize the nature of the COVID-19 outbreak in Pakistan based on data collected from various regions. <?A3B2 "fig10",5,"anchor"?><xref ref-type="fig" rid="fig-10">Fig. 10</xref> shows the COVID-19 dataset simulation architecture.</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>COVID-19 dataset simulation architecture</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-10.png"/>
</fig>
<table-wrap id="table-10">
<label>Algorithm 1</label>
<caption>
<title>Algorithm for Classification</title>
</caption>
<table>
<colgroup>
<col/>
</colgroup>
<tbody>
<tr>
<td><italic>1</italic>. <italic>Provide the Input Parameters</italic></td>
</tr>
<tr>
<td><italic>2</italic>. <italic>Data Preprocessing</italic></td>
</tr>
<tr>
<td><italic>3</italic>. <italic>Checking of Conditional Probability</italic></td>
</tr>
<tr>
<td><italic>4</italic>. <bold><italic>While</italic></bold> <italic>(error-rate &#x003C; threshold-value)</italic></td>
</tr>
<tr>
<td><italic>5</italic>. <italic>Training and Testing of Model</italic></td>
</tr>
<tr>
<td><italic>6</italic>. <bold><italic>If</italic></bold> <italic>error-rate &#x003E; threshold-value</italic></td>
</tr>
<tr>
<td><italic>7</italic>. <italic>Back Propagation</italic></td>
</tr>
<tr>
<td><italic>8</italic>. <italic>Weight setting</italic></td>
</tr>
<tr>
<td><italic>9</italic>. <bold><italic>End If</italic></bold></td>
</tr>
<tr>
<td><italic>10</italic>. <bold><italic>End While</italic></bold></td>
</tr>
<tr>
<td><italic>11</italic>. <italic>Neural Network&#x2019;s Bayesian regularization</italic></td>
</tr>
<tr>
<td><italic>12</italic>. <italic>Classification Results</italic></td>
</tr>
<tr>
<td><italic>13</italic>. <italic>Classification of the Outbreak Nature</italic></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The output is labeled 0 or and 1, where 0 represents a normal outbreak and 1 represents a severe outbreak. The output is labeled based on input parameter values. <?A3B2 "tbl8",5,"anchor"?><xref ref-type="table" rid="table-8">Tab. 8</xref> shows the classified, important ranking features of the dataset as inputs selected for the neural network. The Error Histogram and Regression values are given in <?A3B2 "tbl9",5,"anchor"?><xref ref-type="table" rid="table-9">Tab. 9</xref>.</p>
<table-wrap id="table-8">
<label>Table 8</label>
<caption>
<title>Selected inputs of COVID-19 dataset</title>
</caption>
<table>
<colgroup width="16">
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Sr. No.</th>
<th>Inputs</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.</td>
<td>Province old</td>
</tr>
<tr>
<td>2.</td>
<td>Suspected cases cumulative</td>
</tr>
<tr>
<td>3.</td>
<td>Lab tests cumulative</td>
</tr>
<tr>
<td>4.</td>
<td>Confirmed cases cumulative</td>
</tr>
<tr>
<td>5.</td>
<td>Deaths cumulative</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In <xref ref-type="table" rid="table-9">Tab. 9</xref>, from the 852 dataset entries, 596 instances are selected for training, 128 are selected for validation, and 128 are selected for testing. Furthermore, 50 hidden neurons with one epoch are used for the neural network. The confusion matrix results demonstrated that the actual class predicts the predicted class with 99.88% accuracy. This indicates that the BRANN classifier predicts the results accurately for this dataset. <xref ref-type="table" rid="table-9">Tab. 9</xref> shows that the BRANN classifier correctly categorized 128 data items for the validation and testing process.</p>
<table-wrap id="table-9">
<label>Table 9</label>
<caption>
<title>Bayesian regularization results</title>
</caption>
<table>
<colgroup width="26">
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Bayesian regularization</th>
<th>Samples</th>
<th>MSE</th>
<th>Regression</th>
</tr>
</thead>
<tbody>
<tr>
<td>Training</td>
<td>596</td>
<td>4.55463e&#x2013;5</td>
<td>9.99908e&#x2013;1</td>
</tr>
<tr>
<td>Validation</td>
<td>128</td>
<td>0.00000e&#x2013;0</td>
<td>0.00000e&#x2013;0</td>
</tr>
<tr>
<td>Testing</td>
<td>128</td>
<td>8.41366e&#x2013;0</td>
<td>2.75570e&#x2013;1</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Error histogram of Bayesian regularization ANN algorithm</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-11.png"/>
</fig>
<fig id="fig-12">
<label>Figure 12</label>
<caption>
<title>Bayesian regularization regression plot</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-12.png"/>
</fig>
<p>From <?A3B2 "fig11",5,"anchor"?><xref ref-type="fig" rid="fig-11">Fig. 11</xref>, it is evident BRANN has 0 errors. This indicates that the neural network fits the data perfectly. <?A3B2 "fig12",5,"anchor"?><xref ref-type="fig" rid="fig-12">Fig. 12</xref> shows how accurately a neural network determines the function for regression to analyze the dataset. The actual network details are shown in comparison with the target output. How accurately a model fits the data is represented through this colored line shown in the <xref ref-type="fig" rid="fig-12">Fig. 12</xref>. This line should closely intersect the real output from the left to the right corner of the regression plot. The above figure shows that the COVID-19 dataset closely fits in the BRANN model.</p>
<p><?A3B2 "fig13",5,"anchor"?><xref ref-type="fig" rid="fig-13">Fig. 13</xref> shows the training state of the BRANN (gradient, mu, parameters, the sum of squared parameters, and validation checks). They all achieve 1000 epochs, which indicates the good performance of the dataset. <?A3B2 "fig14",5,"anchor"?><xref ref-type="fig" rid="fig-14">Fig. 14</xref> represents the mean square error of the BRANN. The blue and red training lines represents the testing mean square, and the dotted line represents the 1000 epochs. The figure listed below shows the best training performance of the BRANN.</p>
<fig id="fig-13">
<label>Figure 13</label>
<caption>
<title>Training state of BRANN</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-13.png"/>
</fig>
<fig id="fig-14">
<label>Figure 14</label>
<caption>
<title>Mean square error of neural network BRANN</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-14.png"/>
</fig>
<p><?A3B2 "fig15",5,"anchor"?><xref ref-type="fig" rid="fig-15">Fig. 15</xref> is the confusion matrix of the BRANN classifier. The BRANN classifier gives 99.88% accuracy for training, testing, and validation of the classifier on the COVID dataset for Pakistan. The outcome of the dataset is divided into two classes 0 and 1, where 0 denotes that the outbreak is normal, and 1 represents that the outbreak is severe. Five potential features are selected as input according to their importance that is classified through ML classifiers.</p>
<fig id="fig-15">
<label>Figure 15</label>
<caption>
<title>BRANN confusion matrix</title>
</caption><graphic mimetype="image" mime-subtype="png" xlink:href="CMC_15655-fig-15.png"/>
</fig>
<p>The COVID-19 dataset for Pakistan is classified through machine learning techniques, and their accuracy results are compared. The results show that the NB classifier gives 100% accuracy for this dataset. Therefore, the BRANN best fits the dataset and categorizes the dataset into a normal class and severe class for the COVID-19 outbreak in Pakistan.</p>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusion</title>
<p>The proposed system categorizes the COVID-19 outbreak in Pakistan based on a dataset collected in different regions of Pakistan. Machine learning classifiers play a vital role in the classification, categorization, and prediction of dangerous diseases such as COVID-19. With the help of various machine learning techniques, the loss from COVID19 can be minimized in the upcoming months in Pakistan. First, we classified the COVOD-19 dataset using different machine learning classifiers. Then, the BRANN classifier was used to categorize the nature of outbreak as normal or severe. The experiments show that the BRANN provides a best fit regression plot with minimal error rate. In future, the proposed model can be further tested on a larger dataset [<xref ref-type="bibr" rid="ref-39">39</xref>,<xref ref-type="bibr" rid="ref-40">40</xref>] to test its scalability.</p>
</sec>
</body>
<back>
<fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> The authors are grateful to the Raytheon Chair for Systems Engineering for funding.</p>
</fn>
<fn fn-type="conflict">
<p><bold>Conflicts of Interest:</bold> The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</fn>
</fn-group>
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