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  <front>
    <journal-meta />
    <article-meta>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yang Liu</string-name>
          <email>csygliu@comp.hkbu.edu.hk</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zhonglei Gu</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>William K. Cheung</string-name>
          <email>william@comp.hkbu.edu.hk</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, Hong Kong Baptist University</institution>
          ,
          <addr-line>Hong Kong SAR</addr-line>
          ,
          <country country="CN">China</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Research and Continuing Education, Hong Kong Baptist University</institution>
          ,
          <addr-line>Shenzhen</addr-line>
          ,
          <country country="CN">China</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2017</year>
      </pub-date>
      <fpage>13</fpage>
      <lpage>15</lpage>
      <abstract>
        <p>In this paper, we describe our model designed for automatic detection of diseases based on multimedia data collected in hospitals. Specifically, a two-stage learning strategy is designed to predict the diseases. In the first stage, a dimensionality reduction method called bidirectional marginal Fisher analysis (BMFA) is proposed to project the original data to the low-dimensional space, with the key discriminant information being well preserved. In the second stage, the multi-class support vector machine (SVM) is utilized on the low-dimensional space for detection. Experimental results demonstrate the eficiency of designed model.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>INTRODUCTION</title>
      <p>
        We have evidenced an increasing trend of applying
multimedia processing and analysis methods, such as computer
vision and medical image processing, to assisting diagnosis,
detection and interpretation of medical abnormalities [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
While there exist a number of successful applications related
to healthcare decision support, predictive analytics are still
considered challenging for some specific medical multimedia
data like endoscopy and ultrasound images, due to the high
complexity of these medical tasks [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Moreover, most of the
existing methods make use of a limited amount of information,
where possibly useful information sources such as sensory and
temporal information were mostly not considered [
        <xref ref-type="bibr" rid="ref10 ref11 ref5">5, 10, 11</xref>
        ].
      </p>
      <p>
        The 2017 MediaEval Medico Task aims to improve
detection and location of abnormalities through designing an
integrated approach combining information from both video
and image information, as well as other sensory information
and assistance of medical experts. The dataset used in this
task consists of 8,000 GI tract images that are annotated
and verified by medical doctors for the ground truth. More
details about the task requirements and the dataset can be
found in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>In order to perform eficient detection of diseases, we design
a two-stage learning strategy. In the first stage, a manifold
learning method called bidirectional marginal Fisher analysis
(BMFA) is proposed to learn the compact representation
of the original data, with the key discriminant information
being well preserved. In the second stage, the multi-class
support vector machine (SVM) is applied to the compact
representation of each data point for detection.
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>METHOD</title>
    </sec>
    <sec id="sec-3">
      <title>Bidirectional Marginal Fisher Analysis</title>
      <p>Given the data matrix X = [x1, x2, ..., x], where  denotes
the number of data points in the training set, x ∈ R
the high-dimensional feature vector of the -th data point,
 ∈ {1, 2, ..., 8} the set of possible labels, and l = [1, 2, ..., ]
the set of true labels corresponding to each data point x.
The proposed bidirectional marginal fisher analysis (BMFA)
aims to learn the subspace of original features, in which the
marginal discriminant information is well preserved.</p>
      <p>
        A manifold learning algorithm typically involves the
definition of a neighborhood graph. The efectiveness of the
algorithm very often depends on how well the defined
neighborhood graph can preserve the local topological properties of
the data manifold. To achieve a robust neighborhood graph,
we use the following two-way connection criterion to
construct the graph [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]: we connect x and x only if x is one
of the -nearest neighbors of x, and, x is also one of the
-nearest neighbors of x. The above criterion adopts the
“and ” hypothesis, which means it agrees to connect two data
points if and only if both of them are neighbors of each other.
      </p>
      <p>The within-class adjacency matrix and between-class
adjacency matrix are then defined as follows:
A =
A =
{︃
{︃
exp(− ||x− 2x||2 ), if  ∈  and  ∈  and  = ,
0, otherwise
exp(− ||x− 2x||2 ), if  ∈  and  ∈  and  ̸= ,
0, otherwise
(2)
where  denotes the index set of the  nearest neighbors
of x, and  is empirically set by  = ∑︀=1 ||x − x ||2 /
where x is the th nearest neighbor of x.</p>
      <p>BMFA aims to learn a transformation matrix W ∈ R× 
where the following objective function is maximized:
∑︀,=1 A||W x −
W = arg max ∑︀,=1 A||W x −</p>
      <p>W</p>
      <p>W x||22 .</p>
      <p>W x||</p>
      <p>The above optimization problem can be relaxed to the
following ratio trace problem:</p>
      <p>W = arg max (</p>
      <p>
        W
where S = XLX and S = XLX , in which L = D −
A and L = D − A are the Laplacian matrices [
        <xref ref-type="bibr" rid="ref1 ref3">1, 3</xref>
        ], and
D and D are diagonal matrices defined as D = ∑︀
=1 A
(1)
(3)
(4)
and D = ∑︀
      </p>
      <p>=1 A ( = 1, ..., ). The optimization problem
in Eq. (4) could be solved by generalized eigen-decomposition.</p>
      <p>For each high-dimensional data point x, we can obtain
its low-dimensional representation by y = W x.
2.2</p>
    </sec>
    <sec id="sec-4">
      <title>Support Vector Classification</title>
      <p>
        To predict diseases, we apply the multi-class support vector
machine (SVM) to the low-dimensional representation of
each data point. Specifically, we employ the one-against-all
strategy for the multi-class classification and use the  -SVM
[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] on each class.
3
      </p>
    </sec>
    <sec id="sec-5">
      <title>RESULTS</title>
      <p>
        In this section, we report the experimental settings and the
evaluation results. The Kvasir Dataset is used to evaluate
the performance of the proposed model [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The size of the
training set is 4, 000 (500 for each of the eight classes) and
the dimension of the original feature space is 1, 185. We
employ the same setting on both the detection subtask and
the eficient detection subtask (i.e., the 5 runs of the
detection subtask and those of the eficient detection subtask are
identical). Specifically:
∙ For Run 1 of both subtasks, we randomly select
1, 000 data samples (125 for each class) for training,
and project the original data to the 8-dimensional
subspace via BMFA;
∙ For Run 2 of both subtasks, we randomly select 1, 000
data samples for training, and project the original
data to the 9-dimensional subspace via BMFA;
∙ For Run 3 of both subtasks, we randomly select
800 data samples (100 for each class) for training,
and project the original data to the 9-dimensional
subspace via BMFA;
∙ For Run 4 of both subtasks, we randomly select 1, 000
data samples for training, and project the original
data to the 7-dimensional subspace via BMFA;
∙ For Run 5 of both subtasks, we randomly select 800
data samples for training, and project the original
data to the 7-dimensional subspace via BMFA.
      </p>
      <p>
        In the following step, we use the LIBSVM toolbox for
classification [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The  -SVC with linear kernel is selected, and
the parameters are set as  = 0.2 and  = 1.
      </p>
      <p>Table 1 shows the oficial evaluation results (provided by
the task organizers) of the proposed model on the Kvasir
dataset. From the table, we can see that the proposed model
performs well, given the task is a multi-class classification
with only a portion of the available data being utilized for
training. This indicates that the learned subspace is able to
capture the discriminant information of the dataset.
Moreover, by reducing the original data to a very low-dimensional
subspace, the learning process becomes more eficient.</p>
      <p>In addition to the overall performance, we analyze the
contribution of each dimension in the original feature
space. The contribution of the -th dimension is defined as
 = ∑︀  ||, where   denotes the -th
eigenvalue,  denotes the (, )-th element of W, and | · |
denotes the absolute value operator. From Figure 1 we can
see that the edge histogram and auto color correlogram
features contribute more than the others, which indicates their
importance in medical image classification.
4</p>
    </sec>
    <sec id="sec-6">
      <title>CONCLUSION</title>
      <p>This paper described the model designed for disease detection
based on multimedia data. A novel dimensionality reduction
algorithm dubbed bidirectional marginal Fisher analysis
(BMFA) was presented to extract the discriminant information
from the original feature space. After that, SVM was applied
to the low-dimensional subspace for multi-class classification.
Experimental results on the Kvasir dataset validated the
efectiveness and eficiency of the proposed model.</p>
    </sec>
    <sec id="sec-7">
      <title>ACKNOWLEDGMENTS</title>
      <p>This work was supported in part by the National Natural
Science Foundation of China under Grant 61503317, and in
part by the Faculty Research Grant of Hong Kong Baptist
University (HKBU) under Project FRG2/16-17/032.</p>
    </sec>
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