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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Lung images classification with textural characteristics and hybrid classification schemes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleksandr Davydko</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Artificial Intelligence and Cognitive Load Lab, The Applied Intelligence Research Centre, School of Computer Science, Technological University Dublin (TU Dublin)</institution>
          ,
          <addr-line>Dublin, D07 EWV4</addr-line>
          ,
          <country country="IE">Ireland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The current study aims to develop lung lesions diagnostics methods on CT images that can be used in novel medical decision support systems. The study considers methods of textural analysis, hybrid classification structures and group method of data handling to improve existing classification solutions and archive higher classification quality. Also, the explainability of the resulting classifier is considered. The current research was started during the COVID-19 outbreak when the urgent need for eficient medical image diagnostic systems emerged, so the ultimate goal of the study is to propose an eficient pipeline for the classification of lung images in X-Ray and computer tomography modalities. Medical image classification is a well-known task, and there are a lot of known methods for solving it. However, any technique that will increase classification quality is highly appreciated in the medical context because even one misclassified image can have severe consequences. That fact works as a primary motivating factor for the current research. The classifier quality mainly depends on the input features and classification algorithm. Recent work considers methods to improve both of these aspects. The first part of the research lies in the context of texture analysis (TA). Methods of TA are proven to be efective for extracting features for image classification [ 1, 2, 3]. Many works discuss the usage of global texture descriptors with aggregative second-order statistics like Haralick features [4]. At the same time, other methods for aggregating raw texture information are discovered, much less, making that question actual for consideration. The second part of the research focuses on classification algorithms improvement. Decision tree-based algorithms are one of the oldest but essential in real-world tasks. Still, those algorithms need improvements to compete with modern neural network solutions. The improvements to the classifier could be made in several aspects. Classical Random-Forest features the constant number of trees in the forest defined as an algorithm hyperparameter, but building decision-tree forests with optimal complexity structure can lead to better classifier performance. Principles of the group method of data handling (GMDH) [ 5] provides tools to archive stated tasks. Paper [6] shows that proposing more sophisticated</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Context and motivation</title>
      <p>
        methods of tree voting instead of simple majority voting can improve classification quality. This
leads to the idea that more complex voting approaches can increase the classifier performance.
Finally, integrating diferent classification structures into a single pipeline allows the usage
of each structure’s advantages, as shown in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. At the same time, when input contains many
features, the explainability of such a classifier will drastically degrade as existing model-agnostic
methods do not provide suficient computational speed. So, another question to address is the
development of a model-specific explanation method which will provide the researcher with a
suitable level of computational speed.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related work</title>
      <p>The classification of medical images is a well-known task in machine learning. There are several
approaches to building a feature space for the classifier:
• Using pixel intensities as an input
• Using image texture characteristics (local and global)</p>
      <p>
        At the same time, both approaches generate enormous size feature space, which must be
reduced. Neural networks are mainly used to address this issue when using pixel intensities.
Convolutional and linear layers are intended to extract and transform features from the image
matrix input during the forward pass. One of the most successful architectures implementing the
described idea is RMT-Net [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] which is built as an extension of vision transformer neural network
architecture [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Texture characteristics are a big group of diferent methods, including global and
local characteristics. Global characteristics are descriptors of the whole image and form the static
feature space. Examples of global characteristics are grey-level co-occurrence matrices (GLCM),
grey-level run-length matrices (GLRLM), grey-level size zone matrices (GLSZM), neighbouring
grey-tone diference matrices (NGTDM), grey-level dependency matrices (GLDM), grey-level
entropy matrices (GLEM) but not limited to that list. Local characteristics are descriptors of
the image’s local areas, such as pixel neighbourhood zone or image patches. Examples are but
not limited to local binary patterns (LBP) [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], scale-invariant texture descriptors (SIFT) [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ],
speeded-up robust features (SURF) [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Works [
        <xref ref-type="bibr" rid="ref13 ref14 ref4">13, 4, 14</xref>
        ] also introduce second-order statistics,
which are aggregating GLCM, GLRLM, GLSZM and other matrices into feature vectors and
works [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1, 2, 3</xref>
        ] show the ability of such statistics to act as features for image classification.
However, using the texture characteristics matrices without using second-order statistics is
not developed very much. Some works discuss such topics but are constrained to using only
GLCM and GLRLM matrices, omitting other descriptors. The current research discusses using
as many global and local texture descriptors as possible to improve classification quality. The
classification quality can also be improved by optimising the classifier structure and improving
training algorithms. Works [
        <xref ref-type="bibr" rid="ref15 ref7">7, 15, 16</xref>
        ] show examples of hybridising neural networks with other
classifiers such as support vector machine (SVM) or Random Forest and prove the efectiveness
of such hybrid schemes by getting better classification metrics. In this case, the neural network
is the feature extractor for the second classification part. The results of these experiments lead
us to the idea that improving the results of the second classifier may also improve the overall
result of the hybrid structure. In the case of the Random-Forest-like algorithms, improving the
classification quality can be archived by optimising tree structures. The principles of GMDH
provide us with tools for building each tree and whole forest optimally for particular classification
tasks. Also, using the advanced tree voting functions can positively afect classification quality.
For instance, work [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] shows that Bayesian Tree Aggregation can deliver better results than
standard majority voting schemes. However, this question requires further investigation. To
archive better classification results, current work discusses a novel pipeline, which includes
the usage of several texture characteristics matrices types in a raw form and a hybrid classifier
consisting of a neural network and novel forest-based algorithm with enhanced tree-structure
building and logistic voting function with feature blending. Explainability is a crucial part of
a designed solution. The SHapley Additive exPlanation (SHAP) [17] and Local Interpretable
Model-Agnostic Explanations (LIME) [18] can be used to provide explanations while using
the proposed classifier. However, computational speed concerns exist as the number of input
features is too large when using textural matrices. A suficient performance level is archived
when using Integrated Gradients, GradCAM, and DeepSHAP methods, but they are limited
to neural network usage. Given that, current work also considers the development of the
appropriate explainability method to support explanations for the hybrid classification schemes.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Research question and hypothesis</title>
      <p>The current research considers the following study to be answered: To what extent a hybrid
classification structure consisting of a neural network and enhanced decision-tree forest with raw
texture characteristics matrices at the input can improve the quality of lung image classification
Taking into account research questions, the hypothesis can be formulated in the following way:
Research hypothesis IF texture characteristics matrices(GLCM, GLRLM, GLSZM, GLDM,
NGTDM, GLEM) will be used as classifier input along with the original image, and the classifier
will be a hybrid structure consisting of neural network for feature extraction and self-organised
forest algorithm with logistic voting function for classification, THEN classification F1-score
will be statistically significantly higher than for neural network with the original image at
the input in the tasks of the lung images in X-Ray and computer-tomography (CT) modalities
classification.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Research methods</title>
      <p>The current section contains details of enhanced classifier implementation. The first step is the
feature construction. In the present work, it is proposed to use texture characteristics in their
raw matrix forms instead of using aggregate second order-statistics. The resulting feature space
will contain approximately n x 256 x 256 features, where n - is the number of the texture matrices
used. This can be an issue as classifiers cannot process such feature spaces. To address this
issue, it is proposed to use a set of parallel neural networks to compress texture characteristics
matrices into compressed feature vectors (CFVs) of significantly lower dimensionality. Next, two
other fully-connected networks aggregate parallel network outputs and perform classification.
All three components united into a single network on a training stage (figure 1). It allows for
forming the classification-optimal features at the output of the aggregation network. Also, such
an approach enables the blending of diferent texture characteristics, initial image intensities
etc., as for each input signal, the unique architecture of the encoder network can be used.</p>
      <p>The next step is to replace the classification neural network with another classification
structure. It is proposed to use an enhanced version of the random forest-like algorithm
called a logistic self-organised forest [19]. This algorithm uses a logistic function for tree
voting. Also, the outputs of the trees are blended with input features, leading to
classification quality improvement. GMDH tools are used for optimal logistic function structure synthesis.</p>
      <p>To provide explanations for the developed classifier, a need for a new explanation
algorithm emerged. The existing model-agnostic methods’ performance is insuficient, while
fast model-specific methods are not implemented for hybrid structures. It is proposed to
build a new algorithm based on Integrated gradients [20] and SHAP. IG method is used
to explain textural matrix elements’ contribution to CFV. The SHAP method is used to
evaluate CFVs feature contributions for the second part of the hybrid classifier. As CFV
does not contain many features, the performance of the SHAP will be suficient. Finally,
IG contributions are multiplied by the SHAP result to scale the importance of the input
features by their actual contribution to the final answer. It is proposed to validate the
correctness of the new method by generating explanations with it and SHAP values and then
comparing generated explanations with the Mann-Whitney U test. The test should indicate
no statistically significant diferences between the pair of explanations. The dataset with a
few features should be used for validation to address the problem with SHAP computation speed.</p>
      <p>To test the hypothesis, it is proposed to cross-validate the baseline and the proposed
classifiers on 20 sub-sets of 3 datasets. Two groups consisting of 60 samples will be drawn.
Each sample in the group will represent the test set F1-score of the classifier, trained with a
diferent dataset split. These two groups will be compared by running the Mann-Whitney
U test. The hypothesis will be accepted if the test results indicate a statistically significant
diference between groups, and the group corresponding to the proposed classifier will have a
higher mean value.</p>
      <p>
        According to the research questions and hypothesis, the next research objectives were
generated:
1. To collect data
a) To obtain COVID-19 lung X-Ray dataset
b) To obtain COVID-19 lung computer tomography dataset
c) To obtain lung cancer X-Ray dataset
2. To prepare and pre-process the data
a) To apply the window-level operation to threshold Hounsfield units values between
-1024 and 300
b) To align anatomic directions for all CT series
c) To align all CT series by size and rotation
d) To resize all X-Rays to the size of 256 by 256 pixels
3. Implement image feature extraction with textural matrices
a) GLCM
b) GLRLM
c) GLSZM
d) GLDM
e) NGTDM
f) GLEM
4. To implement classifier algorithm
a) To implement neural network architecture for input features compression
b) To implement classification forest algorithm based on self-organisation principles
c) To implement logistic function tree voting algorithm
d) To implement hybrid neural network-classification forest structure
e) To implement feature selection algorithm
5. To implement an explainability framework for the classifier
a) To implement hybrid models explanation method based on the Integrated Gradients
and SHAP
b) To apply the existing model-agnostic SHAP explanation method to the hybrid
classifier
c) Compare implemented explanation method with SHAP results.
6. To train and evaluate the classifier on the collected datasets
7. To discuss the results by comparing them with SOTA methods results [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Current results</title>
      <p>At the current stage, the first four objectives are archived. Paper [ 19] discusses all of the leading
research aspects. Firstly, it is shown that using raw texture characteristic matrices can lead to
better results than using known second-order statistics. Secondly, it is discovered that using
a hybrid classification structure of neural networks and forest algorithms can lead to better
classification than using a neural network alone. Finally, it has been shown that improvement
in forest training and prediction algorithm according to principles of self-organisation also
improves classification properties. Making such improvements increased classification accuracy
from 92% to 96% compared to the Random-Forest classifier with aggregative second-order stats
in the COVID-19 lung lesions classification task. Detailed results of the proposed classification
scheme comparison with the others can be found in table 1</p>
    </sec>
    <sec id="sec-6">
      <title>6. Next steps and final contribution</title>
      <p>Logistic self-organised forest from [19] and the proposed hybrid classifier must finally be
evaluated on several datasets to take or reject the hypothesis. Such evaluation is a part of the
next steps. Another question to address is the explainability of the hybrid structure classification
results. There are explainable artificial intelligence methods for separate neural networks and
forests, but the explainability of the hybrid structures results is an actual research topic. The final
contribution is expected to be the novel lung image classification pipeline presentation, which
proved more efective than existing solutions while keeping the classifier’s results explainable.
[16] M. S. Hammad, V. F. Ghoneim, M. S. Mabrouk, W. I. Al-atabany, A hybrid deep
learning approach for COVID-19 detection based on genomic image processing
techniques, Scientific Reports 13 (2023). URL: https://doi.org/10.1038/s41598-023-30941-0.
doi:10.1038/s41598-023-30941-0.
[17] S. Lundberg, S.-I. Lee, A unified approach to interpreting model predictions, 2017.
[18] M. T. Ribeiro, S. Singh, C. Guestrin, " why should i trust you?" explaining the predictions
of any classifier, in: Proceedings of the 22nd ACM SIGKDD international conference on
knowledge discovery and data mining, 2016, pp. 1135–1144.
[19] O. Davydko, Y. Hladkyi, M. Linnik, O. Nosovets, V. Pavlov, I. Nastenko, Hybrid classifiers
based on cnn, lsof, gmdh in covid-19 pneumonic lesions types classification task, in: 2021
IEEE 16th International Conference on Computer Sciences and Information Technologies
(CSIT), volume 1, 2021, pp. 380–384. doi:10.1109/CSIT52700.2021.9648752.
[20] M. Sundararajan, A. Taly, Q. Yan, Axiomatic attribution for deep networks, 2017.
arXiv:1703.01365.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>A. S.</given-names>
            <surname>Gaudêncio</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. G.</given-names>
            <surname>Vaz</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Hilal</surname>
          </string-name>
          , G. Mahé,
          <string-name>
            <given-names>M.</given-names>
            <surname>Lederlin</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Humeau-Heurtier</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. M.</given-names>
            <surname>Cardoso</surname>
          </string-name>
          ,
          <article-title>Evaluation of covid-19 chest computed tomography: A texture analysis based on three-dimensional entropy</article-title>
          ,
          <source>Biomedical Signal Processing and Control</source>
          <volume>68</volume>
          (
          <year>2021</year>
          )
          <article-title>102582</article-title>
          . doi:
          <volume>10</volume>
          .1016/j.bspc.
          <year>2021</year>
          .
          <volume>102582</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>P. K.</given-names>
            <surname>Mall</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P. K.</given-names>
            <surname>Singh</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Yadav</surname>
          </string-name>
          ,
          <article-title>Glcm based feature extraction and medical x-ray image classification using machine learning techniques</article-title>
          ,
          <source>in: 2019 IEEE Conference on Information and Communication Technology</source>
          ,
          <year>2019</year>
          , pp.
          <fpage>1</fpage>
          -
          <lpage>6</lpage>
          . doi:
          <volume>10</volume>
          .1109/CICT48419.
          <year>2019</year>
          .
          <volume>9066263</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>R.</given-names>
            <surname>Usha</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Perumal</surname>
          </string-name>
          ,
          <article-title>Svm classification of brain images from mri scans using morphological transformation and glcm texture features</article-title>
          ,
          <source>International Journal of Computational Systems Engineering</source>
          <volume>5</volume>
          (
          <year>2019</year>
          )
          <fpage>18</fpage>
          -
          <lpage>23</lpage>
          . doi:
          <volume>10</volume>
          .1504/IJCSYSE.
          <year>2019</year>
          .
          <volume>098415</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <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>
          ,
          <string-name>
            <surname>I. Dinstein</surname>
          </string-name>
          ,
          <article-title>Textural features for image classification</article-title>
          ,
          <source>IEEE Transactions on Systems, Man, and Cybernetics</source>
          SMC-
          <volume>3</volume>
          (
          <year>1973</year>
          )
          <fpage>610</fpage>
          -
          <lpage>621</lpage>
          . doi:
          <volume>10</volume>
          .1109/ TSMC.
          <year>1973</year>
          .
          <volume>4309314</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>H. R.</given-names>
            <surname>Madala</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A. G.</given-names>
            <surname>Ivakhnenko</surname>
          </string-name>
          ,
          <article-title>Inductive Learning Algorithms for Complex Systems Modeling</article-title>
          , CRC Press,
          <year>2019</year>
          . URL: https://doi.org/10.1201/9781351073493. doi:
          <volume>10</volume>
          .1201/ 9781351073493.
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>J.</given-names>
            <surname>Brabec</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Machlica</surname>
          </string-name>
          ,
          <article-title>Decision-forest voting scheme for classification of rare classes in network intrusion detection</article-title>
          ,
          <source>in: 2018 IEEE International Conference on Systems, Man, and Cybernetics (SMC)</source>
          ,
          <year>2018</year>
          , pp.
          <fpage>3325</fpage>
          -
          <lpage>3330</lpage>
          . doi:
          <volume>10</volume>
          .1109/SMC.
          <year>2018</year>
          .
          <volume>00563</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>S.</given-names>
            <surname>Guo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Chen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <article-title>Face recognition based on convolutional neural network and support vector machine</article-title>
          ,
          <source>in: 2016 IEEE International Conference on Information and Automation (ICIA)</source>
          ,
          <year>2016</year>
          , pp.
          <fpage>1787</fpage>
          -
          <lpage>1792</lpage>
          . doi:
          <volume>10</volume>
          .1109/ICInfA.
          <year>2016</year>
          .
          <volume>7832107</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>K.</given-names>
            <surname>Ren</surname>
          </string-name>
          ,
          <string-name>
            <given-names>G.</given-names>
            <surname>Hong</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Chen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <surname>A</surname>
          </string-name>
          COVID-
          <article-title>19 medical image classification algorithm based on transformer</article-title>
          ,
          <source>Scientific Reports</source>
          <volume>13</volume>
          (
          <year>2023</year>
          ). URL: https://doi.org/10.1038/ s41598-023-32462-2. doi:
          <volume>10</volume>
          .1038/s41598-023-32462-2.
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>A.</given-names>
            <surname>Dosovitskiy</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Beyer</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Kolesnikov</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Weissenborn</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Zhai</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Unterthiner</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Dehghani</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Minderer</surname>
          </string-name>
          , G. Heigold,
          <string-name>
            <given-names>S.</given-names>
            <surname>Gelly</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Uszkoreit</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Houlsby</surname>
          </string-name>
          ,
          <article-title>An image is worth 16x16 words: Transformers for image recognition at scale</article-title>
          , in: International Conference on Learning Representations,
          <year>2021</year>
          . URL: https://openreview.net/forum?id=YicbFdNTTy.
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <given-names>L.</given-names>
            <surname>Liu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Fieguth</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Guo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Pietikäinen</surname>
          </string-name>
          ,
          <article-title>Local binary features for texture classification: Taxonomy and experimental study</article-title>
          ,
          <source>Pattern Recognition</source>
          <volume>62</volume>
          (
          <year>2017</year>
          )
          <fpage>135</fpage>
          -
          <lpage>160</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>S.</given-names>
            <surname>Hegenbart</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Uhl</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Vécsei</surname>
          </string-name>
          , G. Wimmer,
          <article-title>Scale invariant texture descriptors for classifying celiac disease</article-title>
          ,
          <source>Medical Image Analysis</source>
          <volume>17</volume>
          (
          <year>2013</year>
          )
          <fpage>458</fpage>
          -
          <lpage>474</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <given-names>H.</given-names>
            <surname>Bay</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T.</given-names>
            <surname>Tuytelaars</surname>
          </string-name>
          ,
          <string-name>
            <surname>L. Van Gool</surname>
          </string-name>
          ,
          <source>Surf: Speeded up robust features, Lecture notes in computer science 3951</source>
          (
          <year>2006</year>
          )
          <fpage>404</fpage>
          -
          <lpage>417</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [13]
          <string-name>
            <surname>M. M. Galloway</surname>
          </string-name>
          ,
          <article-title>Texture analysis using gray level run lengths</article-title>
          ,
          <source>Computer Graphics and Image Processing</source>
          <volume>4</volume>
          (
          <year>1975</year>
          )
          <fpage>172</fpage>
          -
          <lpage>179</lpage>
          . doi:
          <volume>10</volume>
          .1016/
          <fpage>S0146</fpage>
          -664X(
          <issue>75</issue>
          )
          <fpage>80008</fpage>
          -
          <lpage>6</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [14]
          <string-name>
            <given-names>G.</given-names>
            <surname>Thibault</surname>
          </string-name>
          ,
          <string-name>
            <given-names>B.</given-names>
            <surname>FERTIL</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>Navarro</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Pereira</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Lévy</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Sequeira</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.-L.</given-names>
            <surname>Mari</surname>
          </string-name>
          ,
          <article-title>Texture indexes and gray level size zone matrix application to cell nuclei classification</article-title>
          ,
          <year>2009</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          [15]
          <string-name>
            <given-names>G.</given-names>
            <surname>Xu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Liu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Jiang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Söfker</surname>
          </string-name>
          ,
          <string-name>
            <given-names>W.</given-names>
            <surname>Shen</surname>
          </string-name>
          ,
          <article-title>Bearing fault diagnosis method based on deep convolutional neural network and random forest ensemble learning</article-title>
          ,
          <source>Sensors</source>
          <volume>19</volume>
          (
          <year>2019</year>
          ). URL: https://www.mdpi.com/1424-8220/19/5/1088. doi:
          <volume>10</volume>
          .3390/s19051088.
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>