<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.1 20151215//EN" "http://jats.nlm.nih.gov/publishing/1.1/JATS-journalpublishing1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.1">
<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">18607</article-id>
<article-id pub-id-type="doi">10.32604/iasc.2021.018607</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Breast Cancer Classification Using Deep Convolution Neural Network with Transfer Learning</article-title>
<alt-title alt-title-type="left-running-head">Breast Cancer Classification Using Deep Convolution Neural Network with Transfer Learning</alt-title>
<alt-title alt-title-type="right-running-head">Breast Cancer Classification Using Deep Convolution Neural Network with Transfer Learning</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western">
<surname>Mahmoud</surname>
<given-names>Hanan A. Hosni</given-names>
</name>
<email>hahosni@pnu.edu.sa</email>
</contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western">
<surname>Alharbi</surname>
<given-names>Amal H.</given-names>
</name>
</contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western">
<surname>Khafga</surname>
<given-names>Doaa S.</given-names>
</name>
</contrib><aff><institution>Department of Computer Sciences, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University</institution>, <addr-line>Riyadh, 11047</addr-line>, <country>KSA</country></aff>
</contrib-group><author-notes><corresp id="cor1">&#x002A;Corresponding Author: Hanan A. Hosni Mahmoud. Email: <email>hahosni@pnu.edu.sa</email></corresp></author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2021-06-17">
<day>17</day>
<month>6</month>
<year>2021</year>
</pub-date>
<volume>29</volume>
<issue>3</issue>
<fpage>803</fpage>
<lpage>814</lpage>
<history>
<date date-type="received">
<day>13</day>
<month>3</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>4</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2021 Mahmoud, Alharbi and Khafga</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Mahmoud, Alharbi and Khafga</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_18607.pdf"></self-uri>
<abstract>
<p>In this paper, we aim to apply deep learning convolution neural network (Deep-CNN) technology to classify breast masses in mammograms. We develop a Deep-CNN combined with multi-feature extraction and transfer learning to detect breast cancer. The Deep-CNN is utilized to extract features from mammograms. A support vector machine (SVM) is then trained on the Deep-CNN features to classify normal, benign, and cancer cases. The scoring features from the Deep-CNN are coupled with texture features and used as inputs to the final classifier. Two texture features are included: texture features of spatial dependency and gradient-based histograms. Both are employed to locate breast masses in mammograms. Next we apply transfer learning to the classifier of the SVM. Four techniques are devised for the experimental evaluation of the proposed system. The fourth technique combines the Deep-CNN with texture features and local features extracted by the scale-invariant feature transform (SIFT) algorithm. Experiments are designed to measure the performance of the various techniques. The results demonstrate that the proposed CNN coupled with the texture features and the SIFT outperforms the other models and performs best with transfer learning embedded. The accuracy of this model is 97.8%, with a true positive rate of 98.45% and a true negative rate of 96%.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Breast cancer</kwd>
<kwd>Classification</kwd>
<kwd>Neural network</kwd>
<kwd>Texture features</kwd>
<kwd>Transfer learning</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Breast cancer is one of the most common cancers in the female population. Over two million women are affected by breast cancer each year. Breast cancer is a severe illness that affects the breast tissues and can spread to nearby organs [<xref ref-type="bibr" rid="ref-1">1</xref>]. The American Cancer Society published data of 277,580 invasive cases and 48,640 non-invasive cases of breast cancer in 2020 [<xref ref-type="bibr" rid="ref-2">2</xref>].</p>
<p>The death rate is very high for patients with breast cancer, so women over age of forty are advised to undergo mammogram screening regularly [<xref ref-type="bibr" rid="ref-3">3</xref>]. Mammography is utilized as an imaging tool for breast tumor examination because it allows for a precise diagnosis even in the early stages of cancer. Early discovery is important to advance the breast cancer diagnosis rate and improve the chances of recovery [<xref ref-type="bibr" rid="ref-4">4</xref>]. The wide utilization of mammography-based diagnosis can discover asymptomatic breast cancer, which can lead to a reduced mortality rate from this disease [<xref ref-type="bibr" rid="ref-5">5</xref>]. Radiologists look for essential properties such as microscopic calcifications and tissue distortions, which designate the presence of breast cancer [<xref ref-type="bibr" rid="ref-6">6</xref>].</p>
<p>Masses found in breast mammograms are important indications of malignant breast tumors [<xref ref-type="bibr" rid="ref-7">7</xref>]. Tumor recognition is a difficult job because of the subtle differences between tumor tissue and adjacent healthy tissues [<xref ref-type="bibr" rid="ref-8">8</xref>]. Mass discovery in the breast, that is, locating boundaries between mass and healthy regions, is also difficult [<xref ref-type="bibr" rid="ref-9">9</xref>] due to low-quality images and high ratios of noise [<xref ref-type="bibr" rid="ref-10">10</xref>]. In addition, the resemblance of masses with the adjacent healthy regions is high [<xref ref-type="bibr" rid="ref-11">11</xref>]. However, identifying the tumor shape and type is vital to proper diagnosis [<xref ref-type="bibr" rid="ref-12">12</xref>]. These problems lead to less-than-optimal sensitivity and specificity of mammogram screening [<xref ref-type="bibr" rid="ref-13">13</xref>]. Additionally, the inspection procedure of mammograms is tiresome and can be biased [<xref ref-type="bibr" rid="ref-14">14</xref>].</p>
<p>Therefore, several computer-aided diagnosis and image analysis tools are used by medical experts to increase diagnosis correctness. These tools employ feature extraction and heuristic techniques [<xref ref-type="bibr" rid="ref-15">15</xref>]. Then classifiers utilize the extracted features to differentiate masses from normal tissues [<xref ref-type="bibr" rid="ref-16">16</xref>]. Feature extraction relies heavily on geometrical and morphological properties. Computerized tools can enhance identification of suspicious masses and other abnormalities, such as calcifications, through learning methods [<xref ref-type="bibr" rid="ref-17">17</xref>]. Several previous studies described various approaches for computerized detection of abnormalities in mammograms [<xref ref-type="bibr" rid="ref-18">18</xref>]. For example, the authors in Giger et al. [<xref ref-type="bibr" rid="ref-19">19</xref>], regions of interest were segmented as suspicious areas and classified utilizing texture features through linear discriminant analysis. The main problems facing such approaches are the noises included in the images and the size, texture, and appearance variations of breast tumors [<xref ref-type="bibr" rid="ref-20">20</xref>].</p>
<p>The performance of breast cancer automated diagnosis can be enhanced using deep learning methods [<xref ref-type="bibr" rid="ref-21">21</xref>]. Machine learning techniques can be used for identifying features as representatives [<xref ref-type="bibr" rid="ref-22">22</xref>]. Texture also can be utilized through identifying local statistical aspects of image intensity maps [<xref ref-type="bibr" rid="ref-23">23</xref>]. Texture analysis techniques can be used in analyzing lesions instigated by masses in mammograms and can differentiate masses and normal tissues [<xref ref-type="bibr" rid="ref-24">24</xref>].</p>
<p>In Oliver et al. [<xref ref-type="bibr" rid="ref-7">7</xref>], the authors extracted texture features from breast suspected regions via fuzzy C-means algorithm. In Chen et al. [<xref ref-type="bibr" rid="ref-25">25</xref>] the authors modeled tissue patterns in mammograms using tissue appearances.</p>
<p>Deep learning techniques require medical image analysis CAD tools [<xref ref-type="bibr" rid="ref-26">26</xref>&#x2013;<xref ref-type="bibr" rid="ref-29">29</xref>]. Classification processes can utilize statistical methods, artificial intelligence techniques, or support vector machines (SVM) to predict breast cancer [<xref ref-type="bibr" rid="ref-30">30</xref>]. Deep learning approaches can be used to generate semantic information through adaptive learning [<xref ref-type="bibr" rid="ref-31">31</xref>,<xref ref-type="bibr" rid="ref-32">32</xref>].</p>
<p>CNN can classify masses from breast mammograms by extracting texture features. The textural topographies are fed as inputs to a CNN classifier [<xref ref-type="bibr" rid="ref-33">33</xref>]. However, texture features are not adequate to classify cancer masses from mammograms. Therefore, morphological features of the tumor shape are also utilized in categorizing cancer masses.</p>
<p>In this paper, we present a Deep-CNN method for feature extraction of three kinds of breast cancer masses. Multiple properties of the gray level co-occurrence matrix (GLCM) and the histogram of oriented gradient (HOG) [<xref ref-type="bibr" rid="ref-34">34</xref>,<xref ref-type="bibr" rid="ref-35">35</xref>] are examined to emphasize the texture features of the region of interest (ROI). Texture scoring features analogous to each breast mammogram are pooled into multi-features. The pooled features are presented to diverse numbers of classifiers and grouped into the anticipated classes. We utilize the SVM classification algorithm to define the ROI as normal, benign tumor, or cancer [<xref ref-type="bibr" rid="ref-36">36</xref>&#x2013;<xref ref-type="bibr" rid="ref-38">38</xref>]. The proposed system is composed of three main phases: feature extraction, texture extraction, and tumor classification.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methodology</title>
<p>In this section, we will describe the dataset used and the methodology.</p>
<sec id="s2_1">
<label>2.1</label>
<title>Dataset</title>
<p>We utilize the dataset in the digital database of mammography in Nascimento et al. [<xref ref-type="bibr" rid="ref-39">39</xref>]. The dataset consists of mammography from 2200 cases. Each mammogram has clinical data such as shapes, sizes, and densities of the breast masses as well as diagnoses annotated by radiologists [<xref ref-type="bibr" rid="ref-40">40</xref>&#x2013;<xref ref-type="bibr" rid="ref-43">43</xref>].</p>
<p>Mammograms in the dataset include the pectoral muscle and the background, both of which include many artifacts. The classification is performed only on ROIs that might contain abnormalities. The ROI has to cover the whole abnormality and minimal normal tissue surrounding the abnormality. Mammograms are cropped, and the parts that affect classification are removed. A simulation study of extracting ROIs from mammograms in the dataset is conducted. The extracted ROIs include benign and cancer masses following the process in [<xref ref-type="bibr" rid="ref-44">44</xref>&#x2013;<xref ref-type="bibr" rid="ref-46">46</xref>]. The data are partitioned into a training set and a testing set with the proportions of 80% and 20%, respectively, as depicted in <xref ref-type="table" rid="table-1">Tab. 1</xref>.</p>
<p>The experimental dataset is composed of 7500 images. The training set contains 6000 images, among which 1890 are cancer, 1780 are benign, and 2330 are normal. Random selections of 500 cancer regions, 400 benign regions, and 600 normal regions are designated for training. The selected regions are selected from different mammograms of different cases to avoid data bias.</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>The experimental dataset</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th/>
<th>Cancer</th>
<th>Benign</th>
<th>Normal</th>
<th>Total</th>
</tr>
</thead>
<tbody>
<tr>
<td>Training Set</td>
<td>1890</td>
<td>1780</td>
<td>2330</td>
<td>6000</td>
</tr>
<tr>
<td>Testing Set</td>
<td>500</td>
<td>400</td>
<td>600</td>
<td>1500</td>
</tr>
<tr>
<td>Total</td>
<td>2390</td>
<td>2180</td>
<td>2930</td>
<td>7500</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Deep-CNN</title>
<p>The Inception module is utilized for the first time in GoogLeNet [<xref ref-type="bibr" rid="ref-47">47</xref>]. This module approximates an optimal sparse configuration in a CNN by utilizing dense components [<xref ref-type="bibr" rid="ref-48">48</xref>]. It searches for the optimal local configuration and duplicates it, building a multi-layer network from the convolutional network blocks.</p>
<p>In Arora et al. [<xref ref-type="bibr" rid="ref-49">49</xref>], the authors reported that every unit from the previous layer represents an input image region, and they concluded that these units are assembled in filter stores. Correlated units in lower layers focus on local regions and can be used as inputs to convolutions layers of 1&#x002A;1 in the succeeding layer [<xref ref-type="bibr" rid="ref-50">50</xref>]. If Smaller clusters are enclosed within larger regions, the convolutions will ignore those larger regions. Spatially spread smaller clusters are enclosed by convolutions over patches with larger regions, and the convolutions will ignore larger region patches. To avoid such problems, the Inception architecture is limited to filter sizes of 1&#x002A;1, 3&#x002A;3, and 5&#x002A;5. For better results, the authors added pooling layers with alternative path [<xref ref-type="bibr" rid="ref-51">51</xref>,<xref ref-type="bibr" rid="ref-52">52</xref>].</p>
<p>Adding parallel pooling layers can result in a high cost, especially when there are convolutional layers with many filters. When pool layers are supplemented, the cost becomes more problematic. Even with the architecture covering the optimal structure, it is highly inefficient and can result in a huge computational cost in few stages. Dimension reduction can be applied to reduce the computational cost. In one study, the author suggested using (1&#x002A;1) convolutions instead of (3&#x002A;3) or (5&#x002A;5) convolutions to reduce the computational cost [<xref ref-type="bibr" rid="ref-47">47</xref>].</p>
<p>Some authors suggested factorizing filters into smaller ones. Utilizing asymmetric convolutions (n&#x2217;1) can offer better performance than symmetric convolutions. In Fedorov et al. [<xref ref-type="bibr" rid="ref-53">53</xref>], the authors described an (n&#x2217;1) convolution trailed by a (1&#x2217;n) convolution and found out that it can be equal to a two-layer convolution equivalent to an (n&#x2217;n) convolution as shown in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>. The cost of the two-layer convolution is 33% less compared to the equivalent output filters. It is proved that a (1&#x2217;n) convolution trailed by an (n&#x2217;1) convolution can replace the (n&#x2217;n) solution with significant cost savings.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Asymmetric convolutions</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-1.png"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Texture Feature</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Texture Features of Spatial Dependency (TFSD)</title>
<p>Texture features are often utilized to identify objects in an image. This is considerably helpful for breast cancer diagnosis because breast masses have different shapes in mammography. Mass edges can define the type of breast cancer as well as its degree. The length of the edge is long, and the different lumps develop irregular texture features that resemble a definite type of mass. We develop a technique to classify masses in mammograms by identifying texture features utilizing spatial dependency (TFSP). TFSP is calculated from pixel pairs with specific frequencies and spatial associations.</p>
<p>In <xref ref-type="fig" rid="fig-2">Fig. 2</xref>, a spatial cell has four nearest spatial cells in the vertical and horizontal directions. Texture is indicated by a gray intensity matrix (GIM) <italic>F</italic>, where <italic>F</italic><sub><italic>i,j</italic></sub> represents a relative frequency. <italic>F</italic><sub><italic>i,j</italic></sub> represents two spatial cells parted by a displacement d on the image: one is of gray intensity <italic>i</italic>, and the other is of gray intensity <italic>j</italic>. The GIM is a function of the angle between the resolution of the neighboring cells and the distance between them <italic>(F</italic><sub><italic>i,j</italic></sub> <italic>(d,0); F</italic><sub><italic>i,j</italic></sub> <italic>(d,90))</italic>.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>A cell with four spatial neighbors in two directions</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-2.png"/>
</fig>
<p>We compute the features of each element from elements of the GIM. The GIM&#x2019;s first two features are the mean and standard deviation of various angles. The other features are correlation and homogeneity. These features are functions of angle and distance. If image I has features X and Y at angles of 0&#x00B0; and 90&#x00B0; (as depicted in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>), the features will be represented by the functions of X and Y, along with their mean and variance. These features will be utilized as the classifier&#x2019;s inputs.</p>
<p>The correlation, <italic>C</italic>, is the gray intensity in the image and is calculated with <xref ref-type="disp-formula" rid="eqn-1">Eq. (1)</xref>.</p>
<p><disp-formula id="eqn-1">
<label>(1)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-1.png"/><tex-math id="tex-eqn-1"><![CDATA[$$C = \mathop \sum \limits_i \mathop \sum \limits_j \displaystyle{{{{\left( {i - j} \right)}^2}\; F\left( {i,j} \right) - {\mu _i}{\mu _j}} \over {{\sigma _i}{\sigma _j}}},$$]]></tex-math>--><mml:math id="mml-eqn-1" display="block"><mml:mi>C</mml:mi><mml:mo>&#x003D;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>i</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>j</mml:mi></mml:munder><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>j</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03BC;</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03BC;</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03C3;</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03C3;</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mo>,</mml:mo></mml:mstyle></mml:math>
<!--</alternatives>--></disp-formula></p>
<p>where &#x03BC;<sub>i</sub> and &#x03BC;<sub>j</sub> represent the means of <italic>F</italic><sub><italic>i,j</italic></sub>, while &#x03C3;<sub>i</sub> and &#x03C3;<sub>j</sub> represent the standard deviations of <italic>F</italic><sub><italic>i,j</italic></sub>.</p>
<p>Homogeneity, <italic>H</italic>, is the distance difference of the texture of the image. <italic>H</italic> is a metric of the local change of the texture and is defined in <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref>.</p>
<p><disp-formula id="eqn-2">
<label>(2)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-2.png"/><tex-math id="tex-eqn-2"><![CDATA[$$H = \mathop \sum \limits_i \mathop \sum \limits_j \displaystyle{{\; {\rm \; }{F_{i,j}}} \over {1 + {{(i - j)}^2}}}.$$]]></tex-math>--><mml:math id="mml-eqn-2" display="block"><mml:mi>H</mml:mi><mml:mo>&#x003D;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>i</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>j</mml:mi></mml:munder><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mrow><mml:mfrac><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x002B;</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>i</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>j</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mo>.</mml:mo></mml:mstyle></mml:math>
<!--</alternatives>--></disp-formula></p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Gradient-Based Histogram</title>
<p>The gradient-based histogram has the ability to describe features such as object local structure, extract accurate gradient and edge information, and calculate the horizontal as well as the vertical gradients of an image. The algorithm partitions the image into units of equal size. For each cell, the histogram is computed as a representation of relative pixel intensity. The image is partitioned into 8 &#x00D7; 8 non-overlapping pixel units. For each unit, we compute the histogram in the direction of the pixels&#x2019; gradient. Depending on the gradient at that pixel, four (2 &#x00D7; 2) block units will be utilized to normalize the histogram of a given unit to be adapted to the energy in each of these block units.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Experiment Design</title>
<p>Experiments are designed to evaluate the abilities of our methodology to detect breast cancer tumors and classify them in the selected dataset [<xref ref-type="bibr" rid="ref-39">39</xref>]. A Deep-CNN network combined with transfer learning and a Deep-CNN combined with SVM are tested for their ability to enhance the classifier performance. The main function of the classifier is to classify an ROI as normal, benign, or cancer.</p>
<p>Technique 1 (T1): The Deep-CNN is designed to be coupled with transfer learning. The CNN is trained with the mammogram datasets (DS) with previous transfer learning from ImageNet. The performance of the classifier is tested by inputting images into the Deep-CNN via runs of convolution, pooling, and classification layers. This technique is designed to evaluate the classification ability of Deep-CNN with transfer learning. The block diagram of T1 is shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>The Deep-CNN combined with transfer learning (T1)</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-3.png"/>
</fig>
<p>Technique 2 (T2): The Deep-CNN is designed to be combined with transfer learning (TF) and SVM. The CNN is trained with the mammogram datasets. The classifier score is the output feature vector through inputting images into the SVM for training. This technique is designed to compare the classification abilities with and without transfer learning. The block diagram of T2 is shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>The Deep-CNN combined with transfer learning and SVM score (T2)</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-4.png"/>
</fig>
<p>Technique 3 (T3): This technique utilizes texture to identify ROI in the mammogram image. The texture features are computed using texture features of spatial dependency (TFSD) and gradient-based histogram (GBH). This technique evaluates the classifier ability without learning transfer. The texture features are computed from the ROI from the dataset DS and are used for the training of the Deep-CNN. The block diagram of T3 is shown in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>The Deep-CNN using the texture features TFSD and GBH (T3)</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-5.png"/>
</fig>
<p>Technique 4 (T4): This technique integrates the technique in T3 with the SIFT local features. The integrated features are used as input vectors into the SVM machine. The block diagram of T4 is shown in <xref ref-type="fig" rid="fig-6">Fig. 6</xref>.</p>
<p><xref ref-type="fig" rid="fig-7">Fig. 7</xref> depicts a mammogram image of a breast with normal tissues from the dataset DS, while <xref ref-type="fig" rid="fig-8">Fig. 8</xref> depicts a mammogram image from the DS dataset with cancer ROI that has been detected using T3. In <xref ref-type="fig" rid="fig-9">Fig. 9</xref>, a mammogram is shown after applying texture features coupled with SIFT local features using T4.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>The Deep-CNN using the texture features TFSD and GBH coupled with SIFT local features (T4)</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-6.png"/>
</fig>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>A mammogram image of a breast with normal tissues</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-7.png"/>
</fig>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>A mammogram image from the DS dataset with cancer ROI using T3</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-8.png"/>
</fig>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>A mammogram after applying texture features coupled with SIFT local features using T4</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-9.png"/>
</fig>
</sec>
<sec id="s4">
<label>4</label>
<title>Experimental Results</title>
<sec id="s4_1">
<label>4.1</label>
<title>Results of the Deep-CNN</title>
<p>The Deep-CNN network classifies breast mammogram ROIs as cancer, benign, or normal. Utilizing the Softmax layer, the evaluation of the classifier performance is defined as the capability of the classifier to correctly detect the breast region type [<xref ref-type="bibr" rid="ref-54">54</xref>]. We utilize the accuracy, sensitivity, and specificity metrics to measure the four classification techniques described in Section 3.</p>
<p>The confusion matrix for T4 is illustrated in <xref ref-type="table" rid="table-2">Tab. 2</xref>. The results of medical diagnosis with the classifier described in T4 are depicted. Our proposed technique T4 is shown to have the capability to classify three types of breast ROI mammogram images as normal, benign, or cancer.</p>
<p>The four techniques are then compared according to the chosen accuracy metrics in <xref ref-type="table" rid="table-3">Tab. 3</xref>.</p>
<table-wrap id="table-2">
<label>Table 2</label>
<caption>
<title>Cancer detection confusion matrix for T4</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th/>
<th/><th colspan="8">Predicted Cases</th>
</tr>
</thead>
<tbody>
<tr>
<td rowspan="4">Real<break/>Cases</td>
<td/>
<td>Normal</td>
<td>Benign</td>
<td>Cancer</td>
<td>Total</td>
<td>TP</td>
<td>FN</td>
<td>TN</td>
<td>FP</td>
</tr>
<tr>
<td>Normal</td>
<td>2870</td>
<td>55</td>
<td>5</td>
<td>2930</td>
<td/>
<td/>
<td>2870</td>
<td>60</td>
</tr>
<tr>
<td>Benign</td>
<td>66</td>
<td>2100</td>
<td>14</td>
<td>2180</td>
<td/>
<td>66</td>
<td>2100</td>
<td>14</td>
</tr>
<tr>
<td>Cancer</td>
<td>9</td>
<td>80</td>
<td>2301</td>
<td>2390</td>
<td>2301</td>
<td>89</td>
<td/>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
<p>The Deep-CNN classifier in the defined four techniques, T1 through T4, is assessed using the accuracy, sensitivity, and specificity metrics, as depicted in <xref ref-type="disp-formula" rid="eqn-3">Eqs. (3)</xref>&#x2013;<xref ref-type="disp-formula" rid="eqn-5">(5)</xref>, respectively.</p>
<p><disp-formula id="eqn-3">
<label>(3)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-3.png"/><tex-math id="tex-eqn-3"><![CDATA[$$Accuracy = \displaystyle{{TP + TN} \over {TP + FP + FN + TN}}$$]]></tex-math>--><mml:math id="mml-eqn-3"><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>&#x003D;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>&#x002B;</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>&#x002B;</mml:mo><mml:mi>F</mml:mi><mml:mi>P</mml:mi><mml:mo>&#x002B;</mml:mo><mml:mi>F</mml:mi><mml:mi>N</mml:mi><mml:mo>&#x002B;</mml:mo><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
<!--</alternatives>--></disp-formula></p>
<p><disp-formula id="eqn-4">
<label>(4)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-4.png"/><tex-math id="tex-eqn-4"><![CDATA[$$Sensitivity = {\rm \; }\displaystyle{{TP} \over {TP + FP}}$$]]></tex-math>--><mml:math id="mml-eqn-4"><mml:mi>S</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mi>y</mml:mi><mml:mo>&#x003D;</mml:mo><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><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>&#x002B;</mml:mo><mml:mi>F</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
<!--</alternatives>--></disp-formula></p>
<p><disp-formula id="eqn-5">
<label>(5)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-5.png"/><tex-math id="tex-eqn-5"><![CDATA[$$Specificity = \; \displaystyle{{TN} \over {TN + FN}}$$]]></tex-math>--><mml:math id="mml-eqn-5"><mml:mi>S</mml:mi><mml:mi>p</mml:mi><mml:mi>e</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi><mml:mi>f</mml:mi><mml:mi>i</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mi>y</mml:mi><mml:mo>&#x003D;</mml:mo><mml:mspace width="thickmathspace"></mml:mspace><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>N</mml:mi><mml:mo>&#x002B;</mml:mo><mml:mi>F</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
<!--</alternatives>--></disp-formula></p>
<p><italic>TP</italic>, <italic>TN</italic>, <italic>FP</italic>, and <italic>FN</italic> indicate true positive, true negative, false positive, and false negative cases, respectively. <italic>Sensitivity</italic> indicates the true positive rate, and <italic>Specificity</italic> indicates the true negative rate.</p>
<p><xref ref-type="table" rid="table-3">Tab. 3</xref> depicts the comparison of results of the four experimental techniques adopted in this research. The k-Fold Cross-Validation testing method is used, where the training set is 80% and the testing set is 20% of the whole dataset.</p>
<table-wrap id="table-3">
<label>Table 3</label>
<caption>
<title>Comparison of results of the four experimental techniques (training set (80%), testing set (20%))</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Experiment Technique</th>
<th>Accuracy</th>
<th>Sensitivity</th>
<th>Specificity</th>
</tr>
</thead>
<tbody>
<tr>
<td>Technique 1 (T1)</td>
<td>90.68%</td>
<td>92.10%</td>
<td>93.52%</td>
</tr>
<tr>
<td>Technique 2 (T2)</td>
<td>93.68%</td>
<td>94.60%</td>
<td>91.43%</td>
</tr>
<tr>
<td>Technique 3 (T3)</td>
<td>96.03%</td>
<td>95.18%</td>
<td>94.44%</td>
</tr>
<tr>
<td>Technique 4 (T4)</td>
<td>97.80%</td>
<td>98.45%</td>
<td>96.00%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Results of Transfer Learning</title>
<p>In this section, we will discuss the impact of transfer learning on the performance of the different classifiers enhanced by T1 through T4.</p>
<p>The Deep-CNN with transfer learning provides much better classification accuracy and sensitivity than the same Deep-CNN without transfer learning. <xref ref-type="fig" rid="fig-10">Figs. 10</xref> and <xref ref-type="fig" rid="fig-11">11</xref> show the comparison of the four techniques (T1 through T4) with and without transfer learning with an epoch of 100,000 and 200,000.</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>Comparison of accuracy and sensitivity of techniques T1 through T4 with and without transfer learning (TL) with epoch 100,000</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-10.png"/>
</fig>
<fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Comparison of accuracy and sensitivity of techniques T1 through T4 with and without transfer learning (TL) with epoch 200,000</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_18607-fig-11.png"/>
</fig>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusions</title>
<p>In our research, we proposed a classification method for breast ROI tumors into normal, benign and cancerous classes. We utilized mammograms where ROI are classified using several features through suggesting four techniques coupled with Deep-CNN. Our study indicated that using several features in a model would outperform models with single feature. We coupled our Deep-CNN with transfer learning in the proposed four techniques. Transfer learning helped the model to achieve higher accuracy than without transfer learning. Features were extracted and are used as an input to the Deep-CNN which. Our proposed method integrated the Deep-CNN with texture features and SIFT local features. SVM is used in the training phase on the Deep-CNN features to classify breast masses. The features from the Deep-CNN are combined with texture features and used in the final classifier. We applied transfer learning to the classifier of the SVM. We devised four techniques for the experimentation of the proposed system. The fourth technique combined all the featured suggested in this research. It combined the Deep-CNN with texture features and local features extracted by the scale-invariant feature transform (SIFT) algorithm. Experiments were designed to measure the performance of the various techniques. The results demonstrated that the proposed CNN coupled with the texture features and the SIFT outperforms the other models and performs the best results with the transfer learning embedded. The accuracy of this model is 97.8%, with true positive rate of 98.45% and true negative rate of 96%.</p>
</sec>
</body>
<back><fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program.</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">
<title>References</title>
<ref id="ref-1">
<label>1</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>R. L.</given-names> 
<surname>Siegel</surname></string-name>, <string-name>
<given-names>K. D.</given-names> 
<surname>Miller</surname></string-name> and <string-name>
<given-names>A.</given-names> 
<surname>Jemal</surname></string-name>
</person-group>, &#x201C;
<article-title>Cancer statistics 2017</article-title>,&#x201D; 
<source>CA: A Cancer Journal for Clinicians</source>, vol. 
<volume>67</volume>, no. 
<issue>1</issue>, pp. 
<fpage>7</fpage>&#x2013;
<lpage>30</lpage>, 
<year>2017</year>.</mixed-citation>
</ref>
<ref id="ref-2">
<label>2</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>E. A.</given-names> 
<surname>Sickles</surname></string-name>
</person-group>, &#x201C;
<article-title>Breast cancer screening outcomes in women ages 40-49: Clinical experience with service screening using modern mammography</article-title>,&#x201D; 
<source>JNCI Monographs</source>, vol. 
<volume>1997</volume>, no. 
<issue>22</issue>, pp. 
<fpage>99</fpage>&#x2013;
<lpage>104</lpage>, 
<year>1997</year>.</mixed-citation>
</ref>
<ref id="ref-3">
<label>3</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J. S.</given-names> 
<surname>Whang</surname></string-name>, <string-name>
<given-names>S. R.</given-names> 
<surname>Baker</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Patel</surname></string-name>, <string-name>
<given-names>L.</given-names> 
<surname>Luk</surname></string-name> and <string-name>
<given-names>A.</given-names> 
<surname>Castro</surname></string-name>
</person-group>, &#x201C;
<article-title>The causes of medical malpractice suits against radiologists in the United States</article-title>,&#x201D; 
<source>Radiology</source>, vol. 
<volume>266</volume>, no. 
<issue>2</issue>, pp. 
<fpage>548</fpage>&#x2013;
<lpage>554</lpage>, 
<year>2013</year>.</mixed-citation>
</ref>
<ref id="ref-4">
<label>4</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M.</given-names> 
<surname>Elter</surname></string-name> and <string-name>
<given-names>A.</given-names> 
<surname>Horsch</surname></string-name>
</person-group>, &#x201C;
<article-title>CADx of mammographic masses and clustered microcalcifications: A review</article-title>,&#x201D; 
<source>Medical Physics</source>, vol. 
<volume>36</volume>, no. 
<issue>1</issue>, pp. 
<fpage>2052</fpage>&#x2013;
<lpage>2068</lpage>, 
<year>2009</year>.</mixed-citation>
</ref>
<ref id="ref-5">
<label>5</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>R. M.</given-names> 
<surname>Rangayyan</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Banik</surname></string-name> and <string-name>
<given-names>J. E. L.</given-names> 
<surname>Desautels</surname></string-name>
</person-group>, &#x201C;
<article-title>Computer-aided detection of architectural distortion in prior mammograms of interval cancer</article-title>,&#x201D; 
<source>Journal of Digital Imaging</source>, vol. 
<volume>23</volume>, no. 
<issue>5</issue>, pp. 
<fpage>611</fpage>&#x2013;
<lpage>631</lpage>, 
<year>2010</year>.</mixed-citation>
</ref>
<ref id="ref-6">
<label>6</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>L. T.</given-names> 
<surname>Niklason</surname></string-name>, <string-name>
<given-names>D. B.</given-names> 
<surname>Kopans</surname></string-name> and <string-name>
<given-names>L. M.</given-names> 
<surname>Hamberg</surname></string-name>
</person-group>, &#x201C;
<article-title>Digital breast imaging: Tomosynthesis and digital subtraction mammography</article-title>,&#x201D; 
<source>Breast Disease</source>, vol. 
<volume>10</volume>, no. 
<issue>3-4</issue>, pp. 
<fpage>151</fpage>&#x2013;
<lpage>164</lpage>, 
<year>1998</year>.</mixed-citation>
</ref>
<ref id="ref-7">
<label>7</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>A.</given-names> 
<surname>Oliver</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Freixenet</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Marti</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Pont</surname></string-name>, <string-name>
<given-names>E.</given-names> 
<surname>Perez</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>A novel breast tissue density classification methodology</article-title>,&#x201D; 
<source>IEEE Transactions of Information Technology Biomedical</source>, vol. 
<volume>12</volume>, no. 
<issue>1</issue>, pp. 
<fpage>55</fpage>&#x2013;
<lpage>65</lpage>, 
<year>2008</year>.</mixed-citation>
</ref>
<ref id="ref-8">
<label>8</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>A.</given-names> 
<surname>Oliver</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Tortajada</surname></string-name>, <string-name>
<given-names>X.</given-names> 
<surname>Llad&#x00F3;</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Freixenet</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Ganau</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Breast density analysis using an automatic density segmentation algorithm</article-title>,&#x201D; 
<source>Journal of Digital Imaging</source>, vol. 
<volume>28</volume>, no. 
<issue>5</issue>, pp. 
<fpage>604</fpage>&#x2013;
<lpage>612</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-9">
<label>9</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>A.</given-names> 
<surname>Rampun</surname></string-name>, <string-name>
<given-names>B.</given-names> 
<surname>Scotney</surname></string-name>, <string-name>
<given-names>P.</given-names> 
<surname>Morrow</surname></string-name>, <string-name>
<given-names>H.</given-names> 
<surname>Wang</surname></string-name> and <string-name>
<given-names>J.</given-names> 
<surname>Winder</surname></string-name>
</person-group>, &#x201C;
<article-title>Breast density classification using local quinary patterns with various neighbourhood topologies</article-title>,&#x201D; 
<source>Journal of Imaging</source>, vol. 
<volume>4</volume>, no. 
<issue>1</issue>, pp. 
<fpage>14</fpage>, 
<year>2018</year>.</mixed-citation>
</ref>
<ref id="ref-10">
<label>10</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>L. J.</given-names> 
<surname>Warren</surname></string-name>
</person-group>, &#x201C;
<article-title>Variability in interpretive performance at screening mammography and radiologists&#x2019; characteristics associated with accuracy</article-title>,&#x201D; 
<source>Breast Diseases: A Year Book Quarterly</source>, vol. 
<volume>21</volume>, no. 
<issue>4</issue>, pp. 
<fpage>330</fpage>&#x2013;
<lpage>332</lpage>, 
<year>2010</year>.</mixed-citation>
</ref>
<ref id="ref-11">
<label>11</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>B. W.</given-names> 
<surname>Hong</surname></string-name> and <string-name>
<given-names>B. S.</given-names> 
<surname>Sohn</surname></string-name>
</person-group>, &#x201C;
<article-title>Segmentation of regions of interest in mammograms in a topographic approach</article-title>,&#x201D; 
<source>IEEE Transactions of Information Technology Biomedical</source>, vol. 
<volume>14</volume>, no. 
<issue>1</issue>, pp. 
<fpage>129</fpage>&#x2013;
<lpage>139</lpage>, 
<year>2010</year>.</mixed-citation>
</ref>
<ref id="ref-12">
<label>12</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J.</given-names> 
<surname>Tang</surname></string-name>, <string-name>
<given-names>R. M.</given-names> 
<surname>Rangayyan</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Xu</surname></string-name>, <string-name>
<given-names>I. El</given-names> 
<surname>Naqa</surname></string-name> and <string-name>
<given-names>Y.</given-names> 
<surname>Yang</surname></string-name>
</person-group>, &#x201C;
<article-title>Computer-aided detection and diagnosis of breast cancer with mammography: Recent advances</article-title>,&#x201D; 
<source>IEEE Transactions of Information Technology Biomedical</source>, vol. 
<volume>13</volume>, no. 
<issue>2</issue>, pp. 
<fpage>236</fpage>&#x2013;
<lpage>251</lpage>, 
<year>2009</year>.</mixed-citation>
</ref>
<ref id="ref-13">
<label>13</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J. J.</given-names> 
<surname>Fenton</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Egger</surname></string-name>, <string-name>
<given-names>P. A.</given-names> 
<surname>Carney</surname></string-name>, <string-name>
<given-names>G.</given-names> 
<surname>Cutter</surname></string-name>, <string-name>
<given-names>C.</given-names> 
<surname>D&#x2019;Orsi</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Reality check: Perceived versus actual performance of community mammographers</article-title>,&#x201D; 
<source>American Journal of Roentgenology</source>, vol. 
<volume>187</volume>, no. 
<issue>1</issue>, pp. 
<fpage>42</fpage>&#x2013;
<lpage>46</lpage>, 
<year>2006</year>.</mixed-citation>
</ref>
<ref id="ref-14">
<label>14</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>C. W.</given-names> 
<surname>Huo</surname></string-name>, <string-name>
<given-names>G. L.</given-names> 
<surname>Chew</surname></string-name>, <string-name>
<given-names>K. L.</given-names> 
<surname>Britt</surname></string-name>, <string-name>
<given-names>W. V.</given-names> 
<surname>Ingman</surname></string-name>, <string-name>
<given-names>M. A.</given-names> 
<surname>Henderson</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Mammographic density&#x2014;A review on the current understanding of its association with breast cancer</article-title>,&#x201D; 
<source>Breast Cancer Research and Treatment</source>, vol. 
<volume>144</volume>, no. 
<issue>3</issue>, pp. 
<fpage>479</fpage>&#x2013;
<lpage>502</lpage>, 
<year>2014</year>.</mixed-citation>
</ref>
<ref id="ref-15">
<label>15</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>W. A.</given-names> 
<surname>Berg</surname></string-name>, <string-name>
<given-names>C.</given-names> 
<surname>Campassi</surname></string-name>, <string-name>
<given-names>P.</given-names> 
<surname>Langenberg</surname></string-name> and <string-name>
<given-names>M. J.</given-names> 
<surname>Sexton</surname></string-name>
</person-group>, &#x201C;
<article-title>Breast imaging reporting and data system: Inter- and intraobserver variability in feature analysis and final assessment</article-title>,&#x201D; 
<source>American Journal of Roentgenology</source>, vol. 
<volume>174</volume>, no. 
<issue>6</issue>, pp. 
<fpage>1769</fpage>&#x2013;
<lpage>1777</lpage>, 
<year>2000</year>.</mixed-citation>
</ref>
<ref id="ref-16">
<label>16</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>F.</given-names> 
<surname>Winsberg</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Elkin</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Macy</surname></string-name>, <string-name>
<given-names>V.</given-names> 
<surname>Bordaz</surname></string-name> and <string-name>
<given-names>W.</given-names> 
<surname>Weymouth</surname></string-name>
</person-group>, &#x201C;
<article-title>Detection of radiographic abnormalities in mammograms by means of optical scanning and computer analysis</article-title>,&#x201D; 
<source>Radiology</source>, vol. 
<volume>89</volume>, no. 
<issue>2</issue>, pp. 
<fpage>211</fpage>&#x2013;
<lpage>215</lpage>, 
<year>1967</year>.</mixed-citation>
</ref>
<ref id="ref-17">
<label>17</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>W.</given-names> 
<surname>He</surname></string-name>, <string-name>
<given-names>A.</given-names> 
<surname>Juette</surname></string-name>, <string-name>
<given-names>E. R. E.</given-names> 
<surname>Denton</surname></string-name>, <string-name>
<given-names>A.</given-names> 
<surname>Oliver</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Mart&#x00ED;</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>A review on automatic mammographic density and parenchymal segmentation</article-title>,&#x201D; 
<source>International Journal of Breast Cancer</source>, vol. 
<volume>12</volume>, no. 
<issue>1</issue>, pp. 
<fpage>105</fpage>&#x2013;
<lpage>117</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-18">
<label>18</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>A.</given-names> 
<surname>Oliver</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Freixenet</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Mart&#x00ED;</surname></string-name>, <string-name>
<given-names>E.</given-names> 
<surname>P&#x00E9;rez</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Pont</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>A review of automatic mass detection and segmentation in mammographic images</article-title>,&#x201D; 
<source>Medical Image Analysis</source>, vol. 
<volume>14</volume>, no. 
<issue>2</issue>, pp. 
<fpage>87</fpage>&#x2013;
<lpage>110</lpage>, 
<year>2010</year>.</mixed-citation>
</ref>
<ref id="ref-19">
<label>19</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M. L.</given-names> 
<surname>Giger</surname></string-name>, <string-name>
<given-names>N.</given-names> 
<surname>Karssemeijer</surname></string-name> and <string-name>
<given-names>J. A.</given-names> 
<surname>Schnabel</surname></string-name>
</person-group>, &#x201C;
<article-title>Breast image analysis for risk assessment detection diagnosis and treatment of cancer</article-title>,&#x201D; 
<source>Annual Review of Biomedical Engineering</source>, vol. 
<volume>15</volume>, no. 
<issue>1</issue>, pp. 
<fpage>327</fpage>&#x2013;
<lpage>357</lpage>, 
<year>2013</year>.</mixed-citation>
</ref>
<ref id="ref-20">
<label>20</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>Y.</given-names> 
<surname>Bengio</surname></string-name>
</person-group>, &#x201C;
<article-title>Learning deep architectures for AI</article-title>,&#x201D; 
<source>Foundations Trends in Machine Learning</source>, vol. 
<volume>2</volume>, no. 
<issue>1</issue>, pp. 
<fpage>1</fpage>&#x2013;
<lpage>127</lpage>, 
<year>2009</year>.</mixed-citation>
</ref>
<ref id="ref-21">
<label>21</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>Z.</given-names> 
<surname>Jiao</surname></string-name>, <string-name>
<given-names>X.</given-names> 
<surname>Gao</surname></string-name>, <string-name>
<given-names>Y.</given-names> 
<surname>Wang</surname></string-name> and <string-name>
<given-names>J.</given-names> 
<surname>Li</surname></string-name>
</person-group>, &#x201C;
<article-title>A parasitic metric learning net for breast mass classification based on mammography</article-title>,&#x201D; 
<source>Pattern Recognition</source>, vol. 
<volume>75</volume>, no. 
<issue>1</issue>, pp. 
<fpage>292</fpage>&#x2013;
<lpage>301</lpage>, 
<year>2018</year>.</mixed-citation>
</ref>
<ref id="ref-22">
<label>22</label><mixed-citation publication-type="conf-proc">
<person-group person-group-type="author"><string-name>
<given-names>M. D.</given-names> 
<surname>Zeiler</surname></string-name>, <string-name>
<given-names>G. W.</given-names> 
<surname>Taylor</surname></string-name> and <string-name>
<given-names>R.</given-names> 
<surname>Fergus</surname></string-name>
</person-group>, &#x201C;
<article-title>Adaptive deconvolutional networks for mid and high level feature learning</article-title>,&#x201D; in <conf-name>Proc. Int. Conf. Computing Visuality</conf-name>, 
<publisher-loc>NY, USA</publisher-loc>, pp. 
<fpage>2018</fpage>&#x2013;
<lpage>2025</lpage>, 
<year>2011</year>. </mixed-citation>
</ref>
<ref id="ref-23">
<label>23</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>S.</given-names> 
<surname>Gupta</surname></string-name> and <string-name>
<given-names>M. K.</given-names> 
<surname>Markey</surname></string-name>
</person-group>, &#x201C;
<article-title>Correspondence in texture features between two mammographic views</article-title>,&#x201D; 
<source>Medical Physics</source>, vol. 
<volume>32</volume>, no. 
<issue>1</issue>, pp. 
<fpage>1598</fpage>&#x2013;
<lpage>1606</lpage>, 
<year>2005</year>.</mixed-citation>
</ref>
<ref id="ref-24">
<label>24</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>W.</given-names> 
<surname>Qian</surname></string-name>, <string-name>
<given-names>X.</given-names> 
<surname>Sun</surname></string-name>, <string-name>
<given-names>D.</given-names> 
<surname>Song</surname></string-name> and <string-name>
<given-names>R. A.</given-names> 
<surname>Clark</surname></string-name>
</person-group>, &#x201C;
<article-title>Digital mammography: Wavelet transform and Kalman-filtering neural network in mass segmentation and detection</article-title>,&#x201D; 
<source>Academic Radiology</source>, vol. 
<volume>8</volume>, no. 
<issue>11</issue>, pp. 
<fpage>1074</fpage>&#x2013;
<lpage>1082</lpage>, 
<year>2001</year>.</mixed-citation>
</ref>
<ref id="ref-25">
<label>25</label><mixed-citation publication-type="conf-proc">
<person-group person-group-type="author"><string-name>
<given-names>Z.</given-names> 
<surname>Chen</surname></string-name>, <string-name>
<given-names>E.</given-names> 
<surname>Denton</surname></string-name> and <string-name>
<given-names>R.</given-names> 
<surname>Zwiggelaar</surname></string-name>
</person-group>, &#x201C;
<article-title>Local feature based mammographic tissue pattern modelling and breast density classification</article-title>,&#x201D; in <conf-name>Proc. 4th Int. Conf. Biomedical Engineering Informatics</conf-name>, 
<publisher-loc>Cairo, Egypt</publisher-loc>, pp. 
<fpage>351</fpage>&#x2013;
<lpage>355</lpage>, 
<year>2011</year>. </mixed-citation>
</ref>
<ref id="ref-26">
<label>26</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>G.</given-names> 
<surname>Litjens</surname></string-name>, <string-name>
<given-names>T.</given-names> 
<surname>Kooi</surname></string-name>, <string-name>
<given-names>B. E.</given-names> 
<surname>Bejnordi</surname></string-name>, <string-name>
<given-names>A. A. A.</given-names> 
<surname>Setio</surname></string-name>, <string-name>
<given-names>F.</given-names> 
<surname>Ciompi</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>A survey on deep learning in medical image analysis</article-title>,&#x201D; 
<source>Medical Image Analysis</source>, vol. 
<volume>42</volume>, no. 
<issue>13</issue>, pp. 
<fpage>60</fpage>&#x2013;
<lpage>88</lpage>, 
<year>2017</year>.</mixed-citation>
</ref>
<ref id="ref-27">
<label>27</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>D.</given-names> 
<surname>Shen</surname></string-name>, <string-name>
<given-names>G.</given-names> 
<surname>Wu</surname></string-name> and <string-name>
<given-names>H.</given-names> 
<surname>Suk</surname></string-name>
</person-group>, &#x201C;
<article-title>Deep learning in medical image analysis</article-title>,&#x201D; 
<source>Annual Review of Biomedical Engineering</source>, vol. 
<volume>19</volume>, no. 
<issue>1</issue>, pp. 
<fpage>221</fpage>&#x2013;
<lpage>248</lpage>, 
<year>2017</year>.</mixed-citation>
</ref>
<ref id="ref-28">
<label>28</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>H. C.</given-names> 
<surname>Shin</surname></string-name>, <string-name>
<given-names>H. R.</given-names> 
<surname>Roth</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Gao</surname></string-name>, <string-name>
<given-names>L.</given-names> 
<surname>Lu</surname></string-name>, <string-name>
<given-names>Z.</given-names> 
<surname>Xu</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Deep convolutional neural networks for computer-aided detection: CNN architectures dataset characteristics and transfer learning</article-title>,&#x201D; 
<source>IEEE Transactions on Medical Imaging</source>, vol. 
<volume>35</volume>, no. 
<issue>5</issue>, pp. 
<fpage>1285</fpage>&#x2013;
<lpage>1298</lpage>, 
<year>2016</year>.</mixed-citation>
</ref>
<ref id="ref-29">
<label>29</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>L.</given-names> 
<surname>Zhang</surname></string-name>, <string-name>
<given-names>L.</given-names> 
<surname>Lu</surname></string-name>, <string-name>
<given-names>R. M.</given-names> 
<surname>Summers</surname></string-name>, <string-name>
<given-names>E.</given-names> 
<surname>Kebebew</surname></string-name> and <string-name>
<given-names>J.</given-names> 
<surname>Yao</surname></string-name>
</person-group>, &#x201C;
<article-title>Convolutional invasion and expansion networks for tumor growth prediction</article-title>,&#x201D; 
<source>IEEE Transactions on Medical Imaging</source>, vol. 
<volume>37</volume>, no. 
<issue>2</issue>, pp. 
<fpage>638</fpage>&#x2013;
<lpage>648</lpage>, 
<year>2018</year>.</mixed-citation>
</ref>
<ref id="ref-30">
<label>30</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J. F.</given-names> 
<surname>Ramirez-Villegas</surname></string-name> and <string-name>
<given-names>D. F.</given-names> 
<surname>Ramirez-Moreno</surname></string-name>
</person-group>, &#x201C;
<article-title>Wavelet packet energy tsallis entropy and statistical parameterization for support vector-based and neural-based classification of mammographic regions</article-title>,&#x201D; 
<source>Neurocomputing</source>, vol. 
<volume>77</volume>, no. 
<issue>1</issue>, pp. 
<fpage>82</fpage>&#x2013;
<lpage>100</lpage>, 
<year>2012</year>.</mixed-citation>
</ref>
<ref id="ref-31">
<label>31</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>Y.</given-names> 
<surname>LeCun</surname></string-name>, <string-name>
<given-names>Y.</given-names> 
<surname>Bengio</surname></string-name> and <string-name>
<given-names>G.</given-names> 
<surname>Hinton</surname></string-name>
</person-group>, &#x201C;
<article-title>Deep learning</article-title>,&#x201D; 
<source>Nature</source>, vol. 
<volume>521</volume>, no. 
<issue>7553</issue>, pp. 
<fpage>436</fpage>&#x2013;
<lpage>444</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-32">
<label>32</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J.</given-names> 
<surname>Schmidhuber</surname></string-name>
</person-group>, &#x201C;
<article-title>Deep learning in neural networks: An overview</article-title>,&#x201D; 
<source>Neural Networks</source>, vol. 
<volume>61</volume>, no. 
<issue>3</issue>, pp. 
<fpage>85</fpage>&#x2013;
<lpage>117</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-33">
<label>33</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>S. A.</given-names> 
<surname>Agnes</surname></string-name>, <string-name>
<given-names>J.</given-names> 
<surname>Anitha</surname></string-name>, <string-name>
<given-names>S. I. A.</given-names> 
<surname>Pandian</surname></string-name> and <string-name>
<given-names>J. D.</given-names> 
<surname>Peter</surname></string-name>
</person-group>, &#x201C;
<article-title>Classification of mammogram images using multiscale all convolutional neural network (MA-CNN)</article-title>,&#x201D; 
<source>Journal of Medical Systems</source>, vol. 
<volume>44</volume>, no. 
<issue>1</issue>, pp. 
<fpage>548</fpage>, 
<year>2020</year>.</mixed-citation>
</ref>
<ref id="ref-34">
<label>34</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>A.</given-names> 
<surname>Iqbal</surname></string-name>, <string-name>
<given-names>N. A.</given-names> 
<surname>Valous</surname></string-name>, <string-name>
<given-names>F.</given-names> 
<surname>Mendoza</surname></string-name>, <string-name>
<given-names>D. W.</given-names> 
<surname>Sun</surname></string-name> and <string-name>
<given-names>P.</given-names> 
<surname>Allen</surname></string-name>
</person-group>, &#x201C;
<article-title>Classification of pre-sliced pork and Turkey ham qualities based on image colour and textural features and their relationships with consumer responses</article-title>,&#x201D; 
<source>Meat Science</source>, vol. 
<volume>84</volume>, no. 
<issue>3</issue>, pp. 
<fpage>455</fpage>&#x2013;
<lpage>465</lpage>, 
<year>2010</year>.</mixed-citation>
</ref>
<ref id="ref-35">
<label>35</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>J.</given-names> 
<surname>Erazo-Aux</surname></string-name>, <string-name>
<given-names>H.</given-names> 
<surname>Loaiza-Correa</surname></string-name> and <string-name>
<given-names>A. D.</given-names> 
<surname>Restrepo-Giron</surname></string-name>
</person-group>, &#x201C;
<article-title>Histograms of oriented gradients for automatic detection of defective regions in thermograms</article-title>,&#x201D; 
<source>Applied Optics</source>, vol. 
<volume>58</volume>, no. 
<issue>13</issue>, pp. 
<fpage>3620</fpage>, 
<year>2019</year>.</mixed-citation>
</ref>
<ref id="ref-36">
<label>36</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>T.</given-names> 
<surname>Li</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Song</surname></string-name>, <string-name>
<given-names>Q.</given-names> 
<surname>Yin</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Gao</surname></string-name> and <string-name>
<given-names>Y.</given-names> 
<surname>Chen</surname></string-name>
</person-group>, &#x201C;
<article-title>Identification of S-nitrosylation sites based on multiple features combination</article-title>,&#x201D; 
<source>Scientific Reports</source>, vol. 
<volume>9</volume>, no. 
<issue>1</issue>, pp. 
<fpage>391</fpage>, 
<year>2019</year>.</mixed-citation>
</ref>
<ref id="ref-37">
<label>37</label><mixed-citation publication-type="conf-proc">
<person-group person-group-type="author"><string-name>
<given-names>T.</given-names> 
<surname>Chen</surname></string-name> and <string-name>
<given-names>C.</given-names> 
<surname>Guestrin</surname></string-name>
</person-group>, &#x201C;
<article-title>XGBoost: A scalable tree boosting system</article-title>,&#x201D; in <conf-name>Proc. 22nd ACM SIGKDD Int. Conf. of Knowledge Discovery Data Mining (KDD)</conf-name>, 
<publisher-loc>Cleveland, USA</publisher-loc>, pp. 
<fpage>785</fpage>&#x2013;
<lpage>794</lpage>, 
<year>2016</year>. </mixed-citation>
</ref>
<ref id="ref-38">
<label>38</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>P.</given-names> 
<surname>Montero-Manso</surname></string-name>, <string-name>
<given-names>G.</given-names> 
<surname>Athanasopoulos</surname></string-name>, <string-name>
<given-names>R. J.</given-names> 
<surname>Hyndman</surname></string-name> and <string-name>
<given-names>T. S.</given-names> 
<surname>Talagala</surname></string-name>
</person-group>, &#x201C;
<article-title>FFORMA: Feature-based forecast model averaging</article-title>,&#x201D; 
<source>International Journal of Forecasting</source>, vol. 
<volume>36</volume>, no. 
<issue>1</issue>, pp. 
<fpage>86</fpage>&#x2013;
<lpage>92</lpage>, 
<year>2020</year>.</mixed-citation>
</ref>
<ref id="ref-39">
<label>39</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M. Z. D.</given-names> 
<surname>Nascimento</surname></string-name>, <string-name>
<given-names>A. S.</given-names> 
<surname>Martins</surname></string-name>, <string-name>
<given-names>L. A.</given-names> 
<surname>Neves</surname></string-name>, <string-name>
<given-names>R. P.</given-names> 
<surname>Ramos</surname></string-name>, <string-name>
<given-names>E. L.</given-names> 
<surname>Flores</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Classification of masses in mammographic image using wavelet domain features and polynomial classifier</article-title>,&#x201D; 
<source>Expert Systems with Applications</source>, vol. 
<volume>40</volume>, no. 
<issue>15</issue>, pp. 
<fpage>6213</fpage>&#x2013;
<lpage>6221</lpage>, 
<year>2013</year>.</mixed-citation>
</ref>
<ref id="ref-40">
<label>40</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M.</given-names> 
<surname>Jiang</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Zhang</surname></string-name>, <string-name>
<given-names>Y.</given-names> 
<surname>Zheng</surname></string-name> and <string-name>
<given-names>D. N.</given-names> 
<surname>Metaxas</surname></string-name>
</person-group>, &#x201C;
<article-title>Mammographic mass segmentation with online learned shape and appearance priors</article-title>,&#x201D; 
<source>Medical Image Computation-Assistant Intervent</source>, vol. 
<volume>43</volume>, no. 
<issue>1</issue>, pp. 
<fpage>35</fpage>&#x2013;
<lpage>43</lpage>, 
<year>2016</year>.</mixed-citation>
</ref>
<ref id="ref-41">
<label>41</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M.</given-names> 
<surname>Kallenberg</surname></string-name>, <string-name>
<given-names>K.</given-names> 
<surname>Petersen</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Nielsen</surname></string-name>, <string-name>
<given-names>A. Y.</given-names> 
<surname>Ng</surname></string-name>, <string-name>
<given-names>P.</given-names> 
<surname>Diao</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Unsupervised deep learning applied to breast density segmentation and mammographic risk scoring</article-title>,&#x201D; 
<source>IEEE Transactions on Medical Imaging</source>, vol. 
<volume>35</volume>, no. 
<issue>5</issue>, pp. 
<fpage>1322</fpage>&#x2013;
<lpage>1331</lpage>, 
<year>2016</year>.</mixed-citation>
</ref>
<ref id="ref-42">
<label>42</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M.</given-names> 
<surname>Jiang</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Zhang</surname></string-name>, <string-name>
<given-names>H.</given-names> 
<surname>Li</surname></string-name> and <string-name>
<given-names>D. N.</given-names> 
<surname>Metaxas</surname></string-name>
</person-group>, &#x201C;
<article-title>Computer-aided diagnosis of mammographic masses using scalable image retrieval</article-title>,&#x201D; 
<source>IEEE Transactions on Biomedical Engineering</source>, vol. 
<volume>62</volume>, no. 
<issue>2</issue>, pp. 
<fpage>783</fpage>&#x2013;
<lpage>792</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-43">
<label>43</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>M.</given-names> 
<surname>Heath</surname></string-name>, <string-name>
<given-names>K.</given-names> 
<surname>Bowyer</surname></string-name>, <string-name>
<given-names>D.</given-names> 
<surname>Kopans</surname></string-name>, <string-name>
<given-names>P.</given-names> 
<surname>Kegelmeyer</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Moore</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Current status of the digital database for screening mammography</article-title>,&#x201D; 
<source>Digital Mammography</source>, vol. 
<volume>13</volume>, no. 
<issue>1</issue>, pp. 
<fpage>457</fpage>&#x2013;
<lpage>460</lpage>, 
<year>1998</year>.</mixed-citation>
</ref>
<ref id="ref-44">
<label>44</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>G. D.</given-names> 
<surname>Tourassi</surname></string-name>, <string-name>
<given-names>B.</given-names> 
<surname>Harrawood</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Singh</surname></string-name>, <string-name>
<given-names>J. Y.</given-names> 
<surname>Lo</surname></string-name> and <string-name>
<given-names>C. E.</given-names> 
<surname>Floyd</surname></string-name>
</person-group>, &#x201C;
<article-title>Evaluation of information-theoretic similarity measures for content-based retrieval and detection of masses in mammograms</article-title>,&#x201D; 
<source>Medical Physics</source>, vol. 
<volume>34</volume>, no. 
<issue>1</issue>, pp. 
<fpage>140</fpage>&#x2013;
<lpage>150</lpage>, 
<year>2007</year>.</mixed-citation>
</ref>
<ref id="ref-45">
<label>45</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>B.</given-names> 
<surname>Zheng</surname></string-name>, <string-name>
<given-names>A.</given-names> 
<surname>Lu</surname></string-name>, <string-name>
<given-names>L. A.</given-names> 
<surname>Hardesty</surname></string-name>, <string-name>
<given-names>J. H.</given-names> 
<surname>Sumkin</surname></string-name>, <string-name>
<given-names>C. M.</given-names> 
<surname>Hakim</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>A method to improve visual similarity of breast masses for an interactive computer-aided diagnosis environment</article-title>,&#x201D; 
<source>Medical Physics</source>, vol. 
<volume>33</volume>, no. 
<issue>1</issue>, pp. 
<fpage>111</fpage>&#x2013;
<lpage>117</lpage>, 
<year>2006</year>.</mixed-citation>
</ref>
<ref id="ref-46">
<label>46</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>S. C.</given-names> 
<surname>Park</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Sukthankar</surname></string-name>, <string-name>
<given-names>L.</given-names> 
<surname>Mummert</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Satyanarayanan</surname></string-name> and <string-name>
<given-names>B.</given-names> 
<surname>Zheng</surname></string-name>
</person-group>, &#x201C;
<article-title>Optimization of reference library used in content-based medical image retrieval scheme</article-title>,&#x201D; 
<source>Medical Physics</source>, vol. 
<volume>34</volume>, no. 
<issue>11</issue>, pp. 
<fpage>4331</fpage>&#x2013;
<lpage>4339</lpage>, 
<year>2007</year>.</mixed-citation>
</ref>
<ref id="ref-47">
<label>47</label><mixed-citation publication-type="conf-proc">
<person-group person-group-type="author"><string-name>
<given-names>C.</given-names> 
<surname>Szegedy</surname></string-name>, <string-name>
<given-names>W.</given-names> 
<surname>Liu</surname></string-name>, <string-name>
<given-names>Y.</given-names> 
<surname>Jia</surname></string-name>, <string-name>
<given-names>P.</given-names> 
<surname>Sermanet</surname></string-name>, <string-name>
<given-names>S.</given-names> 
<surname>Reed</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Going deeper with convolutions</article-title>,&#x201D; in <conf-name>Proc. IEEE Conf. computing Visual Pattern Recognition</conf-name>, 
<publisher-loc>Athens, Greece</publisher-loc>, pp. 
<fpage>1</fpage>&#x2013;
<lpage>9</lpage>, 
<year>2015</year>. </mixed-citation>
</ref>
<ref id="ref-48">
<label>48</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>R. K.</given-names> 
<surname>Samala</surname></string-name>, <string-name>
<given-names>H. P.</given-names> 
<surname>Chan</surname></string-name>, <string-name>
<given-names>L. M.</given-names> 
<surname>Hadjiiski</surname></string-name>, <string-name>
<given-names>M. A.</given-names> 
<surname>Helvie</surname></string-name>, <string-name>
<given-names>K. H.</given-names> 
<surname>Cha</surname></string-name> <etal>et al.</etal>
</person-group><italic>,</italic> &#x201C;
<article-title>Multi-task transfer learning deep convolutional neural network: Application to computer-aided diagnosis of breast cancer on mammograms</article-title>,&#x201D; 
<source>Physics in Medicine &#x0026; Biology</source>, vol. 
<volume>62</volume>, no. 
<issue>23</issue>, pp. 
<fpage>8894</fpage>&#x2013;
<lpage>8908</lpage>, 
<year>2017</year>.</mixed-citation>
</ref>
<ref id="ref-49">
<label>49</label><mixed-citation publication-type="conf-proc">
<person-group person-group-type="author"><string-name>
<given-names>S.</given-names> 
<surname>Arora</surname></string-name>, <string-name>
<given-names>A.</given-names> 
<surname>Bhaskara</surname></string-name>, <string-name>
<given-names>R.</given-names> 
<surname>Ge</surname></string-name> and <string-name>
<given-names>T.</given-names> 
<surname>Ma</surname></string-name>
</person-group>, &#x201C;
<article-title>Provable bounds for learning some deep representations</article-title>,&#x201D; in <conf-name>Proc. of Int. Conf. Machine Learning</conf-name>, 
<publisher-loc>NY, USA</publisher-loc>, pp. 
<fpage>584</fpage>&#x2013;
<lpage>592</lpage>, 
<year>2014</year>. </mixed-citation>
</ref>
<ref id="ref-50">
<label>50</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>Y.</given-names> 
<surname>Zhao</surname></string-name>, <string-name>
<given-names>M. C. A.</given-names> 
<surname>Lin</surname></string-name>, <string-name>
<given-names>M.</given-names> 
<surname>Farajzadeh</surname></string-name> and <string-name>
<given-names>N. L.</given-names> 
<surname>Wayne</surname></string-name>
</person-group>, &#x201C;
<article-title>Early development of the gonadotropin-releasing hormone neuronal network in transgenic zebrafish</article-title>,&#x201D; 
<source>Frontiers in Endocrinology</source>, vol. 
<volume>4</volume>, pp. 
<fpage>107</fpage>, 
<year>2013</year>.</mixed-citation>
</ref>
<ref id="ref-51">
<label>51</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>L.</given-names> 
<surname>Tsochatzidis</surname></string-name>, <string-name>
<given-names>L.</given-names> 
<surname>Costaridou</surname></string-name> and <string-name>
<given-names>I.</given-names> 
<surname>Pratikakis</surname></string-name>
</person-group>, &#x201C;
<article-title>Deep learning for breast cancer diagnosis from mammograms&#x2014;A comparative study</article-title>,&#x201D; 
<source>Journal of Imaging</source>, vol. 
<volume>5</volume>, no. 
<issue>3</issue>, pp. 
<fpage>37</fpage>, 
<year>2019</year>.</mixed-citation>
</ref>
<ref id="ref-52">
<label>52</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>S.</given-names> 
<surname>Ioffe</surname></string-name> and <string-name>
<given-names>C.</given-names> 
<surname>Szegedy</surname></string-name>
</person-group>, &#x201C;
<article-title>Batch normalization: Accelerating deep network training by reducing internal covariate shift</article-title>,&#x201D; 
<source>Medical Image Analysis</source>, vol. 
<volume>40</volume>, pp. 
<fpage>60</fpage>&#x2013;
<lpage>88</lpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-53">
<label>53</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>Y. N.</given-names> 
<surname>Fedorov</surname></string-name> and <string-name>
<given-names>A. N. W.</given-names> 
<surname>Hone</surname></string-name>
</person-group>, &#x201C;
<article-title>Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties</article-title>,&#x201D; 
<source>Journal of Integrable Systems</source>, vol. 
<volume>1</volume>, no. 
<issue>1</issue>, pp. 
<fpage>xyw012</fpage>, 
<year>2015</year>.</mixed-citation>
</ref>
<ref id="ref-54">
<label>54</label><mixed-citation publication-type="journal">
<person-group person-group-type="author"><string-name>
<given-names>R. M.</given-names> 
<surname>Haralick</surname></string-name>, <string-name>
<given-names>K.</given-names> 
<surname>Shanmugam</surname></string-name> and <string-name>
<given-names>I.</given-names> 
<surname>Dinstein</surname></string-name>
</person-group>, &#x201C;
<article-title>Textural features for image classification</article-title>,&#x201D; 
<source>IEEE Transaction of System Man Cybernetics System</source>, vol. 
<volume>3</volume>, no. 
<issue>6</issue>, pp. 
<fpage>610</fpage>&#x2013;
<lpage>621</lpage>, 
<year>1973</year>.</mixed-citation>
</ref>
</ref-list>
</back>
</article>