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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ba´lint Daro´czy</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Istva´n Petra´s</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andr´as A. Benczu´r</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zsolt Fekete</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>D´avid Nemeskey</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>D´avid Sikl´osi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zsuzsa Weiner</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Data Mining and Web search Research Group</institution>
          ,
          <addr-line>Informatics Laboratory</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Image segmentation, SIFT</institution>
          ,
          <addr-line>Gaussian mixtures, Okapi BM25, rank aggregation</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2009</year>
      </pub-date>
      <abstract>
        <p>Our approach to the ImageCLEF 2009 tasks is based on image segmentation, SIFT keypoints and Okapi BM25 based text retrieval. We use feature vectors to describe the visual content of an image segment, a keypoint or the entire image. The features include color histograms, a shape descriptor as well as a 2D Fourier transform of a segment and an orientation histogram of detected keypoints. We trained a Gaussian Mixture Model (GMM) to cluster the feature vectors extracted from the image segments and keypoints independently. The normalized Fisher gradient vector computed from GMM of SIFT descriptors is a well known technique to represent an image with only one vector. Novel to our method is the combination of Fisher vectors for keypoints with those of the image segments to improve classification accuracy. We introduced training and correlation based combining methods to further improve classification quality.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        the segments. We use the Hungarian Academy of Sciences search engine [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] as our information
retrieval system that is based on Okapi BM25 [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] and query expansion by thesaurus.
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>Image processing</title>
      <sec id="sec-2-1">
        <title>We transform images into a feature space both in order to define their similarity for ad hoc</title>
        <p>retrieval and to apply classifiers over them for annotation. For image processing we deploy both</p>
      </sec>
      <sec id="sec-2-2">
        <title>SIFT keypoints [8] and image segmentation [5, 14, 4, 9]. While SIFT is a standard procedure, we describe our home developed segmenter in more detail below.</title>
        <p>2.1</p>
        <sec id="sec-2-2-1">
          <title>Segmentation</title>
        </sec>
      </sec>
      <sec id="sec-2-3">
        <title>Our segmentation algorithm is based on a graph of the image pixels where the eight neighbors</title>
        <p>of a pixel are connected by edges. The weight of an edge is equal to the Euclidean distance of
the pixels in the RGB space. We proceed in the order of increasing edge weight as in a minimum
spanning tree algorithm except that we do not merge segments if their size and the similarity of
their boundary edges are above a threshold. In the algorithm we use the notation</p>
        <p>B(S1, S2) = average weight of edges connecting S1 and S2.</p>
      </sec>
      <sec id="sec-2-4">
        <title>The algorithm consists of several iterations of the above minimum spanning tree type procedure. In</title>
        <p>the first iteration we join sturdily coherent pixels into segments. In further iterations we gradually
increase the limits in order to enlarge segments and reach a required number of them.</p>
      </sec>
      <sec id="sec-2-5">
        <title>The algorithm is called with three parameters τ1, τ2 and τ3 where the first is initialized to be the difference of the minimal and maximal edge weight in the graph while the other two are chosen to have values 40 and 50, respectively.</title>
        <p>Algorithm 1 Algorithm Segmentation(Isrc, τ1, τ2, τ3).
for all pixels p do
define segment Sp = {p}
τ (Sp) ← τ1
{Joining sturdily coherent pixels}
for all neighboring pixel pairs (p, q) in the order of edge weight do
if Sp 6= Sq and min{τ (Sp), τ (Sq)} &gt; B(Sp, Sq) then</p>
        <p>Sp ← Sp ∪ Sq
τ (Sp) ← τ (Sp) ∗ ||SSpp|| ++ |τS(qS|q) ∗ |Sq| + B(Sp, Sq)
{Segment enlargement}
while we reach the prescribed number of segments do
for all neighboring pixel pairs (p, q) in the order of edge weight do
if Sp 6= Sq and min(|Sp|, |Sq|) &lt; τ2 and B(Sp, Sq) &lt; τ3 then</p>
        <p>Sp ← Sp ∪ Sq
τ2 ← τ2 ∗ 1.2 and τ3 = τ3 ∗ 1.3
2.2</p>
        <sec id="sec-2-5-1">
          <title>Feature extraction</title>
        </sec>
      </sec>
      <sec id="sec-2-6">
        <title>We performed colour, shape, orientation and texture feature extraction over the segments and</title>
        <p>environment of keypoints of images. This resulted in approximately 0.5 − 7 thousand keypoint
descriptors in 128 dimensions and in approximately 0.2 thousand segment descriptors in 350
dimensions. The following features were extracted for each segment: mean RGB histogram; mean</p>
      </sec>
      <sec id="sec-2-7">
        <title>HSV histogram; normalized RGB histogram; normalized HSV histogram; normalized contrast</title>
        <p>histogram; shape moments (up to 3rd order); DFT phase and amplitude.
2.3</p>
        <sec id="sec-2-7-1">
          <title>Image Similarity</title>
          <p>For ad hoc image retrieval we considered segmentation based image similarity only. We extracted
features for color histogram, shape and texture information for every segment. In addition we used
contrast and 2D Fourier coefficients. The discrete Fourier transformation was sampled along a
zig-zag order, i.e. the low frequency components were included. An asymmetric distance function
is defined in the above feature space as
d(Di, Dj) = X min dist(Sik, Sjℓ)</p>
          <p>k ℓ
where {Sdt : t ≥ 1} denotes the set of segments of image Dd. Finally image similarity rank was
obtained by substracting the above distance from a sufficiently large constant.
3</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>The base text search engine</title>
      <sec id="sec-3-1">
        <title>We use the Hungarian Academy of Sciences search engine [2] as our information retrieval system</title>
        <p>
          based on Okapi BM25 ranking [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] with the proximity of query terms taken into account [
          <xref ref-type="bibr" rid="ref15 ref3">15, 3</xref>
          ].
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>We deployed stopword removal and stemming by the Porter stemmer. We extended of stop word list with terms such as “photo” or “image” that are frequently used in annotations but does not have a distinctive meaning in this task.</title>
      </sec>
      <sec id="sec-3-3">
        <title>We applied query term weighting to distinguish definite and rough query terms, the latter may</title>
        <p>be obtained from the topic description or a thesaurus. We multiplied the BM25 score of each
query term by its weight; the sum of the scores gave the final rank.</p>
      </sec>
      <sec id="sec-3-4">
        <title>We used a linear combination of the text based and image similarity based scores for ad hoc retrieval. We considered the text based score more accurate used small weight for the content based score.</title>
        <p>4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>The WikipediaMM Task</title>
      <sec id="sec-4-1">
        <title>We preprocessed the annotation text by regular expressions to remove author and copyright in</title>
        <p>formation. We made no differentiation between the title and the body of the annotation.</p>
      </sec>
      <sec id="sec-4-2">
        <title>Since file names often contain relevant keywords and also often as substring, we gave score proportional to the length of the matching substring. Since the indexing of all substrings is infeasible, we only performed this step for those documents that already matched at least one query term in their body.</title>
        <p>For the WikipediaMM task we also deployed query expansion by an online thesaurus1. We
added groups of synonyms with reduces weight so that only the score of the first few best
performing synonym was added to the final score to avoid overscoring long lists of synonyms.</p>
      </sec>
      <sec id="sec-4-3">
        <title>As seen in Table 1, our CBIR score improved performance in terms of MAP for the price of</title>
        <p>worse early precision. In this experiment expansion by thesaurus did not help.</p>
      </sec>
      <sec id="sec-4-4">
        <title>Text CT</title>
      </sec>
      <sec id="sec-4-5">
        <title>Text</title>
      </sec>
      <sec id="sec-4-6">
        <title>Image+Text CT</title>
      </sec>
      <sec id="sec-4-7">
        <title>Image</title>
      </sec>
      <sec id="sec-4-8">
        <title>We preprocessed the annotation text by regular expressions to remove photographer and agency</title>
        <p>information. This step was in particular important to get rid of the false positives for
Belgiumrelated queries as the majority of the images has the Belga News Agency as annotated source.</p>
      </sec>
      <sec id="sec-4-9">
        <title>Since the annotation was very noisy, we could only approximately cleanse the corpus.</title>
      </sec>
      <sec id="sec-4-10">
        <title>As the main difference from the WikimediaMM task, since almost all queries were related to</title>
        <p>names of people or places, we did not deploy the thesaurus. Some of the topics had description
(denoted by CT in the topic set as well as in Table 2) that we added with weight 0.1.</p>
      </sec>
      <sec id="sec-4-11">
        <title>We modified our method to achieve greater diversity within the top 20. For each topic in the</title>
      </sec>
      <sec id="sec-4-12">
        <title>ImageCLEF Photo set, relevant images were manually clustered into sub-topics. Evaluation was based on two measures: precision at 20 and cluster recall at rank 20, the percentage of different clusters represented in the top 20.</title>
      </sec>
      <sec id="sec-4-13">
        <title>The topics of this task were of two different types and we processed them separately in order</title>
        <p>to optimize for cluster recall. The first set of topics included subtopics; we merged the hit lists
of the subtopics by one by one. The last subtopic typically contained terms from other subtopics
negated; we fed the query with negation into the retrieval engine.</p>
      </sec>
      <sec id="sec-4-14">
        <title>The other class of topics had no subtopics; here we proceeded as follows. Let Orig(i) be the ith</title>
        <p>document (0 ≤ i &lt; 999) and OrigSc(i) be the score of this element on the original list for a given
query Qj . We modified these scores by giving penalties to the scores of the documents based on
their Kullback-Leibler distance. We used the following algorithm.</p>
      </sec>
      <sec id="sec-4-15">
        <title>Algorithm 2 Algorithm Re-ranking</title>
        <p>1. New (0) = Orig(0) and NewSc(0) = OrigSc(0)
2. For i = 1 to 20
(a) New(i) = argmaxk{CLi(k) |i &lt;= k &lt; 999}
(b) NewSc(i) = max{CLi(k) |i &lt;= k &lt; 999}
(c) For ℓ = 0 to (i − 1)</p>
        <p>NewSc(ℓ) = NewSc(ℓ) + c(i)</p>
        <p>i−1</p>
        <p>Here CLi(k) = OrigSc(k) + α Pl=0 KL(i, k), where α is a tunable parameter and KL(i, k) is
the Kullback-Leibler distance of the ith and kth documents. We used a correction term c(i) at</p>
      </sec>
      <sec id="sec-4-16">
        <title>Step (2c) to ensure that the new scores will be also in descending order.</title>
        <p>6</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>The Photo Annotation Task</title>
      <sec id="sec-5-1">
        <title>The Photo Annotation data consisted of 5000 annotated training and 13000 test images. Our</title>
        <p>
          overall procedure is shown in Fig. 1. We used the bag-of-visual words (BOV) generative approach
in combination with the Fisher kernels method for images [
          <xref ref-type="bibr" rid="ref1 ref13">13, 1</xref>
          ]. As a first step we extracted low
level features from each image. These features include the SIFT key points and the color image
segment descriptors such as shape, color histogram as described in Section 2.2.
        </p>
        <p>We produced a global visual vocabulary that approximate the per-image distribution of the
low level features by clustering with a 64 dimensional GMM. First we obtained a variable number
of visual words per image that we processed by Fisher kernels. The resulting kernel from different
feature combinations were used as training input for a binary linear classifier (L2 logistic
regression). We used a held-out set to rank each row from the Fisher kernel. After computing the results
for all of the 53 concepts, a matrix of dimensionality N × 53 holds the concept detection results,
where N is the number of images.</p>
      </sec>
      <sec id="sec-5-2">
        <title>The concept detection results from different kernels can be combined. We followed two approaches. The first one described in Section 6.2 exploits the connection between the concepts of the training annotation while the second one (Section 6.3) applies another round of training to learn the best combination of the individual concept detectors.</title>
        <p>6.1</p>
        <sec id="sec-5-2-1">
          <title>Feature generation and modeling</title>
        </sec>
      </sec>
      <sec id="sec-5-3">
        <title>To reduce the size of the feature vectors we modeled them with 64 Gaussians. The classical</title>
      </sec>
      <sec id="sec-5-4">
        <title>EM algorithm with diagonal covariance matrix assumption was used for the computation of the mixture parameters. To get fixed sized image descriptors we computed g −1+g ×D×2 dimensional normalized Fisher vectors per images [13, 1], where D = 128 is the dimension of the low level feature vectors. The t × t Fisher kernel matrix contained the L1 distances of all training images</title>
        <p>42</p>
        <p>Sea
46</p>
        <p>Water
Beach_Holidays
40 Plants</p>
        <p>Trees
−32 Outdoor</p>
        <p>31
Sunset_Sunrise
36</p>
        <p>No_Visual_Time
33
67
Clouds
32</p>
        <p>−37 45 Day
35 Sky</p>
        <p>No_Visual_Place
63
−31</p>
        <p>−86
33
−41</p>
        <p>−70
Winter</p>
        <p>69
Snow
from themselves. There are t = 5000 training images. We computed the Fisher kernels for
several low level feature type combinations. Such combinations were: SIFT+image segments,</p>
      </sec>
      <sec id="sec-5-5">
        <title>SIFT+global image features, etc. We used the resulting Fisher kernels for training binary linear classifiers (L2-regularized logistic regression classifier from the LibLinear package [7]) for each of the k = 53 concepts. For prediction we used the s × t kernel matrix with the trained linear classifiers, where s = 13000 denotes the number of test images.</title>
        <p>6.2</p>
        <sec id="sec-5-5-1">
          <title>Correlation based combination</title>
        </sec>
      </sec>
      <sec id="sec-5-6">
        <title>From the annotations of the training images we computed the auto-correlation matrix (Fig. 2).</title>
        <p>Using this matrix we exploited the common knowledge of annotations about the relationship
between the concepts. With this matrix we reweighted the output of the predictors. Let us
denote A the t × k annotation matrix. Each entry of A is either 0 or 1. Moreover, let C = [cij ]
be the k × k symmetric correlation matrix where cij = corr (ai, aj ), ai is the ith column of A,
corr (x, y) = cov (x, y) / (std (x) · std (y)) is the normalized correlation coefficient. Let P denote
the t × k matrix composed from the outputs of the predictors. Rows correspond to images, while
columns correspond to concepts. The combined prediction is computed</p>
        <p>PC = P C</p>
      </sec>
      <sec id="sec-5-7">
        <title>The improvement is shown in Table 3.</title>
        <p>6.3</p>
        <sec id="sec-5-7-1">
          <title>Log-odds based combination</title>
        </sec>
      </sec>
      <sec id="sec-5-8">
        <title>Our combination of the classifiers is inspired by the log-odds averaging by Lynam and Cormack</title>
        <p>
          [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]. We first made a 10-fold crossvalidation on the training data to score every image by every
classifier. Then for every classifier we calculated the log-odds as a feature by taking the logarithm
of the fraction of the number of positive images with lower score over the number of negative
images with higher score. Finally, we trained a logit-boost classifier over this feature set. The
predictors were trained with the following feature sets: segmentation and SIFT (two fine tuned
runs); global features only; SIFT only; segmentation only; global and SIFT features; global features
and segmentation.
7
        </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>• For image classification, we successfully combined a pure keypoint based and a region based
method, two image processing algorithms that complement each other. Further
improvement could be to include the hierarchical relationship of the concepts into the combination
procedure that would result in a directed graph to describe ConceptA → ConceptB
relation</p>
      <sec id="sec-6-1">
        <title>Segmentation</title>
      </sec>
      <sec id="sec-6-2">
        <title>SIFT</title>
      </sec>
      <sec id="sec-6-3">
        <title>SIFT + Segmentation</title>
      </sec>
      <sec id="sec-6-4">
        <title>SIFT + Segmentation + Cross</title>
      </sec>
      <sec id="sec-6-5">
        <title>Log Odds combination</title>
        <p>• For image retrieval our content based score improved the text score in combination. The use
of the thesaurus and other query expansion techniques needs further analysis and refinement.
• We took minimal effort for optimizing for diversity; while our results were strong in MAP,
optimization with stronger parameters could have helped.</p>
      </sec>
    </sec>
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