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<front>
<journal-meta>
<journal-id journal-id-type="pmc">IASC</journal-id>
<journal-id journal-id-type="nlm-ta">IASC</journal-id>
<journal-id journal-id-type="publisher-id">IASC</journal-id>
<journal-title-group>
<journal-title>Intelligent Automation &#x0026; Soft Computing</journal-title>
</journal-title-group>
<issn pub-type="epub">2326-005X</issn>
<issn pub-type="ppub">1079-8587</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">24538</article-id>
<article-id pub-id-type="doi">10.32604/iasc.2022.024538</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Extreme Learning Bat Algorithm in Brain Tumor Classification</article-title><alt-title alt-title-type="left-running-head">Extreme Learning Bat Algorithm in Brain Tumor Classification</alt-title><alt-title alt-title-type="right-running-head">Extreme Learning Bat Algorithm in Brain Tumor Classification</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author">
<name name-style="western"><surname>Sreekanth</surname><given-names>G. R.</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>Alrasheedi</surname><given-names>Adel Fahad</given-names></name>
<xref ref-type="aff" rid="aff-2">2</xref>
</contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Venkatachalam</surname><given-names>K.</given-names></name>
<xref ref-type="aff" rid="aff-3">3</xref>
</contrib>
<contrib id="author-4" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Abouhawwash</surname><given-names>Mohamed</given-names></name>
<xref ref-type="aff" rid="aff-4">4</xref>
<xref ref-type="aff" rid="aff-5">5</xref><email>abouhaww@msu.edu</email>
</contrib>
<contrib id="author-5" contrib-type="author">
<name name-style="western"><surname>Askar</surname><given-names>S. S.</given-names></name>
<xref ref-type="aff" rid="aff-2">2</xref>
</contrib>
<aff id="aff-1"><label>1</label><institution>Department of Computer Science and Engineering, Kongu Engineering College</institution>, <addr-line>Erode, 638060</addr-line>, <country>India</country></aff>
<aff id="aff-2"><label>2</label><institution>Department of Statistics and Operations Research, College of Science, King Saud University</institution>, <addr-line>Riyadh, 11451</addr-line>, <country>Saudi Arabia</country></aff>
<aff id="aff-3"><label>3</label><institution>Department of Applied Cybernetics, Faculty of Science, University of Hradec Kr&#x00E1;lov&#x00E9;</institution>, <addr-line>Hradec Kr&#x00E1;lov&#x00E9;, 50003</addr-line>, <country>Czech Republic</country></aff>
<aff id="aff-4"><label>4</label><institution>Department of Mathematics, Faculty of Science, Mansoura University</institution>, <addr-line>Mansoura, 35516</addr-line>, <country>Egypt</country></aff>
<aff id="aff-5"><label>5</label><institution>Department of Computational Mathematics, Science, and Engineering (CMSE), Michigan State University</institution>, <addr-line>East Lansing, MI, 48824</addr-line>, <country>USA</country></aff>
</contrib-group><author-notes><corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Mohamed Abouhawwash. Email: <email>abouhaww@msu.edu</email></corresp></author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2022-04-13"><day>13</day>
<month>04</month>
<year>2022</year></pub-date>
<volume>34</volume>
<issue>1</issue>
<fpage>249</fpage>
<lpage>265</lpage>
<history>
<date date-type="received"><day>21</day><month>10</month><year>2021</year></date>
<date date-type="accepted"><day>10</day><month>1</month><year>2022</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2022 Sreekanth et al.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Sreekanth 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_IASC_24538.pdf"></self-uri>
<abstract>
<p>Brain tumor is considered as an unusual cell that presents and grows in the brain. Similarly, it may lead to cancerous or non-cancerous. So, to improve the survival rate of the patient and to give the best treatment at the earliest, it&#x2019;s very necessary for early prediction of tumor. Accurate classification of tumor in the brain is important for improving the diagnosis. In accordance with that, various research programs are invited for the better treatment of the patients. Machine Learning (ML) algorithms are applied to help the health associates for the classification of brain tumor and present their diagnosis. This paper focuses primarily on brain tumors of meningioma, Glioma, and pituitary. Moreover, the manual evaluation of Magnetic Resonance Image (MRI) is a difficult process. For accessing MRI brain image in the aspects of its volume, boundaries, detecting tumor size, shape and classification are the challenging tasks. To overcome these difficulties, this paper proposes a novel approach in feature selection using bat algorithm with Extreme Learning Machine (ELM) and for enhancing the accurate classification by Transfer Learning (BA&#x2009;&#x002B;&#x2009;ELM-TL). Here the data is pre-processed to remove noises; Stationary Wavelet Transforms (SWT) is used to extract the features from the MRI brain image. This paper has collected the dataset from fig share, whole brain atlas and TCGA-GBM data set. Therefore, it is proved that 92.6&#x0025; is the accuracy of Bat algorithm, 90.4&#x0025; for Extreme Learning algorithm and 98.87&#x0025; for BA&#x2009;&#x002B;&#x2009;ELM-TL.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>MRI</kwd>
<kwd>brain tumor</kwd>
<kwd>wavelet transform</kwd>
<kwd>bat algorithm</kwd>
<kwd>ELM</kwd>
<kwd>transfer learning</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>In medical field, the development of technology gives prompt diagnosis of MRI brain tumors, and it can be accessed by the tools of Computer Aided Diagnosis (CAD), MRI. Though, it can be identified by humans, it is difficult to monitor the huge volume of data for them. In brain tumor, detection at the early stage is done by expert in radiologist [<xref ref-type="bibr" rid="ref-1">1</xref>]. The diagnostics of brain tumor is dependent on the examination of the tissue, for which biopsy is needed. In order to get precise analysis, a diagnostic tool is required. The classification from MRI images is done using machine learning and artificial intelligence. In the field of medicine, these tools support for various medical branches including medical image processing. Different algorithms in machine learning are used in tumor image classification, and segmentation of image.</p>
<p>For brain tumor classification, this paper has used three well-known types of tumors like meningioma, glioma, and tumors in pituitary. The meningioma tumor arises from the membrane which surrounds the brain and mid part of the nervous system. Next, Glioma is initiated from the brain tissue. Lastly, tumors at Pituitary are similar to lumps that arise inside the skull [<xref ref-type="bibr" rid="ref-2">2</xref>&#x2013;<xref ref-type="bibr" rid="ref-5">5</xref>]. Automatic computer aided diagnostics tools are used to process the clinical medical data such as detection of tumor, its location, size, and classification. Using MRI for the treatment process generates contrast in image and has non-invasive property [<xref ref-type="bibr" rid="ref-6">6</xref>].</p>
<p>The most important task in understanding the image is segmentation of image and only after that it helps in terms of feature extraction, feature selection, and implication in many real-life medical applications. For example, it can be used in the estimation of tumor size, tumor volume, classification of tissue in the brain image, and location of tumors and image registration. For monitoring clinical image data, the identification of tumor in the brain image is a critical task. However, recently there are numerous automatic tumor detection techniques that are proposed for brain tumor classification using deep learning algorithms.</p>
<p>To overcome these issues the proposed work has implemented feature selection using bat algorithm with extreme learning machine technique for accurate MRI classification of brain image using transfer learning. The contributions of the proposed work are given below:<list list-type="order"><list-item>
<p>To implement an enhanced version of feature selection using Bat algorithm with extreme learning machine via transfer learning.</p></list-item><list-item>
<p>Proposed work (BA&#x2009;&#x002B;&#x2009;ELM-TL) generates the classification of brain image and establish better performance metric measures using Figshare dataset.</p></list-item></list></p>
<p>Rest of the research article is written as follows: Section 2 discusses the literature work on various classification of brain image processing and methods. Section 3 shows the algorithm process and general working methodology of proposed work. Section 4 evaluates the implementation and results of the study. Section 5 concludes the work and discusses the result evaluation.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Review of Literature</title>
<p>In the medical field, the image analysis and the image processing of brain MRI are the most challenging tasks in producing high quality images for diagnosing the diseases. Brain tumor classification is manually an error prone, and it is a challenging one for the radiologists. Various multimodalities of MRI brain tumors are T1, T2, and Flair that are needed to be determined for texture and shape features of MRI image [<xref ref-type="bibr" rid="ref-7">7</xref>]. Computer Aided Diagnosis (CAD) system is the most popular technique in the diagnosis of MRI brain tumor [<xref ref-type="bibr" rid="ref-8">8</xref>]. In an automated processing of CAD system, the two-stage processes are exhibited. In the first step, it implements the preprocessing algorithm and extracts the features and in the second stage, it classifies the tumor image into a relevant group.</p>
<p>Various machine-learning techniques are used for segmentation and classification of MRI image that helps the neuro-oncologists for providing efficient treatment of brain tumor. In the classification of brain tumors, four types of sarcoma, tumor-free, metastasis and glioblastoma tumors are used and by the use of DNN, it produces 96.97&#x0025; of accuracy [<xref ref-type="bibr" rid="ref-9">9</xref>]. In the literature, various modifications of pre-trained network were used for analysis of image, segmentation, and classification of brain images. Various techniques have been implemented in the brain tumor medical databases [<xref ref-type="bibr" rid="ref-10">10</xref>,<xref ref-type="bibr" rid="ref-11">11</xref>].</p>
<p>Classification of brain tumor using regions in the image augmentation process such as ring-form image partition and dilation of image help in the accurate classification. This approach got accuracy of 91.28&#x0025; [<xref ref-type="bibr" rid="ref-12">12</xref>]. Statistical features are separated from the MRI brain image with the help of filters namely, Gabor and Discrete-Wavelet Transforms (DWT). Further Multi-Layer Perceptron (MLP) classifier algorithm is applied in training the model using statistical features. Dataset of Figsh is used and trained the model on the basis of 70:30 as training and validation set of images [<xref ref-type="bibr" rid="ref-13">13</xref>].</p>
<p>Bat algorithm was presented in Genetic Algorithms (GA) and Particle Swarm Optimization (PSO) and evaluated using benchmark functions [<xref ref-type="bibr" rid="ref-14">14</xref>]. This BA was outperformed in solving the problem of optimization like clustering, motor wheel optimization, constrained optimization, and global engineering optimization [<xref ref-type="bibr" rid="ref-15">15</xref>&#x2013;<xref ref-type="bibr" rid="ref-20">20</xref>]. BA algorithm is more complicated in assigning the bat as agent with parameters of loudness, pulse rate, position, frequencies, and velocity [<xref ref-type="bibr" rid="ref-21">21</xref>]. <xref ref-type="table" rid="table-1">Tab. 1</xref> shows the existing algorithm.</p>
<table-wrap id="table-1"><label>Table 1</label>
<caption>
<title>Survey on existing algorithm</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Author</th>
<th align="left">Data set</th>
<th align="left">Method</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Ramesh et al. (2021) [<xref ref-type="bibr" rid="ref-22">22</xref>]</td>
<td align="left">BRATS2012, BRATS2013, BRATS2014, BRATS2015</td>
<td align="left">Deep wavelet auto-encoder model</td>
</tr>
<tr>
<td align="left">Amin et al. (2021) [<xref ref-type="bibr" rid="ref-23">23</xref>]</td>
<td align="left">MRI scan data</td>
<td align="left">Deep learning, VGG16</td>
</tr>
<tr>
<td align="left">Nayak et al. (2020) [<xref ref-type="bibr" rid="ref-24">24</xref>]</td>
<td align="left">Harvard, RIDER</td>
<td align="left">Three variants of SVM</td>
</tr>
<tr>
<td align="left">Bad&#x017E;a et al. (2020) [<xref ref-type="bibr" rid="ref-25">25</xref>]</td>
<td align="left">MD-1 and MD-2</td>
<td align="left">Deep stacked autoencoder</td>
</tr>
<tr>
<td align="left">Khan et al. (2020) [<xref ref-type="bibr" rid="ref-26">26</xref>]</td>
<td align="left">Nanfang Hospital and General Hospital, Tianjin Medical University, China from 2005 to 2010</td>
<td align="left">CNN</td>
</tr>
<tr>
<td align="left">Mallick et al. (2020) [<xref ref-type="bibr" rid="ref-27">27</xref>]</td>
<td align="left">BraTs2015, BraTs2017, and BraTs2018</td>
<td align="left">(CNN) models, namely VGG16 and VGG19-ELM</td>
</tr>
<tr>
<td align="left">Seetha et al. (2019) [<xref ref-type="bibr" rid="ref-28">28</xref>]</td>
<td align="left">RIDER Neuro MRI-1086100996</td>
<td align="left">Deep learning-based wavelet with auto encoder in deep neural network</td>
</tr>
<tr>
<td align="left">Sajjad et al. (2018) [<xref ref-type="bibr" rid="ref-29">29</xref>]</td>
<td align="left">BRATS 2015</td>
<td align="left">CNN</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3">
<label>3</label>
<title>Proposed Methodology for Classifying Brain Tumor</title>
<p>The process of classifying the brain tumors images is an essential one for the purpose of diagnosis. This proposed work BA&#x2009;&#x002B;&#x2009;ELM-TL improves the performance of classification, requires less time complexity, high processing speed. It is computer based assisted for the classification of brain tumor and its diagnosis. This work needs three phases such as 1. Pre-processing, 2. Feature Extraction, 3. Feature Selection. <xref ref-type="fig" rid="fig-1">Fig. 1</xref> shows the architecture of the proposed work.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Architecture of proposed work</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-1.png"/>
</fig>
<p>Proposed algorithm extracts the features from the MRI brain image using stationary wavelet algorithm and for feature selection using BAT with ELM algorithm in order to produce the output promptly. Therefore, transfer learning is adopted for providing fine tuning classification of tumor images.</p>
<sec id="s3_1">
<label>3.1</label>
<title>Pre-Processing</title>
<p>To improve the MRI image quality and to enhance the parameters of MRI image, which is used for further processing by medical experts, pre-processing stage is needed, <xref ref-type="fig" rid="fig-2">Fig. 2</xref>.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Stages in pre-processing</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-2.png"/>
</fig>
<p>The stages involve in the pre-processing are:</p>
<p>Stage 1: Applying median filter in the development of brain image.</p>
<p>Stage 2: Data Augmentation</p>
<p>Stage 3: Normalization of the image using Min-Max Normalization Technique.</p>
<p><xref ref-type="fig" rid="fig-2">Fig. 2</xref> shows the different stages of pre-processing.</p>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>Enhancing the Brain Tumor Image Using Median Filter</title>
<p>Scan the whole MRI brain image using 4&#x2009;&#x00D7;&#x2009;4 window size and calculate the median value for the image and the central pixel value is to be replaced by its median value. See <xref ref-type="disp-formula" rid="eqn-1">Eq. (1)</xref>.<disp-formula id="eqn-1"><label>(1)</label>

<mml:math id="mml-eqn-1" display="block"><mml:mi>i</mml:mi><mml:mi>m</mml:mi><mml:mi>g</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">]</mml:mo><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mrow><mml:mo fence="false" stretchy="false">{</mml:mo><mml:mi>i</mml:mi><mml:mi>m</mml:mi><mml:mi>g</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>m</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mspace width="thickmathspace" /><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">]</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>j</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2208;</mml:mo><mml:mi>P</mml:mi></mml:mrow><mml:mo fence="false" stretchy="false">}</mml:mo></mml:math>
</disp-formula>where <italic>P</italic> represents a neighborhood pixel value defined by the user and the centered around location [<italic>m</italic>, <italic>n</italic>] in the image.</p>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>Data Augmentation</title>
<p>To get better quality of classification, MRI image data augmentation is applied. It involves transformation of MRI image by performing rotation and flipping operation. The study involves rotation of image using 90 degree and also the image is flipped horizontally [<xref ref-type="bibr" rid="ref-30">30</xref>].</p>
</sec>
<sec id="s3_1_3">
<label>3.1.3</label>
<title>Normalization of the Image Using Min-Max Normalization Technique</title>
<p>To normalize the input, MRI image of size 512&#x2009;&#x00D7;&#x2009;512 pixels is used and the value of intensity between 0, and 1 is evaluated using <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref><disp-formula id="eqn-2"><label>(2)</label>

<mml:math id="mml-eqn-2" display="block"><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mo movablelimits="true" form="prefix">min</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo movablelimits="true" form="prefix">max</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2212;</mml:mo><mml:mo movablelimits="true" form="prefix">min</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<p>Here, <italic>p</italic><sub><italic>i</italic></sub> is the normalized intensity value of position of image <inline-formula id="ieqn-1">
<mml:math id="mml-ieqn-1"><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>&#x2026;</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mrow><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math>
</inline-formula> and intensity values of maximum and minimum are represented as <inline-formula id="ieqn-2">
<mml:math id="mml-ieqn-2"><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi><mml:mrow><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
</inline-formula> and <inline-formula id="ieqn-3">
<mml:math id="mml-ieqn-3"><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mrow><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
</inline-formula>. After applying the normalization, the size of the image gets resized into 256&#x2009;&#x00D7;&#x2009;256 pixels.</p>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Feature Extraction Using Stationary Wavelet Transform</title>
<p>In this proposed work, feature extraction of the image is used by Stationary Wavelet Transform (SWT). Here the input signal of the image is convolved with low pass filter value of low[img] and high pass filter value of high[img] and the coefficient number is twice with the input signal of the image in different sub-bands. <xref ref-type="fig" rid="fig-3">Fig. 3</xref> shows the single level sub-band technique of input brain image.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Single-level sub-band technique</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-3.png"/>
</fig>
<p>In <xref ref-type="fig" rid="fig-3">Fig. 3</xref>, Sub-band LL represents the horizontal and vertical low frequency components of the MRI brain image. Sub-band HH represents the horizontal and vertical high frequency components of the MRI brain image. Sub-band LH represents the horizontal low and vertical high frequency components of MRI brain image. Sub-band HL1 represents the horizontal high and vertical low frequency components of MRI brain image. <xref ref-type="fig" rid="fig-4">Fig. 4</xref> shows the level as single and stationary based wavelet transform decomposing the image into four sub-bands.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Single level of stationary based decomposition using wavelet transform</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-4.png"/>
</fig>
<p>In <xref ref-type="fig" rid="fig-4">Fig. 4</xref>, the MRI image <italic>Img</italic>(<italic>x</italic>, <italic>y</italic>) is splitted into four separate sub bands as 1) LowLow (LL), 2) LowHigh (LH), 3) HighLow (HL), and 4) HighHigh (HH) which represents approximately low resolution, and has information regarding horizontal, vertical, and diagonals of input image which produce the same <italic>x</italic> &#x2009;&#x00D7;&#x2009; <italic>y</italic> resolution. For extracting the features of input, brains image in <italic>i</italic><sup><italic>th</italic></sup> level is given in <xref ref-type="disp-formula" rid="eqn-3">Eq. (3)</xref>:</p>
<p><disp-formula id="ueqn-1">

<mml:math id="mml-ueqn-1" display="block"><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:mi>w</mml:mi><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>x</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>y</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:msubsup><mml:mi>w</mml:mi><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:msubsup><mml:mi>w</mml:mi><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>L</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula></p>
<p><disp-formula id="ueqn-2">

<mml:math id="mml-ueqn-2" display="block"><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:mi>w</mml:mi><mml:mi>H</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msub><mml:mi>h</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>x</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>y</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:mi>h</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msubsup><mml:mi>h</mml:mi><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:msubsup><mml:mi>w</mml:mi><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>L</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula></p>
<p><disp-formula id="ueqn-3">

<mml:math id="mml-ueqn-3" display="block"><mml:mi>H</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>h</mml:mi><mml:mi>L</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>x</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>y</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:mi>l</mml:mi><mml:mi>o</mml:mi><mml:msubsup><mml:mi>w</mml:mi><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>h</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msubsup><mml:mi>h</mml:mi><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>L</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula></p>
<p><disp-formula id="eqn-3"><label>(3)</label>

<mml:math id="mml-eqn-3" display="block"><mml:mi>H</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>h</mml:mi><mml:mi>H</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msub><mml:mi>h</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>x</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>y</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:mi>h</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msubsup><mml:mi>h</mml:mi><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>H</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:msubsup><mml:mi>h</mml:mi><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mi>L</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula>where <inline-formula id="ieqn-4">
<mml:math id="mml-ieqn-4"><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mo>&#x2026;</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>&#x2026;</mml:mo><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mi>n</mml:mi></mml:math>
</inline-formula>, and LL, LH, HL, and HH represent horizontal, vertical, and diagonal sub bands, respectively.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Feature Selection</title>
<p>The MRI brain images are available in various multi-modals. The selection of best features is essential in the classification of image. This proposed work implements Bat Algorithm with Extreme Learning via Transfer Learning (BA&#x2009;&#x002B;&#x2009;ELM-TL).</p>
<sec id="s3_3_1">
<label>3.3.1</label>
<title>Bat Algorithm (BA)</title>
<p>It is based on the concept of Particle Swarm Optimization (PSO). Bats are mammals and it is capable of flying in sustainability. Echolocation is used so as to find food in microbats which avoid obstacles, locate the position in dark night. It updates their position and velocity in multidimensional searching space. Each microbat represents the echolocation of its pulse emission rate, a wavelength and frequency. Frequency of each microbat is defined as in <xref ref-type="disp-formula" rid="eqn-4">Eq. (4)</xref>:<disp-formula id="eqn-4"><label>(4)</label>

<mml:math id="mml-eqn-4" display="block"><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x03BC;</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mi>&#x03B2;</mml:mi><mml:mrow><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext><mml:mspace width="thickmathspace" /><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:mi>&#x03B2;</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">]</mml:mo></mml:math>
</disp-formula>where, <italic>frq</italic><sub><italic>i</italic></sub> is frequency between the range of <italic>frq</italic><sub><italic>min</italic></sub> and <italic>frq</italic><sub><italic>max</italic></sub>. And the velocity of each microbat for <italic>j</italic><sup><italic>th</italic></sup> iteration is given in <xref ref-type="disp-formula" rid="eqn-5">Eq. (5)</xref>:<disp-formula id="eqn-5"><label>(5)</label>

<mml:math id="mml-eqn-5" display="block"><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mrow><mml:mi>O</mml:mi><mml:mi>P</mml:mi><mml:mi>T</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math>
</disp-formula>where, <italic>vel</italic><sub><italic>i</italic></sub>(<italic>j</italic>) is velocity of microbat in <italic>j</italic><sup><italic>th</italic></sup> iteration and <italic>x</italic><sup><italic>OPTI</italic></sup> is the optimized solution in step j. Position calculation of each microbat in the <italic>j</italic><sup><italic>th</italic></sup> iteration is given in <xref ref-type="disp-formula" rid="eqn-6">Eq. (6)</xref>:<disp-formula id="eqn-6"><label>(6)</label>

<mml:math id="mml-eqn-6" display="block"><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
</disp-formula>where, <italic>x</italic><sub><italic>i</italic></sub>(<italic>j</italic>) is the position of microbat in the <italic>j</italic><sup><italic>th</italic></sup> iteration.</p>
<p><xref ref-type="table" rid="table-2">Tab. 2</xref> shows the different notations that are used. Algorithm 1 describes the Bat Algorithm (BA) which is used for selecting the features of MRI brain image. The steps involved in the Bat Algorithm is given below:</p>
<fig id="fig-7">
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-7.png"/>
</fig>
<table-wrap id="table-2"><label>Table 2</label>
<caption>
<title>Symbolic notations</title></caption>
<table><colgroup><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Symbols</th>
<th align="left">Notations</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left"><italic>P</italic></td>
<td align="left">Population size of bat</td>
</tr>
<tr>
<td align="left"><italic>Max</italic></td>
<td align="left">Number of maximum iterations</td>
</tr>
<tr>
<td align="left"><italic>Bat</italic></td>
<td align="left">Number of total bats in the rage of [1,&#x2026;P]</td>
</tr>
<tr>
<td align="left"><inline-formula id="ieqn-17">
<mml:math id="mml-ieqn-17"><mml:mi>b</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi><mml:msup><mml:mi>t</mml:mi><mml:mo>&#x2217;</mml:mo></mml:msup></mml:math>
</inline-formula></td>
<td align="left">The best current solution (location)</td>
</tr>
<tr>
<td align="left"><italic>x</italic><sub><italic>i</italic></sub></td>
<td align="left"><italic>i</italic><sup><italic>th</italic></sup> bat&#x0027;s position</td>
</tr>
<tr>
<td align="left"><italic>vel</italic><sub><italic>i</italic></sub></td>
<td align="left"><italic>i</italic><sup><italic>th</italic></sup> bat&#x0027;s velocity</td>
</tr>
<tr>
<td align="left"><italic>frq</italic><sub><italic>i</italic></sub></td>
<td align="left"><italic>i</italic><sup><italic>th</italic></sup> bat frequency and range between <italic>frq</italic><sub><italic>min</italic></sub> and <italic>frq</italic><sub><italic>max</italic></sub>.</td>
</tr>
<tr>
<td align="left"><italic>fit</italic>(<italic>x</italic>)</td>
<td align="left">Function of fitness</td>
</tr>
<tr>
<td align="left"><italic>prate</italic><sub><italic>i</italic></sub></td>
<td align="left"><italic>i</italic><sup><italic>th</italic></sup> bat pulse rate</td>
</tr>
<tr>
<td align="left"><italic>loud</italic><sub><italic>i</italic></sub></td>
<td align="left"><italic>i</italic><sup><italic>th</italic></sup> bat loudness</td>
</tr>
<tr>
<td align="left"><italic>&#x03B1;</italic></td>
<td align="left">Constant parameter for updating loudness <italic>loud</italic><sub><italic>i</italic></sub> in the range of [0,1]</td>
</tr>
<tr>
<td align="left"><italic>&#x03B3;</italic></td>
<td align="left">Constant parameter for updating pulse rate <italic>prate</italic><sub><italic>i</italic></sub> in the range of [0,1]</td>
</tr>
</tbody>
</table>

</table-wrap>
<p>Algorithm 1 describes how tumor detection in the brain image is done by random choice of the pixel image with velocity at position, wavelength, frequency, and loudness to detect pixels of tumor tissue in the MRI brain image. By the adjustment of the wavelength value of the pixel and the closest pixel value of tumor can be checked out from the image. See <xref ref-type="fig" rid="fig-7">Eqs. (7)</xref>&#x2013;<xref ref-type="fig" rid="fig-7">(9)</xref>.</p>
</sec>
<sec id="s3_3_2">
<label>3.3.2</label>
<title>Extreme Learning Machine (ELM)</title>
<p>The aim of feature selection using ELM is used to reduce the feature redundancy and choose only robust exact features classification. And also, ELM is used to minimize the predictors and faster in execution. The working principle is given in Algorithm 2. <xref ref-type="table" rid="table-3">Tab. 3</xref> shows different notations that are used</p>
<table-wrap id="table-3"><label>Table 3</label>
<caption>
<title>Symbolic notations</title></caption>
<table><colgroup><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Symbols</th>
<th align="left">Notations</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left"><italic>&#x03B7;</italic></td>
<td align="left">Original features of brain image</td>
</tr>
<tr>
<td align="left"><italic>sf</italic>(<italic>i</italic>)</td>
<td align="left">Selected features of the brain image</td>
</tr>
<tr>
<td align="left"><italic>LR</italic>:</td>
<td align="left">Regularization parameter</td>
</tr>
<tr>
<td align="left"><italic>sp</italic>(<italic>i</italic>)</td>
<td align="left">Selected parameter</td>
</tr>
<tr>
<td align="left"><italic>Ac</italic><sup><italic>i</italic></sup></td>
<td align="left">Affine combination of selected feature <italic>sf</italic>(<italic>i</italic>) and <italic>sf</italic>(<italic>i</italic>&#x2009;&#x2212;&#x2009;1)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Algorithm 1 presents the working principal of the proposed work:</p>
<fig id="fig-8">
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-8.png"/>
</fig>
<p>Algorithm 2 is implemented and <italic>LR</italic><sub><italic>i</italic></sub> is observed in the features of brain image, and <inline-formula id="ieqn-14">
<mml:math id="mml-ieqn-14"><mml:mover><mml:mrow><mml:mover><mml:mrow><mml:mi>L</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo>&#x23DE;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mrow></mml:mrow></mml:mrow></mml:mover></mml:math>
</inline-formula> denotes the predicted features of brain image. For each time, Minimum Squared Error Rate (MSER) is computed as greater than or equal to 0.1 and updates brain image features. This iteration is repeated until the features are selected for the classification of the brain image. See <xref ref-type="fig" rid="fig-8">Eqs. (10)</xref>&#x2013;<xref ref-type="fig" rid="fig-8">(12)</xref>.</p>
</sec>
<sec id="s3_3_3">
<label>3.3.3</label>
<title>Feature Selection Using Bat with Extreme Learning Machine via Transfer Learning (BA&#x2009;&#x002B;&#x2009;ELM-TL)</title>
<p>In the BRATS data set, training the model of VGG 19 using the same parameter values of Bat and ELM algorithm via Transfer Learning (TL) [<xref ref-type="bibr" rid="ref-31">31</xref>] is done. During the training process, read the input brain data set and evaluate the training in the ratio of 80:20 and each brain image label is defined. Then assign the training of input and output layer model. For VGG19 model, input convolution layer is applied using 64 filters with a size of 3&#x2009;&#x00D7;&#x2009;3&#x2009;&#x00D7;&#x2009;64 and the output is FC8. Afterwards, implement the activation function in the CNN model for the selected features of the brain image and train the model. The algorithm for BA&#x2009;&#x002B;&#x2009;ELM-TLis given below:</p>
<fig id="fig-9">
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-9.png"/>
</fig>
<p>The proposed Algorithm 3 shows the selected features of the brain image using ELM. Then from the selected features, optimized classification of brain tumor is found based on multiple fitness value. After that, calculate the fitness value for all pixels in the image. Randomly, generate the neighborhood pixel value and set it as the best. Next, evaluate the frequency and velocity for the best pixel values selected. Depending upon the velocity value, set min or max value. Then, update the location of bat. Each time, MSER value is evaluated and MSER is greater than or equal to 0.1. Next, update the features of the image. So, repeat the process for the maximum iterations. If search is not satisfied, the final iteration features were chosen for classification. At the same time, loudness is represented for a period of time it marks the changes in the features and also performs search for <italic>i</italic><sup><italic>th</italic></sup> bat locally. The range of loudness is from minimum and maximum.</p>
<p>When the bat reaches the best solution, the loudness value gets decreased. The value of loudness and fitness plays an important role in finding the optimized solution.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Results &#x0026; Analysis</title>
<p>For brain tumor classification, three datasets were used in this work. First dataset was from the open source that was the available dataset of fig share [<xref ref-type="bibr" rid="ref-32">32</xref>,<xref ref-type="bibr" rid="ref-33">33</xref>]. The second dataset contained images from the whole brain atlas [<xref ref-type="bibr" rid="ref-34">34</xref>]. Third data set images were collected from Cancer Genome Atlas Glioblastoma Multi-form (TCGA-GBM) dataset. In the first dataset data collected from 3064 T1-weighted, MRI brain images of 233 patients were diagnosed with Glioma, Meningioma, and Pituitary brain tumor types. Among this, it contained 1426 MRI brain images with glioma from 88 patients, 707 MRI brain images for meningioma from 83 patients and 931 MRI brain images of pituitary tumor from 62 patients. The images were available as .mat files and the size of each image was 512&#x2009;&#x00D7;&#x2009;512 [<xref ref-type="bibr" rid="ref-35">35</xref>]. Second data set contained 500 normal brain images. The third data set contained 262 MRI brain images [<xref ref-type="bibr" rid="ref-36">36</xref>].</p>
<p><xref ref-type="table" rid="table-4">Tab. 4</xref> shows a comparison of existing and proposed BA&#x2009;&#x002B;&#x2009;ELM-TL model. Here auto-encoder of Deep WAvelet with Deep Neural Network DWA-DNN technique is used for the classification of MRI brain tumor image classification which has got 92.16&#x0025; of sensitivity, 94.26&#x0025; of specificity, and 93.15&#x0025; of precision. Detection of brain tumor images by Convolutional Neural Network (CNN) techniques had obtained 95&#x0025; of specificity and 94.81&#x0025; of precision. VGG16 methodology with Google Net model helped in brain tumor classification images and it had obtained 81.25&#x0025; of sensitivity, 88.48&#x0025; of specificity, and 89.66&#x0025; of precision.</p>
<table-wrap id="table-4"><label>Table 4</label>
<caption>
<title>Comparison of existing model with BA&#x2009;&#x002B;&#x2009;ELM-TL</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Model</th>
<th align="left">Sensitivity &#x0025;</th>
<th align="left">Specificity &#x0025;</th>
<th align="left">Precision &#x0025;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">DAE-JOA [<xref ref-type="bibr" rid="ref-37">37</xref>]</td>
<td align="left">95.4</td>
<td align="left">-</td>
<td align="left">95.6</td>
</tr>
<tr>
<td align="left">Google Net &#x0026; Vgg16 [<xref ref-type="bibr" rid="ref-38">38</xref>]</td>
<td align="left">81.25</td>
<td align="left">88.48</td>
<td align="left">89.66</td>
</tr>
<tr>
<td align="left">KNN [<xref ref-type="bibr" rid="ref-39">39</xref>]</td>
<td align="left">46</td>
<td align="left">50</td>
<td align="left">52</td>
</tr>
<tr>
<td align="left">DNN [<xref ref-type="bibr" rid="ref-40">40</xref>]</td>
<td align="left">75</td>
<td align="left">80</td>
<td align="left">72</td>
</tr>
<tr>
<td align="left">M-CNN [<xref ref-type="bibr" rid="ref-41">41</xref>]</td>
<td align="left">95</td>
<td align="left">93</td>
<td align="left">95.7</td>
</tr>
<tr>
<td align="left">CNN-SVM [<xref ref-type="bibr" rid="ref-42">42</xref>]</td>
<td align="left">-</td>
<td align="left">95</td>
<td align="left">92.12</td>
</tr>
<tr>
<td align="left">Alex-Net [<xref ref-type="bibr" rid="ref-43">43</xref>]</td>
<td align="left">84.38</td>
<td align="left">92.31</td>
<td align="left">93.1</td>
</tr>
<tr>
<td align="left">HOG&#x2009;&#x002B;&#x2009;LBP&#x2009;&#x002B;&#x2009;Deep [<xref ref-type="bibr" rid="ref-44">44</xref>]</td>
<td align="left">98.46</td>
<td align="left">96.72</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">RG&#x2009;&#x002B;&#x2009;MKM&#x2009;&#x002B;&#x2009;U-NET [<xref ref-type="bibr" rid="ref-45">45</xref>]</td>
<td align="left">90.7</td>
<td align="left">99.7</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>MRI Brain tumor classification using K-Nearest Neighbors (KNN) algorithm had produced 46&#x0025; of sensitivity, 50&#x0025; of specificity and 52&#x0025; of precision. The DNN in brain cancer detection had produced 75&#x0025; of sensitivity, 80&#x0025; of specificity, and 72&#x0025; of precision.</p>
<p>Classification of brain tumors using Modified-Convolutional Neural Network (M-CNN) had produced 95&#x0025; of sensitivity, 93&#x0025; of specificity, and 95.7&#x0025; of precision. MRI image segmentation using Deep Auto-Encoder using Jaya Optimization Algorithm (DAE-JOA) model had performed sensitivity with 95.4&#x0025;, and precision with 95.6&#x0025;.</p>
<p>From <xref ref-type="table" rid="table-2">Tab. 2</xref>, it is observed that the results comparison of existing models with the proposed bat algorithm and Extreme Learning Machine via transfer learning (BA&#x2009;&#x002B;&#x2009;ELM-TL) model has achieved better performance in the aspects of sensitivity, specificity, and precision values.</p>
<p>For the proposed work, stationary wavelet transform is used for feature extraction. The various SWT sub-bands are HL, LH, LH &#x002B; HL and LH &#x002B; HH &#x002B; HL which represents as vertical, horizontal, horizontal &#x002B; vertical and horizontal &#x002B; diagonal feature information &#x002B; vertical. <xref ref-type="table" rid="table-5">Tab. 5</xref> shows the SWT sub bands for the selection of features in the brain image using Whole Brain Atlas, CE-MRI and fig share dataset.</p>
<table-wrap id="table-5"><label>Table 5</label>
<caption>
<title>SWT sub bands of feature selection of brain image</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Dataset</th>
<th align="left">LH</th>
<th align="left">HL</th>
<th align="left">LH&#x2009;&#x002B;&#x2009;HL</th>
<th align="left">LH&#x2009;&#x002B;&#x2009;HL&#x2009;&#x002B;&#x2009;HH</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Whole brain atlas</td>
<td align="left">91.34&#x0025;</td>
<td align="left">90.56&#x0025;</td>
<td align="left">89.98&#x0025;</td>
<td align="left">97.83&#x0025;</td>
</tr>
<tr>
<td align="left">CE-MRI</td>
<td align="left">89.12&#x0025;</td>
<td align="left">89.12&#x0025;</td>
<td align="left">88.45&#x0025;</td>
<td align="left">96.21&#x0025;</td>
</tr>
<tr>
<td align="left">Figshare</td>
<td align="left">92.89&#x0025;</td>
<td align="left">91.75&#x0025;</td>
<td align="left">87.34&#x0025;</td>
<td align="left">93.78&#x0025;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>From <xref ref-type="table" rid="table-5">Tab. 5</xref>, it is observed that horizontal &#x002B; vertical &#x002B; diagonal feature of brain image has produced the best result of 97.83&#x0025; for Whole Brain Atlas dataset, 96.21&#x0025; for CE-MRI dataset of and 93.78&#x0025; for the dataset of figshare. <xref ref-type="table" rid="table-6">Tab. 6</xref> shows the comparison of various algorithms using figshare dataset.</p>
<table-wrap id="table-6"><label>Table 6</label>
<caption>
<title>Comparison of various algorithm using figshare dataset</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Author name</th>
<th align="left">Algorithm</th>
<th align="left">Accuracy</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Ismael et al. [<xref ref-type="bibr" rid="ref-12">12</xref>]</td>
<td align="left">BoW-SVM</td>
<td align="left">91.28&#x0025;</td>
</tr>
<tr>
<td align="left">Yang [<xref ref-type="bibr" rid="ref-13">13</xref>]</td>
<td align="left">DWT-gabor-neural network</td>
<td align="left">91.90&#x0025;</td>
</tr>
<tr>
<td align="left">Deepak et al. [<xref ref-type="bibr" rid="ref-46">46</xref>].</td>
<td align="left">CNN</td>
<td align="left">84.19&#x0025;</td>
</tr>
<tr>
<td align="left">Afsar et al. [<xref ref-type="bibr" rid="ref-1">1</xref>]</td>
<td align="left">CapsNet</td>
<td align="left">90.89&#x0025;</td>
</tr>
<tr>
<td align="left">Proposed</td>
<td align="left">Bat-ELM via transfer learning</td>
<td align="left">98.45&#x0025;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="table" rid="table-6">Tab. 6</xref> provides the comparison of various algorithm in the figshare dataset. The proposed algorithm had produced the best result with 98.45&#x0025; for accuracy metric measures. This <xref ref-type="table" rid="table-6">Tab. 6</xref> contains only the accuracy metric measure because it is a common metric measure and uses for various algorithms. <xref ref-type="table" rid="table-7">Tab. 7</xref> shows the comparison of proposed work BA&#x2009;&#x002B;&#x2009;ELM-TL model with existing model of Bat algorithm and Extreme Learning Machine model based on the performance metric measures of Disc Similarity Coefficient (DSC) value, FPR, FNR, JSI value.</p>
<table-wrap id="table-7"><label>Table 7</label>
<caption>
<title>Comparison of various metric measures</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Algorithm</th>
<th align="left">DSC &#x0025;</th>
<th align="left">FPR</th>
<th align="left">FNR</th>
<th align="left">JSI &#x0025;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Bat algorithm</td>
<td align="left">88.6</td>
<td align="left">0.24</td>
<td align="left">0.011</td>
<td align="left">89.35</td>
</tr>
<tr>
<td align="left">Extreme learning machine</td>
<td align="left">83</td>
<td align="left">0.46</td>
<td align="left">0.09</td>
<td align="left">92.12</td>
</tr>
<tr>
<td align="left">BA&#x2009;&#x002B;&#x2009;ELM-TL (Proposed)</td>
<td align="left">96.44</td>
<td align="left">0.0525</td>
<td align="left">0.03</td>
<td align="left">94.56</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="table" rid="table-7">Tab. 7</xref> describes a comparison between the proposed BA&#x2009;&#x002B;&#x2009;ELM-TL model result with the existing models in the metric measures of DSC value which has highly achieved 96.44&#x0025; compared to ELM of 83&#x0025; and Bat algorithm with 88.6&#x0025;. FPR rate proposed algorithm had secured 0.0525 rate and FNR rate 0.03 compared to the existing model. It was shown 94.56&#x0025; for JACCARD Similarity Index (JSI). From <xref ref-type="table" rid="table-7">Tab. 7</xref>, it was noticed that the overall performance of the proposed algorithm had obtained better experimental result. Youden index value is given in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Youden index value for BA&#x2009;&#x002B;&#x2009;ELM-TL</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-5.png"/>
</fig>
<p>From the <xref ref-type="fig" rid="fig-5">Fig. 5</xref>, it is observed that high Youden index value of the proposed work means that high index value produces positive results that are high when compared to the false positive.</p>
<p>In the classification of brain tumor images, accuracy is one of the most extensive of quality index rates [<xref ref-type="bibr" rid="ref-47">47</xref>&#x2013;<xref ref-type="bibr" rid="ref-53">53</xref>]. Accuracy is defined as the ratio between number of correctly classified brain tumor images and total number of brain images in the dataset. <xref ref-type="fig" rid="fig-6">Fig. 6</xref> shows the accuracy of proposed work.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Accuracy</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_24538-fig-6.png"/>
</fig>
<p>In <xref ref-type="fig" rid="fig-6">Fig. 6</xref>, the accuracy is calculated for the classification of MRI brain tumor images using Bat Algorithm, Extreme Learning Algorithm and the proposed BA&#x2009;&#x002B;&#x2009;ELM-TL. The proposed work gives accurate results. However, MRI brain image dataset contains unbalanced dataset. Further evaluation is needed in the proposed work with more performance metric measures that can be used with confusion matrix to evaluate the efficient classification of brain tumor images. The confusion matrix found out the correct and incorrect classification of brain tumor images in the tabular form. <xref ref-type="table" rid="table-8">Tab. 8</xref> shows a sample confusion matrix for the proposed work in meningioma, glioma and pituitary tumor images.</p>
<table-wrap id="table-8"><label>Table 8</label>
<caption>
<title>Confusion matrix of the proposed work</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left"/>
<th align="left"/>
<th align="center" colspan="3">Predicted values</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">Meningioma</td>
<td align="left">Glioma</td>
<td align="left">Pituitary</td>
</tr>
<tr>
<td align="left" rowspan="3">Actual values</td>
<td align="left">Meningioma</td>
<td align="left">784</td>
<td align="left">44</td>
<td align="left">23</td>
</tr>
<tr>
<td align="left">Glioma</td>
<td align="left">60</td>
<td align="left">1423</td>
<td align="left">2</td>
</tr>
<tr>
<td align="left">Pituitary</td>
<td align="left">12</td>
<td align="left">54</td>
<td align="left">956</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="table" rid="table-9">Tab. 9</xref> shows the classification of three types of brain tumor images namely, meningioma, glioma and pituitary using proposed work.</p>
<table-wrap id="table-9"><label>Table 9</label>
<caption>
<title>Metric measures for classification of brain tumor image</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Tumor type</th>
<th align="left">Precision</th>
<th align="left">Recall</th>
<th align="left">Specificity</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Meningioma</td>
<td align="left">93.6&#x2009;&#x00B1;&#x2009;0.6</td>
<td align="left">96.3&#x2009;&#x00B1;&#x2009;0.7</td>
<td align="left">97.3&#x2009;&#x00B1;&#x2009;0.4</td>
</tr>
<tr>
<td align="left">Glioma</td>
<td align="left">97.2&#x2009;&#x00B1;&#x2009;0.7</td>
<td align="left">95.9&#x2009;&#x00B1;&#x2009;0.3</td>
<td align="left">98.6&#x2009;&#x00B1;&#x2009;0.2</td>
</tr>
<tr>
<td align="left">Pituitary</td>
<td align="left">98.2&#x2009;&#x00B1;&#x2009;0.8</td>
<td align="left">97.5&#x2009;&#x00B1;&#x2009;0.2</td>
<td align="left">99.4&#x2009;&#x00B1;&#x2009;0.3</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="table" rid="table-9">Tab. 9</xref> presents the performance of metric measures based on the aspects of precision, recall and specificity for the classification of three different brain tumor types. Here, for the proposed work Bat Algorithm with Extreme Learning Machine via Transfer Learning (BA&#x2009;&#x002B;&#x2009;ELM-TL) is used. The specificity values for all types of MRI brain tumor images are high. It indicates the exact classification of samples of MRI brain image.</p>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusion</title>
<p>This paper presents a novel approach in the classification of brain tumor with an accurate and efficient model. In order to get an appropriate model, pre-processing steps are needed by applying median filter, data augmentation and normalization. The proposed techniques that were applied were from the concept of stationary wavelet transform for extracting the brain features of MRI images. The features selection was used with proven classifier models of Bat Algorithm with Extreme Learning Machine via Transfer Learning which improved the performance. This proposed system recorded the best classification of accuracy compared to all the related works. This paper collected the dataset from figshare, whole brain atlas and TCGA-GBM data set. The accuracy of Bat Algorithm was 92.6&#x0025;, Extreme Learning Algorithm was 90.4&#x0025; and BA&#x2009;&#x002B;&#x2009;ELM-TL got 98.87&#x0025;. In future, other metaheuristic algorithm can be implemented for further improvement in terms of accuracy, faster in execution.</p>
</sec>
</body>
<back>
<ack>
<p>Research Supporting Project Number (RSP-2021/323), King Saud University, Riyadh, Saudi Arabia.</p>
</ack><fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> This project is funded by King Saud University, Riyadh, Saudi Arabia.</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>
<ref-list content-type="authoryear">
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