=Paper= {{Paper |id=None |storemode=property |title=Towards Mining Semantic Maturity in Social Bookmarking Systems |pdfUrl=https://ceur-ws.org/Vol-830/sdow2011_paper_10.pdf |volume=Vol-830 |dblpUrl=https://dblp.org/rec/conf/semweb/AtzmuellerBHS11 }} ==Towards Mining Semantic Maturity in Social Bookmarking Systems== https://ceur-ws.org/Vol-830/sdow2011_paper_10.pdf
           Towards Mining Semantic Maturity
             in Social Bookmarking Systems

    Martin Atzmueller1 , Dominik Benz1 , Andreas Hotho2 , and Gerd Stumme1
           1
             Knowledge & Data Engineering Group, University of Kassel,
                              34121 Kassel, Germany
                  {atzmueller,benz,stumme}@cs.uni-kassel.de
       2
         Data Mining & Information Retrieval Group, University of Würzburg,
                            97074 Würzburg, Germany
                      hotho@informatik.uni-wuerzburg.de



       Abstract. The existence of emergent semantics within social metadata
       (such as tags in bookmarking systems) has been proven by a large number
       of successful approaches making the implicit semantic structures explicit.
       However, much less attention has been given to the factors which influence
       the “maturing” process of these structures over time. A natural hypoth-
       esis is that tags become semantically more and more mature whenever
       many users use them in the same contexts. This would allow to describe
       a tag by a specific and informative “semantic fingerprint” in the context
       of tagged resoures. However, the question of assessing the quality of such
       fingerprints has been seldomly addressed.
       In this paper, we provide a systematic approach of mining semantic ma-
       turity profiles within folksonomy-based tag properties. Our ultimate goal
       is to provide a characterization of “mature tags”. Additionally, we con-
       sider semantic information about the tags as a gold-standard source for
       the characterization of the collected results. Our initial results suggest
       that a suitable composition of tag properties allows the identification of
       more mature tag subsets. The presented work has implications for a num-
       ber of problems related to social tagging systems, including tag ranking,
       tag recommendation, and the capturing of light-weight ontologies from
       tagging data.


1    Introduction

Social metadata, especially collaboratively created keywords or tags, form an
integral part of many social applications such as BibSonomy3 , Delicious4 , or
Flickr5 . In such social systems, many studies of the development of the tagging
structure have shown the presence of emergent semantics (e.g., [3]) in the set
of human-annotated resources. That is, the semantics of tags develop gradually
depending on their usage.
3
  http://www.bibsonomy.org
4
  http://www.delicious.com
5
  http://www.flickr.com
    Due to this important observation, one can regard this development as a
process of “semantic maturing”. The basic idea is that knowledge about a set
of cooccurring tags is sufficient for determining synonyms with a certain relia-
bility. The underlying assumption is that tags become “mature” after a certain
amount of usage. This maturity will then be reflected in a stable semantic profile.
Thus, tags that have arrived at this stage can be regarded as high-quality tags,
concerning their encoded amount of emergent semantics.
    In this paper, we utilize folksonomy-based tag properties for mining profiles
indicating “matured tags”, i.e., high-quality tags that can be considered to convey
more precise semantics according to their usage contexts. The proposed proper-
ties consist of various structural properties of the tagging data. e.g., centrality, or
frequency properties. For a semantic grounding, we analyze the applied tagging
data with respect to tag-tag relations in Wordnet, for assessing the “true” seman-
tic quality. Our contribution is thus three-fold: We provide and discuss different
tag properties that are useful in determining semantic maturity profiles of tags.
These are all obtained considering the network structure of folksonomies. Addi-
tionally, we obtain a detailed statistical characterization of semantic tag maturity
profiles in a folksonomy dataset. Finally, we provide a list of useful indicators for
identifying “mature tags” as well as synonyms in this context.
    Applications of the obtained knowledge concern the construction of light-
weight ontologies using tagging knowledge [18], tag recommendation [14,19], or
tag ranking [16]. All of these utilize selection options and/or ranking information
about sets of tags, for initial setup and refinement. Tag ranking approaches, for
example, can benefit from a “maturity ranking” for filtering purposes.
    The rest of the paper is structured as follows: Section 2 discusses related work.
After that, Section 3 introduces basic notions of the presented approach, including
folksonomy-based tag properties, and the applied pattern mining method. Then,
we describe the mining methodology in detail, discuss our evaluation setting
and present the obtained results. Finally, Section 5 concludes the paper with a
summary and interesting directions for future research.


2    Related Work
While the phenomenon of collaborative tagging was discussed in its early stages
mainly in newsgroups or mailing lists (e.g. [17]), a first systematic analysis was
performed by [10]. One core finding was that the openness and uncontrolledness
of these systems did not give rise to a “tag chaos”, but led on the contrary to the
development of stable patterns in tag proportions assigned to a given resource. [5]
reported similar results and denoted the emerging patterns as “semantic finger-
prints” of resources. [18] presented an approach to capture emergent semantics
from a folksonomy by deriving lightweight ontologies. In the sequel, several meth-
ods of capturing emergent semantics in the form of (i) tag taxonomies [12], (ii)
measures of semantic tag relatedness [6], (iii) tag clusterings [22] and (iv) map-
ping tags to concepts in existing ontologies [1] were proposed.
    Most of the above works provided evidence for the existence of emergent
tag semantics by making certain aspects of it explicit; however, the question
which factors influcence its development were seldomly discussed. Despite that,
a common perception seemed to be that a certain amount of data is necessary
for getting a “signal”. Golder and Hubermann [10] gave a rough estimate that
“after the first 100 or so bookmarks”, the proportions of tags assigned to a re-
source tended to stabilize. This suggested the rule “the more data, the better
semantics”. This assumption was partially confirmed by Körner et al. [15], who
analyzed the amount of emergent semantics contained in different folksonomy
partitions. More data had a beneficial effect, but the user composition within the
partitions turned out to be crucial as well: Sub-folksonomies induced by so-called
“describers”, which exhibit a certain kind of tag usage pattern, proved to contain
semantic structures of higher quality. Halpin [11] showed that the tag distribution
at resources tends to stabilize quickly into a power-law, as a kind of “maturing”
of resources. In contrast, our work targets the maturing of tags themselves.
    Hovever, to the best of our knowledge none of the aforementioned works
has systematically addressed the question if there exists a connection between
structural properties of tags and the quality of semantics they encode (i.e. their
“semantic maturity”). In this work, we aim to fill this gap.


3     Preliminaries
In the following sections, we first briefly present a formal folksonomy model and
a folksonomy-based measure of tag relatedness. Then, we detail on the structural
and statistical tag properties serving as a basis for mining maturity profiles. After
that, we briefly summarize the basics of the applied pattern mining technique.

3.1   Folksonomies and Semantic Tag Relatedness
The underlying data structure of collaborative tagging systems is called folkso-
nomy; according to [13], a folksonomy is a tuple F := (U, T, R, Y ) where U , T ,
and R are finite sets, whose elements are called users, tags and resources, respec-
tively. Y is a ternary relation between them, i.e. Y ⊆ U × T × R. An element
y ∈ Y is called a tag assignment or TAS. A post is a triple (u, Tur , r) with u ∈ U ,
r ∈ R, and a non-empty set Tur := {t ∈ T | (u, t, r) ∈ Y }.
     Folksonomies introduce various kinds of relations among their contained lexi-
cal items. A typical example are cooccurrence networks, which constitute an ag-
gregation indicating which tags occur together. Given a folksonomy (U, T, R, Y ),
one can define the post-based tag-tag cooccurrence graph as Gcooc = (T, E, w) ,
whose set of vertices corresponds to the set T of tags. Two tags t1 and t2 are
connected by an edge, iff there is at least one post (u, Tur , r) with t1 , t2 ∈ Tur .
The weight of this edge is given by the number of posts that contain both t1 and
t2 , i.e. w(t1 , t2 ) := card{(u, r) ∈ U × R | t1 , t2 ∈ Tur }
     For assessing the semantic relatedness between tags we apply the resource
context similarity (cf. [6]) computed in the vector space RR . For a tag t, the
vector vt ∈ RR counts how often the tag t is used for annotating a certain
resource r ∈ R:
                              vtr = card{u ∈ U | (u, t, r) ∈ Y } .
    Based on this representation, we measure vector similarity by using the cosine
measure, as is customary in Information Retrieval: If two tags t1 and t2 are
represented by v 1 , v 2 ∈ RX , their cosine similarity is defined as: cossim(t1 , t2 ) :=
cos ](v 1 , v 2 ) = ||v1 v||12 ·v
                               ·||v 2 ||2 . In prior work, we showed that this measure comes
                                  2


close to what humans perceive as semantically related [6].


3.2   Folksonomy-Based Tag Properties

For folksonomy-based tag properties, we can utilize aggregated information such
as frequency, but also properties based on the network structure of the tag-tag
co-occurrence graph. The properties below are based on prior work in related
areas. They are abstract in that sense, that none of them considers the textual
content of a tag. Therefore, all properties are language independent since the only
operate on the folksonomy structure, on aggregated information, or on derived
networks. Below, we describe the different folksonomy-based properties, and also
discuss their intuitive role regarding the assessment of tag maturity.


Centrality Properties In network theory the centrality of a node v ∈ V in
a network G is usually an indication of how important the vertex is [20]. Be-
cause important nodes are usually well-connected within the network, one can
hypothesize that this connectedness corresponds to a well-established semantic
fingerprint. On the other hand, high centrality might correspond to a relatively
“broad” meaning – in the context of our study, we avoid the latter by restricting
ourselves to single-sense tags (see Section 4). Applied to our problem at hand, we
interpret centrality as a measure of maturity, following the intuition that more
mature terms are also more “important”. We adopted three standard centralities
(degree, closeness, betweenness). All of them can be applied to a term graph G:
  – According to betweenness centrality a vertex has a high centrality if it can be
    found on many shortest paths between other vertex pairs:
                                               X         σst (v)
                                  bet(v) =                                              (1)
                                                          σst
                                             s6=v6=t∈V


   Hereby, σst denotes the number of shortest paths between s and t and σst (v)
   is the number of shortest paths between s and t passing through v. As its
   computation is obviously very expensive, it is often approximated [4] by cal-
   culating the shortest paths only between a fraction of points.
   It seems intuitive, that tags with a high betweenness centrality are closer
   to important (semantic) hubs, and therefore more mature themselves. In
   essence, higher values should indicate semantic maturity.
 – A vertex ranks higher according to closeness centrality the shorter its shortest
   path length to all other reachable nodes is:

                                                     1
                                 clos(v) = P                                            (2)
                                               t∈V \v dG (v, t)
   dG (v, t) denotes hereby the geodesic distance (shortest path) between the
   vertices v and t. A tag with a high closeness value is therefore more close
   to the core of the Folksonomy. Therefore, it seems intuitive to assume, that
   more central tags according to this measure should have a higher probability
   of being more mature.
 – The degree centrality simply counts the number of direct neighbors d(v) of a
   vertex v in a graph G = (V, E):
                                                  d(v)
                                     deg(v) =                                    (3)
                                                |V | − 1
      Comparred to the other metrics, degree centrality is a local measure since it
      only takes into account the direct neighbourhood of a tag within the network.
      According to the degree, a tag could be linked to both semantically mature
      and non-mature tags. In this sense, it seems intuitive to assume that other
      factors need to be taken into account; then an estimation of the effect of the
      degree centrality can be considered.

Frequency Properties One first idea about tag maturity considers the fact
that tags that are used more often can get more mature, since they can exhibit
a more specific fingerprint. However, this does not guarantee maturity of tags.
Therefore, we consider the frequency of a tag as a candidate for the analysis.
 – We capture the resource frequency property rfreq which counts the number
    of resources tagged by a given tag t according to

                        rfreq(t) = card{r : ∃(u, t0 , r) ∈ Y, t = t0 }           (4)

   For the semantic assessment of tag, an intuitive hypothesis could be that the
   semantic profile of a tag gets more concise when more and more resource are
   tagged with it. However, this is not necessarily a criterion for mature tags
   since the development of the semantic profile could still be relatively fuzzy.
 – The user frequency property ufreq counts the number of users that applied
   the tag t:
                      ufreq(t) = card{u : ∃(u, t0 , r) ∈ Y, t = t0 }           (5)
      Similar to the resource frequency, more users should help to focus the seman-
      tic profile of a tag due to the refinement of its usage patterns.

3.3     Pattern Mining using Subgroup Discovery
Subgroup discovery [21,2] aims at identifying interesting patterns with respect to
a given target property of interest according to a specific interesting measure. In
our context, the target property is given by a quality indicator for tags. The top
patterns are then ranked according to the given interesting measure. Subgroup
discovery is especially suited for identifying local patterns in the data, that is,
nuggets that hold for specific subsets: It can uncover hidden relations captured
in small subgroups, for which variables are only significantly correlated in these
subgroups.
      Formally, a database D = (I, A) is given by a set of individuals I (tags) and
a set of attributes A (i.e., tag properties). A selector or basic pattern sel a=aj is a
boolean function I → {0, 1} that is true, iff the value of attribute a is aj for this
individual. For a numeric attribute anum selectors sel a∈[minj ;maxj ] can be defined
analogously for each interval [minj ; maxj ] in the domain of anum . In this case,
the respective boolean function is set to true, iff the value of attribute anum is in
the respective range.
      A subgroup description or (complex) pattern p = {sel 1 , . . . , seld } is then given
by a set of basic patterns, which is interpreted as a conjunction, i.e., p(I) = sel 1 ∧
. . . ∧ sel d . A subgroup (extension) sg p is now given by the set of individuals sgp =
{i ∈ I|p(i) = true} := ext(p) which are covered by the subgroup description p.
A subgroup discovery task can now be specified by a 5-tuple (D, C, S, Q, k). The
target concept C : I → < specifies the property of interest. It is a function, that
maps each instance in the dataset to a target value c. It can be binary (e.g., the
quality of the tag is high or low), but can use arbitrary target values (e.g, the
continuous quality of a given tag according to a certain measure). The search
space 2S is defined by set of basic patterns S. Given the dataset D and target
concept c, the quality function Q : 2S → R maps every pattern in the search
space to a real number that reflects the interestingness of a pattern. Finally, the
integer k gives the number of returned patterns of this task. Thus, the result
of a subgroup discovery task is the set of k subgroup descriptions res1 , . . . , resk
with the highest interestingness according to the quality function. Each of these
descriptions could be reformulated as a rule resi → c.
      While a huge amount of quality functions has been proposed in literature,
cf. [9], many interesting measures trade-off the size |ext(p)| of a subgroup and
the deviation c − c0 , where c is the average value of the target concept in the
subgroup and c0 the average value of the target concept in the general population.
      We consider the quality function lift, which measures just the increase of the
average value of c in the subgroup compared to the general population:
                              c
                 lift(p) =      , if |ext(p)| ≥ TSupp , and 0 otherwise .
                             c0
with an adequate minimal support threshold TSupp considering the size of the
subgroup. Usually, the analysis is performed using different minimal size thresh-
olds in an explorative way. It is easy to see, that both types of quality measures
are applicable for binary and continuous target concepts.


4    Mining Semantic Tag Maturity
For a given Folksonomy and its tagging dataset, we apply the following steps:
Using the dataset, we construct the tag properties discussed in Section 3.2. As we
will see below, the “raw” properties do not correlate sufficiently with semantic
maturity. Therefore, we consider the dataset at the level of high-quality subgroups
of semantically matured tags, and apply pattern mining using the lift quality
function for this task. As an evaluation, we apply a gold-standard measure of
semantic relatedness derived from WordNet [8].
4.1   Methodology

For the purpose of assessing the degree of semantic maturity of a given tag, a
crucial question is how to measure this degree in a reliable and semantically
grounded manner. In prior work [6] we identified folksonomy-based measures of
semantic relatedness, which are among others able to detect potential synonym
tags for a given tag. The most precise measure we found was the resource context
relatedness, which is computed in the vector space RR . For a tag t, the vector
v t ∈ RR is constructed by counting how often a tag t is used to annotate a certain
resource r ∈ R: vtr := card{u ∈ U | (u, t, r) ∈ Y } . This vector representation
can be interpreted as a ”semantic fingerprint” of a given tag, based on its dis-
tribution over all resources. Our intuition for capturing the degree of maturity is
based on the following argumentation chain:

 1. The better the semantic fingerprint of a tag t reflects the meaning of t, the
    higher is the probability that the resource context relatedness yields “true”
    synomyms or semantically closely related tags tsim1 , tsim2 , ... for t
 2. If the most related potential synonym tag tsim1 is a “true” synonym of t (as
    grounded against the WordNet synset hierarchy), then the semantic finger-
    print of t is regarded as semantically mature.
 3. Otherwise, we consider the similarity in WordNet between t and tsim1 as an
    indicator for the maturity of the tag.

    Please note, that we are using purely folksonomy-based measures (i.e., re-
source context relatedness) as a proxy for semantic similarity, because WordNet
is not available for all tags. Simply spoken, this approach regards a tag as seman-
tically mature if the information encoded in its resource context vector suffices
to identify other tags with the same meaning. Naturally, this requires the exis-
tence of a sufficiently similar tag, which cannot be guaranteed. Therefore, this is
not a sufficient but a necessary criterion. However, we think that the approach
is justified, because the process of maturing is not restricted to isolated tags,
but takes place similar to a “co-evolution” among several tags belonging to a
certain domain of interest. As an example, if the topic of semantic web is very
popular, then a relatively broad vocabulary to describe this concept will emerge,
e.g. semantic web, semanticweb, semweb, sw, . . . . In such a case, the maturity
of a single tag would “correlate” with the existence of semantically similar tags
within the same domain of interest. In general, it is important to notice that
our methodology is also applicable to narrow folksonomies when replacing the
resource context relatedness with the tag context relatedness (see [6]).


4.2   Semantic Considerations

For assessing the semantic similarity between tags we apply WordNet [8], a se-
mantic lexicon of the English language. WordNet groups words into synsets, i.e.,
sets of synonyms that represent one concept. These synsets are nodes in a net-
work; links between these represent semantic relations. WordNet provides a dis-
tinct network structure for each syntactic category (nouns, verbs, adjectives and
adverbs). For nouns and verbs, it is possible to restrict the links in the network to
(directed) is-a relationships only, therefore a subsumption hierarchy can be de-
fined. The is-a relation connects a hyponym (more specific synset) to a hypernym
(more general synset). A synset can have multiple hypernyms, so that the graph
is not a tree, but a directed acyclic graph. Since the is-a WordNet network for
nouns and verbs consists of several disconnected hierarchies, it is useful to add a
fake top-level node subsuming all the roots of those hierarchies; the graph is then
fully connected so that several graph-based similarity metrics between pairs of
nouns and pairs of verbs can be defined. In WordNet, we measure the semantic
similarity using the taxonomic shortest-path length dist; the WordNet similarity
               dist
wns = 1 − max     dist
                       is then normalized using the maximum distance maxdist .
    In addition to the WordNet similarity, we consider two additional indicators:
  – The Maturity Indicator (mat) is a binary feature and measures if a tag has
     reached a certain maturity according to the WordNet information, i.e., the
     indicator is true, if we observe a WordNet similarity wns ≥ 0.5.
  – The Synonym-Indicator (syn) is a binary feature that specifies, if a tag-pair
     is in a synonym relation, i.e., the WordNet similarity wns = 1.
    Since we consider the semantic fingerprint of tags using folksonomy informa-
tion, we restrict the analysis to WordNet terms with only one sense; otherwise
advanced word-sense disambiguation would be necessary in order to compare the
correct senses in the WordNet synsets.

4.3   Dataset
For our experiments we used data from the social bookmarking system del.icio.us,
collected in November 2006. In total, data from 667, 128 users of the del.icio.us
community were collected, comprising 2, 454, 546 tags, 18, 782, 132 resources, and
140, 333, 714 tag assignments. For the specific purpose of our papers, some pre-
processing and filtering was necessary: For the purpose of “grounding” the true
semantic content of a tag t, we are applying vector-based measures to compute
similar tags tsim . Hence, we must assure that (i) the vector representation is
dense enough to yield meaningful similarity judgements and (ii) there exist suf-
ficiently similar tags tsim . For these reasons, we first restrict our dataset to the
10.000 most frequent tags of delicious (and to the resources/users that have been
associated with at least one of those tags). The restricted folksonomy consists
of |U | = 476, 378 users, |T | = 10, 000 tags, |R| = 12, 660, 470 resources, and
|Y | = 101, 491, 722 tag assignments. In order to assure the existence of sufficient
“similarity partners” for each tag, we filter all tags whose cosine similarity to
their most similar tag is lower than 0.05. As a last step, we only considered tags
with exactly a single sense in WordNet in order to eliminate the influence of
ambiguity. After all filtering steps, we considered a total of 1944 tags. We are
aware that this is a strong limitation regardint the number of considered tags
– however, because the problem at hand as well as our experimental methodol-
ogy is sensitive towards a number of factors (like ambiguity or folksonomy-based
similarity judgements), our focus is to start with a very “clean” subset. As a
followup, it would of course be interesting to include more tags given the results
on the clean subset are promising.
Table 1. Correlation between WordNet Similarity (wns), Maturity Indicator (mat),
Synonym-Indicator (syn) and the different tag properties.

                                                                                                                                                  bet clos deg rfreq ufreq
                                                                                                                                              wns 0.15 0.20 0.20 0.21 0.18
                                                                                                                                              mat 0.09 0.14 0.12 0.15 0.12
                                                                                                                                              syn 0.12 0.14 0.13 0.15 0.15

   We calculated all tag properties given the described co-ocurrence network,
and discretized these using the standard MDL method of Fayyad & Irani [7]
considering the WordNet similarity as a target class.


Statistical Characterization Figure 1 and Table 1 provide a first glance on the
applied data. Each circle in Figure 1 represents one of the 1944 tags. Concerning
the WordNet similarity (wns), we observe, that there is little correlation with the
tag properties; Furthermore, we observe even lower correlations considering the
two indicators mat and syn. Therefore, pattern mining using subgroup discovery
is very suited for mining semantic tag profiles, since it also considers correlations
in rather small subgroups described by combinations of different influence factors.




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                                                                                                                                                                                                                                                                                                                                                 100000




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            1.5e+08




                                                                                                                                                                                      ●                                   ●       ●                                          ●             ●        ●        ●
                                                                                                                                                                                                                                                                                                                                         deg



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      bet




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                                                                                                                                                                       0.40




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            1.0e+08




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                                                                                                                                                                                                                                                                                                                                                 50000




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                                                                                                                              ●                                                       ●                                                   ●                          ●                         ●    ●                                                                                                     ●                               ●
            5.0e+07




                                                                                              ●                                                                                       ●
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                                                                                                                                                                       0.35




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            0.0e+00




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                                                                                                                                                                                                                                                                                                                                                 0




                      0.0        0.2                   0.4                     0.6                        0.8                     1.0                                             0.0                       0.2                   0.4                     0.6                        0.8                     1.0                                              0.0                       0.2                   0.4                 0.6                     0.8                   1.0

                                                               wns                                                                                                                                                                        wns                                                                                                                                                                         wns


                            (a) wns vs. bet                                                                                                                                               (b) wns vs. clos                                                                                                                                                            (c) wns vs. deg
                                                                                 150000




                                                                                                                                                                                                                                                            150000




                                                                                                                                                                                                                      ●                                                                                                                                                                           ●




                                                                                                                                                                                                                  ●                                                                                                                                                                           ●
                                                                                 100000




                                                                                                                                                                                                                                                            100000




                                                                                                                                                                                                                  ●                                                                                                                                                                           ●

                                                                                                                                                                              ●                                                                                                                                                                           ●
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                                                                       ufreq




                                                                                                                                                                                                                                                  ufreq




                                                                                                                                                                       ●                                          ●                                                                                                                              ●                                            ●

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                                                                                 50000




                                                                                                                                                                                                                                                            50000




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                                                                                              0.0                       0.2                   0.4                    0.6                      0.8                     1.0                                                0.0                       0.2                   0.4                   0.6                        0.8                     1.0

                                                                                                                                                      wns                                                                                                                                                                        wns


                                                                                                      (d) wns vs. rfreq                                                                                                                                                      (e) wns vs. ufreq
  Fig. 1. Scatterplots for the WordNet Similarity (wns) vs. different tag properties.

4.4            Results

We applied pattern mining for the presented dataset using the tag properties as
attributes, and the target concepts (wns, mat, syn) discussed above. Concerning
the Wordnet Similarity (wns) and the lift quality function with a minimal sub-
group size n = 40, we obtained the top patterns shown in Table 2. Lines 1-10
Table 2. Top patterns for target concept wns, split according to the different lengths
of the patterns (mean in dataset: 0.54).

    # lift mean size pattern
    1 1.43 0.78 46 ufreq > 13.0%
    2 1.28 0.70 77 rfreq > 3.0%
    3 1.26 0.69 162 clos > 64.7%
    4 1.24 0.68 275 deg > 6.0%
    5 1.23 0.67 140 bet > 1.0%
    6 1.19 0.65 523 ufreq > 1.0%
    7 1.15 0.63 761 rfreq > 0.1%
    8 1.15 0.63 627 bet > 0.2%
    9 1.13 0.62 871 clos > 47.0%
    10 1.05 0.57 1519 deg > 1.0%
    11 1.32 0.72 51 bet ∈ [0.2%, 1.0%] AND clos > 64.7%
    12 1.28 0.70 231 deg > 6.0% AND ufreq > 1.0%
    13 1.28 0.70 246 deg > 6.0% AND rfreq > 0.1%
    14 1.33 0.73 74 clos ∈ [53.0%, 64.7%] AND deg > 6.0% AND ufreq > 1.0%
    15 1.30 0.71 119 bet ∈ [0.2%, 1.0%] AND deg > 6.0% AND rfreq > 0.1%

  Table 3. Top patterns for the target concept “Maturity Indicator” (mean: 0.59)

     # lift p size pattern
     1 1.52 0.91 44 ufreq > 13.0% AND clos > 64.7%
     2 1.49 0.89 46 ufreq > 13.0%
     3 1.33 0.80 73 rfreq > 3.0% AND clos > 64.7%
     4 1.31 0.78 77 rfreq > 3.0%
     5 1.25 0.75 231 deg > 6.0% AND ufreq > 1.0%
     6 1.24 0.74 246 deg > 6.0% AND rfreq > 0.1%
     7 1.21 0.72 115 bet ∈ [0.03%, 1.0%] AND ufreq > 1.0%
     8 1.21 0.72 275 deg > 6.0%
     9 1.20 0.72 162 clos > 64.7%
     10 1.18 0.70 588 clos > 47.0% AND rfreq > 0.1%
     11 1.36 0.81 74 clos ∈ [53.0%, 64.7%] AND deg > 6.0% AND ufreq > 1.0%
     12 1.33 0.80 86 clos ∈ [53.0%, 64.7%] AND deg > 6.0% AND rfreq > 0.1%
     13 1.30 0.77 105 bet ∈ [0.03%, 1.0%] AND deg > 6.0% AND ufreq > 1.0%
     14 1.26 0.75 108 clos ∈ [53.0%, 64.7%] AND deg > 6.0% AND ufreq > 554


show only basic patterns (one selector), while the lines 11-15 indicate more com-
plex patterns. These results show that high betweenness and high closeness as
intuitively expected. The influence of the degree centrality is not as prounounced
as the other centralities, while higher degree also improves semantic maturity.
Furthermore, a relatively high user frequency seems like the best indicator for
high quality tags. Additionally, relatively high resource frequency is also a top
indicator for semantic maturity.
    If we consider the “maturity indicator” as the binary target concept, we ob-
tain the patterns shown in Table 3. We observe similar influential properties
as discussed above, however, the user and resource frequency combined with a
medium or high closeness show the best performances.
    Table 4. Top 5 patterns for the target concept “Synonym Indicator” (mean: 0.13)

        # lift p size pattern
        1 3.61 0.50 46 ufreq > 13.0%
        2 2.61 0.36 47 bet ∈ [0.2%, 1.0%] AND clos > 64.7% AND ufreq > 1.0%
        3 2.53 0.35 77 rfreq > 3.0%
        4 2.40 0.33 51 bet ∈ [0.2%, 1.0%] AND clos > 64.7%
        5 2.28 0.32 231 deg > 6.0% AND ufreq > 1.0%

    Looking at the “synonym indicator” results shown in Table 4, we observe,
that the tag properties identified above have an even more pronounced influence,
since the increase in the target concept (the lift) is between 2 and 3, indicating
an increase in the mean target share of the synonym indicator in the subgroups
by 100% to 200%. An example for a small subgroup containing only synonyms is
described by the pattern: bet ∈ [1326142, 1.0%] AND ufreq > 13.0% consists of
the tags “wallpaper”, “templates” and “bookmarks”.

5      Conclusion
In this paper, we have presented an approach for mining semantic maturity of
tags in social bookmarking systems. We applied pattern mining for identifying
subgroups of tags with mature semantic fingerprints according to different tag
properties. These were based on structural and statistical folksonomy properties
and computed using the tag co-occurrence information and tag/user frequency
information. We provided a detailed analysis of the different properties, and pre-
sented a case study using data from del.icio.us. The results indicate the influ-
ence of several properties with interesting orders of magnitude for the del.icio.us
dataset. For example, the number of users plays a crucial role for the process of se-
mantic maturing; however, the addditional consideration of centrality properties
can help to identify subsets of tags with a higher degree of maturity.
    For future work, we plan to extend our proposed methodology to larger tag
sets, including less frequently used tags and especially the notion of semantic
“immaturity”. Furthermore we plan to include further tag properties, also in-
cluding temporal aspects like the amount of time a tag is present in the system.
Additionally, we aim to evaluate the method on more datasets from diverse social
systems.


Acknowledgements
This work has partially been supported by the VENUS research cluster at the in-
terdisciplinary Research Center for Information System Design (ITeG) at Kassel
University, and by the EU project EveryAware.


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