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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>CWI at ImageCLEF 2008</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Theodora Tsikrika</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Henning Rode</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Arjen P. de Vries CWI</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Amsterdam</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>The Netherlands</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Theodora.Tsikrika</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Henning.Rode</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Arjen.de.Vries}@cwi.nl</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>The PF/Tijah System</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>CWI used PF/Tijah, a flexible XML retrieval system, to evaluate image retrieval based on textual evidence in the context of the wikipediaMM task at ImageCLEF 2008. We employed a language modelling framework and found that the text associated with the Wikipedia images is a good source of evidence. We also investigated a length prior and found that biasing towards images with longer descriptions than the ones retrieved by our language modelling approach is not beneficial.</p>
      </abstract>
      <kwd-group>
        <kwd>Image retrieval</kwd>
        <kwd>language models</kwd>
        <kwd>textual evidence</kwd>
        <kwd>length prior</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>removal) and retrieval in response to structured queries (where the ranking can be generated
according to any of several retrieval models). Moreover, it maintains its versatility by being open to
adaptations and extensions.</p>
      <p>
        PF/Tijah is part of the open source release of MonetDB/XQuery2, which is being developed in
cooperation with CWI, Amsterdam and the University of Mu¨nchen. PF/Tijah combines database
and Information Retrieval (IR) technologies by integrating the PathFinder (PF) XQuery3 compiler
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] with the Tijah XML IR system [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This provides PF/Tijah with a number of unique features
that distinguish it from most other open source IR systems:
• It supports retrieval of arbitrary parts of XML documents, so that a query can simply ask
for any XML tag-name as the unit of retrieval.
• It allows complex scoring and ranking of the retrieved results by directly supporting the
      </p>
      <p>
        NEXI query language [
        <xref ref-type="bibr" rid="ref12 ref13">12, 13</xref>
        ].
• It embeds NEXI queries as functions in the XQuery language, leading to ad hoc result
presentation by means of its query language.
      </p>
      <p>• It supports text search combined with traditional database querying.</p>
      <p>Information on PF/Tijah can be found at: http://dbappl.cs.utwente.nl/pftijah/.
3</p>
    </sec>
    <sec id="sec-2">
      <title>Language models</title>
      <p>
        Generative language models, also known as statistical language models and commonly referred to
as language models, estimate the probability distribution over all possible linguistic units of word
sequences by applying statistical estimation techniques. In the language modelling approach to
IR [
        <xref ref-type="bibr" rid="ref10 ref4 ref9">10, 4, 9</xref>
        ], a language model ϕD is inferred for each document D in the collection, i.e., the
parameters of this language model are estimated from the document’s text. Then, this language
model is used for estimating probabilities of samples such as a query. Given a query Q, the ranking
of the documents in the collection is produced by estimating the likelihood of the query (i.e., the
probability of generating the query) P (Q|ϕD), given ϕD the estimated language model for each
document. For simplicity, we denote the query likelihood as P (Q|D).
      </p>
      <p>
        Here, we consider that the text associated with each image corresponds to a textual document
and that queries consist only of a textual part. Documents are modelled using a multinomial
distribution, and queries and documents are represented as sequences of terms [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. With a query
represented as a sequence of k random variables each corresponding to a term, its likelihood is:
k
P (q|D) = P (q1, q2, . . . , qk|D) = Y P (qi|D)
i=1
assuming that each qi is generated independently from the previous ones given the document
model. The language model is thus reduced to modelling the distribution of each single term.
      </p>
      <p>The simplest estimation strategy for an individual term probability is the maximum likelihood
estimate (mle). This corresponds to the relative frequency of a term ti in a specific document
d Pmle(ti|d) = Ptf it,fdt,d , where tf i,d, the term frequency of term ti in document d, is normalised
t
by the document’s length (the sum of the term frequencies of all of its terms). However, this
estimate is not suitable for IR, since it will assign zero query likelihood probabilities to documents
missing even a single query term. This sparse estimation problem is addressed by smoothing
techniques, e.g., the Jelinek-Mercer smoothing, which is a mixture model (a linear interpolation)
of the document model with a background model (the collection model in this case):
k
P (q|D) = Y(1 − λ)Pmle(qi|D) + λPmle(qi|C)</p>
      <p>i=1
2http://www.sourceforge.net/projects/monetdb/
3http://www.w3.org/TR/xquery/
(1)
(2)
where Pmle(ti|C) = Pdtfidft , dfi the document frequency of term ti in the collection.</p>
      <p>Such language models can also be used to rank the documents in the collection by the posterior
probability of a document being relevant to a query:</p>
      <p>
        P (D|Q) ∝ P (D)P (Q|D)
where P (D) is the prior probability of the document being relevant, typically estimated given
the document’s query-independent features. To estimate these priors, two approaches can be
distinguished [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]: (i) direct estimation on some training data, and (ii) definition based on some
general modelling assumptions. For direct estimation of the probability of relevance of a document
given its feature f , we can use the distribution of the feature in the relevant set and in the collection:
(3)
(4)
P (R|Df ) =
      </p>
      <p>P (Df |R)P (R)</p>
      <p>P (Df )
∝</p>
      <p>P (Df |R)</p>
      <p>
        P (f )
=
#(rel, f )
#(f )
where #(rel, f ) is defined as the number of relevant documents with feature f and #(f ) as the
total number of documents with that feature [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. This estimate can then be used directly in
Equation 3. Alternatively, one could make the general modelling assumption (with or without
training data) that the a-priori probability of relevance is taken to be a function of that feature,
e.g., a linear function when the feature under consideration is the document’s length:
P (R|Df ) ∝ C × doclength(D)
(5)
where C a constant that can be ignored in the ranking. In previous research, CWI has investigated
the application of such generative probabilistic models both to image and to video retrieval [
        <xref ref-type="bibr" rid="ref14 ref16 ref17 ref18 ref8">16,
17, 18, 8, 14</xref>
        ].
4
      </p>
    </sec>
    <sec id="sec-3">
      <title>WikipediaMM task</title>
      <p>We participated in the wikipediaMM task where we used PF/Tijah for indexing and retrieval. Each
image was represented by its accompanying textual description in English. Stopword removal and
stemming were applied.
4.1</p>
      <sec id="sec-3-1">
        <title>Runs</title>
        <p>
          By using the topics’ title only field, we submitted two runs based on the language model in
Equation 2, with λ = 0.8 in both cases (a standard value for many retrieval tasks [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]). Our first run
cwi lm txt simply applied this smoothed language model. Our second run cwi lm lprior txt
used Equation 3 to produce the ranking by incorporating a prior based on a linear function of
length, so as to bias retrieval towards images with richer descriptions. Length was defined as the
number of terms in the image description. Length priors have played an important role in IR,
with previous research investigating the influence of this basic query-independent feature in the
retrieval of textual documents [
          <xref ref-type="bibr" rid="ref11 ref4 ref6">11, 4, 6</xref>
          ].
4.2
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>Results</title>
        <p>(a) wikipediaMM 2008 image collection</p>
        <p>(b) wikipediaMM 2008 relevant images
WikipediaMM retrieved images at ImageCLEF 2008</p>
        <p>WikipediaMM retrieved images at ImageCLEF 2008
60000
50000
ts 40000
couen
m
fD 30000
eob
r
m
uN 20000
10000
16000
14000
ts 12000
en
coum 10000
deD
itrve 8000
eR
f
roe 6000
b
m
uN 4000
2000
(Figure (1b)). While the collection mostly contains images with shorter descriptions, the relevant
ones appear to be associated with slightly longer descriptions. If we would not pay attention to
document length and just use a retrieval model that does not have a bias for documents of any
size, we would retrieve shorter documents than the relevant ones. Simply giving a bias towards
longer documents would have the potential of improving the retrieval results.</p>
        <p>WikipediaMM image colection at ImageCLEF 2008</p>
        <p>WikipediaMM relevant images at ImageCLEF 2008
2 Log2 of D4ocument Size (=6number of terms8)
10
(c) wikipediaMM 2008 retrieved images
(cwi lm txt)
(d) wikipediaMM 2008 retrieved images
(cwi lm lprior txt)</p>
        <p>However, in reality, a retrieval model does not retrieve documents of all sizes uniformly. For
example, the language model we use interpolates foreground and background probabilities in a
standard manner and computes the foreground probability based on the relative frequency of
query terms in documents. This has the effect that short documents containing query terms
get a high score. Figure (1c) shows the distribution of documents that we retrieve using this
language modeling approach if we do not compensate for document length (i.e., those retrieved
by cwi lm txt). This analysis indicates that this approach already retrieves documents with sizes
similarly distributed to those of the relevant ones. As a result, further biasing towards longer
documents (Figure (1d)) is not beneficial. Further experiments are needed to find appropriate
priors and to analyse their impact on retrieval effectiveness.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusions</title>
      <p>CWI used PF/Tijah to participate in the wikipediaMM task at ImageCLEF 2008. We employed
a language modelling approach that considers only textual evidence and produced satisfactory
results. We also examined the incorporation of length priors. Our analysis indicated that the
textual descriptions of the relevant images tend to be of equal length to the ones our approach
retrieves, thus biasing towards images with richer descriptions is not beneficial.
6</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgements</title>
      <p>This material is based on work supported by the European Union via the European Commission
project VITALAS (contract no. 045389).</p>
    </sec>
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