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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Detection of Multidrug-Resistant Tuberculosis Using Convolutional Neural Networks and Decision Trees</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Martha Tatusch</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stefan Conrad</string-name>
          <email>conradg@cs.uni-duesseldorf.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Heinrich Heine University</institution>
          ,
          <addr-line>40225 Dusseldorf</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>In 2018, tuberculosis was one of the top 10 causes of death worldwide. Especially patients that develop a multidrug-resistance are endangered and need special medical treatment. Within the ImageCLEF 2018 challenge the automatic distinction between drug-sensitive and multidrug-resistant tuberculosis was investigated by only using the CT scan, age and gender of a patient. In this paper, we present di erent approaches using convolutional neural networks, decision trees and the combination of both classi ers. We show that our models achieve competitive results regarding the other participants of the challenge and show an improvement with respect to our last year's results. All of them are represented in the ranks between 4th and 26th of 39. Our best method regarding the AUC measure reached a score of 0:5810. In regard of accuracy the best approach got a result of 0:572.</p>
      </abstract>
      <kwd-group>
        <kwd>Convolutional Neural Networks</kwd>
        <kwd>Image Processing</kwd>
        <kwd>Clas- si cation</kwd>
        <kwd>Tuberculosis</kwd>
        <kwd>Multidrug-resistance</kwd>
        <kwd>ImageCLEF 2018</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Tuberculosis is a disease that is caused by an infection with the mycobacterium
tuberculosis. Although the bacterium was found about 135 years ago, it still is
one of the top ten causes of death worldwide according to the World Health
Organization (WHO)1. Due to medical progress the disease can be cured. Some
patients, however, can develop a resistance to several drugs. This circumstance
complicates the medical treatment and must therefore be recognised as soon
as possible. Since the distinction between drug-sensitive (DS) and
multidrugresistant (MDR) tuberculosis is di cult and necessitates several expensive tests,
it would be helpful to nd an automated solution that only requires the CT
scans that are usually done anyway.</p>
      <p>
        This year, the ImageCLEF 2018 tuberculosis Task 1 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] took up this challenge
once again. As last year's results as a whole were not satisfying for us yet, we
wanted to participate in the competition one more time. The goal was to
elaborate an automatic model that can predict a score for the probability whether a
1 http://www.who.int/en/news-room/fact-sheets/detail/tuberculosis date: 28.06.18
patient su ers from MDR.
      </p>
      <p>In contrast to the last year's challenge, additionally to the images the age and
gender of the patients were given. Also the number of images was increased.
Nevertheless, the amount of training data is still relatively small and therefore
another challenging factor.</p>
      <p>In this paper we introduce our approaches for the task which include the usage
of convolutional neural networks, decision trees and the combination of both
classi ers.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <p>
        In the ImageCLEF 2017 tuberculosis challenge the same task was set for the
rst time[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Only the provided dataset varied slightly. There were around 10%
fewer training images and neither the age nor the gender of the patients was
given. In 2017, the best approach regarding the AUC score was a graph-based
model that is described in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The authors divided the lung into 36 regions that
were represented by nodes. These nodes could then be connected by edges using
di erent methods. The goal was to describe the lungs by a feature vector
extracted from the underlying graph. These features could then be used to train
a support vector machine. This model achieved ranks 1 to 3 with AUC scores
between 0:5825 and 0:5624.
      </p>
      <p>
        The second best team used a combination of convolutional and recurrent neural
networks and achieved results between 0:562 and 0:5501 on the ranks 4 { 6. The
model was published in [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. The UIIP team was ranked 7th and thus represented
the third best team. In [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] the authors introduced their own segmentation
algorithm and their method based on feature extraction by considering supervoxels.
This team used external sources to segment the lungs.
      </p>
      <p>
        Regarding the accuracy, however, our team aimed the rst rank with 0:5681
using convolutional neural networks with a at network architecture [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The
score was around 4% better than a model that only classi es into the most
represented class. This classi er would reach an accuracy of 0:528.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Methods</title>
      <p>Since the manual distinction between DS and MDR tuberculosis using only CT
Scans is not possible until now, it is very di cult to determine relevant features
of the images. For this reason, the usage of neural networks, which do not require
feature extraction, is reasonable. On the one hand a convolutional neural network
can be used, which only considers the images, on the other hand an architecture
can be developed, which examines the images as well as the additional features
age and gender. The combination of the images and the textual features cannot
only be done by a CNN with multiple inputs, but also by creating a feature
vector of the CNN's result, the age and the gender, and using it as the input
of another classi er. In this work, a decision tree has been chosen as the second
classi er. Before discussing the di erent approaches, the preprocessing of the
(1a)
(2a)
(1b)
(2b)
images, which has a great impact on the results, will be explained, since it is the
same for all models.
3.1</p>
      <sec id="sec-3-1">
        <title>Preprocessing</title>
        <p>
          The CT scans are three-dimensional grayscale images whose intensity values
are speci ed by Houns eld Units (HU) [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] { a uniform measure for CT scans.
Although the Houns eld Units are xed, they leave a little scope for the actual
values, which can vary due to di erent computer tomograph settings [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. These
circumstances can explain the high diversity of the given scans. In Figure 1 two
lungs of the given CT scans are shown in 1a) and 2a). In 1a) the Houns eld
Units are in the range of [ 1024; 2017]. In 2a) the values vary between 1582
and 1941. Due to the di erent size of the HU ranges, the intensity of the scans
varies a lot. This is also re ected in the representation of the images in Figure 1.
Because of this, a preprocessing of the images is essential. As the preprocessing
method developed in [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] led to an improvement of the results, it was used this
year, too. The procedure is explained in [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] and can be summarized in 5 steps:
1. Set the smallest Houns eld Unit value of the images to the second smallest
value 1.
2. Normalize all values to the range of [0; 1].
3. Segment the scans using the provided masks that were computed by the
method presented in [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ].
4. Denoise the image by creating an intensity histogram with 256 even
distributed bins. Set all values v with v u to u, where u is the upper border
of the bin with the highest number of occurrences.
5. Increase the contrast by normalizing the range from [u; 1] to [0; 1] again.
The rst step is necessary, as the smallest value represents the background of the
scan and causes a large gap between the smallest and the second smallest value
of it. The fourth step is done to decrease the noise of the image. As illustrated
in Figure 1, the diversity of the segmented and normalized scans is very high.
According to [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] the relevant features in an image are mainly represented in
the properties of the nodules. These regions contain relatively high Houns eld
Units. Since the noise mostly occurs in the darker parts of the scan and the
relevant regions are represented by high values, it is reasonable to reduce the
noise which occurs beneath a certain threshold. In Figure 1, the lower bound of
image 1a) has been increased from 1024 to 888 in image 1b). Thus, the value
range has been decreased from 3041 values to 2905. Regarding the image 2a),
the lower bound went from 1582 to 860 in 2b), so that the value range only
contained 2801 values instead of 3523. The di erence of the lower bounds of the
two considered images has therefore been decreased from 558 to 28. Highlighting
bright areas in the resulting scans by increasing the contrast is also helpful, since
relevant regions get greater emphasis.
3.2
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>Convolutional Neural Networks</title>
        <p>
          The rst approach of this work is a classi cation of the images using a
convolutional neural network, that takes the three dimensional scans as input. This was
done by using the Keras API [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] with Tensor ow [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ] backend. Five quite similar
architectures have been submitted. The architecture of two networks using the
Spatial Pyramid Pooling Layer (SPP) [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ] is shown in Table 1.
        </p>
        <p>
          Since the usual SPP was made for 2D images and the used CNNs were three
dimensional, a few modi cations had to be made. These were already carried
out and described last year in [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] and could therefore be reused. The CNN
named Conv48 creates 4 feature maps in the rst convolutional layer. It has the
binary cross entropy as its loss function and the stochastic gradient descent as
optimizer. Conv68, however, determines 6 lters in the rst block and uses the
Spatial Pyramid
[
          <xref ref-type="bibr" rid="ref1 ref2 ref4 ref8">1,2,4,8</xref>
          ]
n.a.
4 or 6
n.a.
        </p>
        <p>8
n.a.
n.a.</p>
        <p>(4, 4, 1)
categorical cross entropy and the adam optimizer. Both networks can handle an
un xed input size because of the SPP. Nevertheless, the nets have been trained
and tested with images of di erent as well as uniform sizes.</p>
        <p>In Table 2 the architecture of the second type of CNNs is shown. Instead of
the SPP, the atten layer is used. Besides, one additional block of a maxpooling
and convolution layer is inserted. The di erence between the structure of Flatten
and Flatten3 is in the second and third block, where Flatten performs the
convolution only over the X- and Y-axis of the images while Flatten3 considers all
axes. Both networks use binary cross entropy and stochastic gradient descent.
Another submitted architecture is called FlattenX. It is very similar to Flatten.</p>
        <sec id="sec-3-2-1">
          <title>Image</title>
        </sec>
        <sec id="sec-3-2-2">
          <title>Flatten CNN</title>
        </sec>
        <sec id="sec-3-2-3">
          <title>Dense 200</title>
        </sec>
        <sec id="sec-3-2-4">
          <title>Dense 2</title>
          <p>Age &amp;</p>
        </sec>
        <sec id="sec-3-2-5">
          <title>Gender</title>
          <p>Fig. 2: Architecture of the CNN with multiple inputs.</p>
          <p>Instead of the rst maxpooling layer, however, it has a convolutional layer with
8 lters and a lter size of (5; 5; 3). The intention of this modi cation was to
avoid a possible loss of information in the rst layer.</p>
          <p>The last submitted CNN is the MultiInputCNN, which takes an image and a two
dimensional vector as inputs. As can be seen in Figure 2, the rst part of the net
is identical to the Flatten CNN. After the atten layer, however, a dense layer
with 200 units is used. Its result is merged with the second input which contains
the age and gender of the considered patient. This data is then processed by a
dense layer with the size of 2.
3.3</p>
        </sec>
      </sec>
      <sec id="sec-3-3">
        <title>Decision Trees</title>
        <p>As already mentioned in the introduction of Section 3, all given information can
be combined by using multiple classi ers. To re ne the results of the CNN, a
decision tree was trained using the CNN's binarized output, the age and the
gender. The decision tree was chosen because the considered features and
decisions are easy to track. This is very helpful to understand the impact of CNN's
results.</p>
        <p>
          Depending on the selection of the network the classi er learned whether to
consider the CNN's result or not. In Figure 3 the structures of the two best decision
trees are illustrated. On the right, the result of using the Flatten net is
displayed. After checking age and gender the CNN's output is considered, as well.
In contrast to this, the results of the Flatten3 net have no in uence on the
decision tree's assignment at all. The structure is shown on the left of Figure 3.
It is noticeable that the tree in a) exactly corresponds to the rst part of the
one in b). The models have been retrieved by using the DecisionTreeClassi er
from Scikit-Learn [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. The parameters of both trees are the same: the minimum
resistant
y
        </p>
        <p>y
not resistant</p>
        <p>Age &lt; 30?</p>
        <p>Gender = 1?</p>
        <p>y
(a)
n
Age &lt; 55?
n
resistant
n
not resistant
resistant
y</p>
        <p>Age &lt; 30?
y</p>
        <p>y
Gender = 1?
n
Age &lt; 55?
n
resistant
n
not resistant</p>
        <p>CNN &lt; 0.5
y</p>
        <p>n
Age &lt; 43?</p>
        <p>not resistant
y
not resistant
n
resistant
(b)</p>
        <p>Fig. 3: Illustration of the two best decision trees' structures.
fraction per leaf was set to 10%, the minimum impurity decrease was 0:01. All
architectures used the Gini Impurity as a measure for the information gain.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Experimental Results</title>
      <p>
        The training set that is provided by the ImageCLEF 2018 [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] contains 259
training images. 134 of them belong to patients with DS tuberculosis, the other
125 scans represent MDR. The test set is composed of 236 images, 99 of which
have DS and 137 MDR. The ratio of the types is therefore very di erent in the
two data sets. The CT scans consist of 50 to 400 slices with 512 512 pixels.
The images have been resized by using three-dimensional bounding boxes around
the lungs. That means, the side lengths of the two-dimensional slices have been
cropped to the outermost points of the whole lung and empty slices have been
removed from the scan.
      </p>
      <p>When using a xed input size, all images have then been resized to a X- and
Y-length of 250 pixels and a total number of 100 slices. If the length of a side (x,
y or z) was too small, it was enlarged by adding equally black borders on both
sides of the axis. If the length was too big, interpolation was used to downsize
the side with the biggest variance regarding the desired dimension, so that the
proportions of the side lengths remained the same. Afterwards the sides that
became too small were enlarged as described.</p>
      <p>All networks have been trained with the complete training set and for at least
30 epochs. In the combination of CNN and decision tree, the network rst had
been trained with 180 and the tree with 40 randomly selected CT scans which
had an even type distribution. Afterwards the network was post-trained with all
given training images.</p>
      <p>
        In Table 3 the preliminary results of the challenge are displayed as published
on the website2. For a better understanding a few les of our team have been
renamed. As our results are among the top 20 regarding the AUC score, only an
excerpt of the top 25 of 39 runs was selected. The combination of the Flatten3
CNN and the decision tree achieved the best AUC as well as Accuracy score
regarding the complete set of our submitted runs. This method was ranked
6th with respect to the AUC measure and 4th in regard of the Accuracy. The
run is named "MDR Flatten3 DTree.txt". "MDR Flatten DTree.txt" represents
the predictions of the combined approach with the Flatten CNN. It is noticeable
that both runs retrieve exactly the same results. That is, because the predictions
are the same, as well. This phenomenon can be explained by the fact that the
network classi ed all scans of patients of gender 1 and the age between 43 and 55
as not resistant. The additional branch of the tree (in regard to the architecture
without CNN) has therefore never been reached using the test set.
Just behind our best runs we have the results of Conv68 which was trained
with images of a xed size. The networks Conv48, Flatten and Flatten3 reached
with similar results the AUC ranks 11, 12 and 13. Regarding the accuracy, the
Flatten architecture achieved the second best rank for our team. Unexpectedly,
2 http://www.imageclef.org/2018/tuberculosis
date: 28.06.18
the MultiInputCNN received the worst results. The achieved accuracy of 0:5593
is the same for the ranks 9 to 12. The FlattenX network reached the second
worst AUC results for our team. This con rms the thesis from [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] that smaller
network architectures are better suited for the data set than deep ones.
5
      </p>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>We have shown that our approaches achieve competitive results. Despite the
small amount of data, the use of convolutional neural networks can be reasonable
if the architecture is not too deep. All our runs reached AUC ranks between 6
and 20 and accuracy ranks between 4 and 26 of 39. The best classi er turned out
to be the decision tree, which only takes into account the age and gender of the
patient. Its AUC and Accuracy results are only about 4% worse than the best
scores of the challenge. Nevertheless, it has to be said that the accuracy results
are worse than those of a classi er that only categorizes into the class with the
most representatives. This one would reach a score of 58:05%.</p>
      <p>The quality of the classi ers can certainly be increased by improving the
preprocessing of the images with the help of medical expertise. Furthermore,
the optimization of the provided masks could lead to better results, because
these do not consider relevant regions of the lungs and contain parts of bones in
some cases. Also, it would be interesting to perform the classi cation with other
known medical data besides the age and gender of the patients.</p>
    </sec>
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