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<Paper uid="J03-2001">
  <Title>c(c) 2003 Association for Computational Linguistics A Model for Matching Semantic Maps between Languages (French/English, English/French)</Title>
  <Section position="4" start_page="165" end_page="167" type="intro">
    <SectionTitle>
SC
</SectionTitle>
    <Paragraph position="0"> , composed of zeroes and ones, calculated using the formula M</Paragraph>
    <Paragraph position="2"> [i][j]=0, otherwise. The rank defines a spreading parameter (in the model, a rank of zero means that the two cliques are unrelated and the target clique represents an out-of-range meaning in the translation operation; a rank of three or more represents a highly cohesive semantic link).</Paragraph>
    <Paragraph position="3"> If this last constraint is imposed on all cliques, the model will output a relatively small number of terms belonging to the target's semantic field.</Paragraph>
    <Paragraph position="4">  Step 3. Constructing the source-point/target-point geometry. The factorial analysis algorithm (presented in Section 2.2.3) is followed to determine the correspondences between the source cliques and the target cliques that were retained in step 2, because they are relevant to at least one clique in the source language. The correspondences are determined by taking the product of the following matrices:</Paragraph>
    <Paragraph position="6"> is the source-clique/source-term matrix defined as in monolingual processing (see Section 2), T sc is the matrix that defines the translation between the source terms and the target terms (T</Paragraph>
    <Paragraph position="8"> and only if term j translates term i in the initial database), and M</Paragraph>
    <Paragraph position="10"> transposed target-clique/target-term matrix.</Paragraph>
    <Paragraph position="11"> For a subset of the French cliques of insensible, the closest three English cliques are given below for each French clique, along with a table of the corresponding distances calculated on the principal plane (Table 6). The maps reproduced in Figures 3-5 summarize the resulting distances for the headword insensible.</Paragraph>
    <Paragraph position="13"> : cruel, dur, f'eroce, impitoyable, implacable, inexorable, inhumain, insensible ce  : cruel, ferocious, fierce, ruthless, savage  : insensitive, unmoved 12 Our software proposes two types of lexical access. The first is more restrictive and sets the rank at three or more; the second supplies a broader vocabulary and sets the rank at two or more.  : light, slight, trifling, trivial ce  : frivolous, light, trifling, trivial ce  : insignificant, slight, trifling, trivial, unimportant Step 4. Defining the lexical regions. As above, for each language, a term is represented by the clique region that contains it. The next section will use examples to illustrate the results obtained. The entire set of results is available at http://dico.isc.cnrs.fr.  Ploux and Ji A Model for Matching Semantic Maps Figure 3 English-French space matching for the English headword insensible.</Paragraph>
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