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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Mining Meaning from Text by Harvesting Frequent and Diverse Semantic Itemsets</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Luigi Di Caro</string-name>
          <email>dicaro@di.unito.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Guido Boella</string-name>
          <email>boella@di.unito.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science University of Turin</institution>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>17</fpage>
      <lpage>32</lpage>
      <abstract>
        <p>In this paper, we present a novel and completely-unsupervised approach to unravel meanings (or senses) from linguistic constructions found in large corpora by introducing the concept of semantic vector. A semantic vector is a space-transformed vector where features represent fine-grained semantic information units, instead of values of cooccurrences within a collection of texts. More in detail, instead of seeing words as vectors of frequency values, we propose to first explode words into a multitude of tiny semantic information retrieved from existing resources like WordNet and ConceptNet, and then clustering them into frequent and diverse patterns. This way, on the one hand, we are able to model linguistic data with a larger but much more dense and informative semantic feature space. On the other hand, being the model based on basic and conceptual information, we are also able to generate new data by querying the above-mentioned semantic resources with the features contained in the extracted patterns. We experimented the idea on a dataset of 640 millions of triples subject-verb-object to automatically inducing senses for specific input verbs, demonstrating the validity and the potential of the presented approach in modeling and understanding natural language.</p>
      </abstract>
      <kwd-group>
        <kwd>Natural Language Understanding</kwd>
        <kwd>Distributional Semantics</kwd>
        <kwd>Diverse Itemset Mining</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Most Computational Linguistics applications may need semantic information
to improve their e↵ectiveness. Semantic resources are often constructed with
automatic approaches, since manual building of ontologies is not feasible on
large scale [
        <xref ref-type="bibr" rid="ref19 ref24 ref31 ref37 ref42 ref5 ref7">24, 42, 19, 37, 31, 5, 7</xref>
        ].
      </p>
      <p>
        Distributional Semantics (DS) is nowadays one of the frontiers in this field [
        <xref ref-type="bibr" rid="ref14 ref2 ref22 ref4 ref8">4,
22, 8, 2, 14</xref>
        ]. DS derives from the Distributional Hypothesis introduced by Z.
Harris [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ], where Vector Space Models (VSMs) represent its main expression [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ].
The current availability of huge corpora like ukWac [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] makes these approaches
particularly ecient. Data Mining (DM) techniques leveraging on VSMs have
been successfully applied on text since many decades on Topic Extraction-related
tasks [
        <xref ref-type="bibr" rid="ref1 ref10 ref13">10, 1, 13</xref>
        ]. Specifically, terms become interconnected by similarity scores
forming concept-like entities, i.e., words clusters sharing similar contexts [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. DS
refines traditional DM on text, since it considers language as a grammar-based
type of data. However, DS still sees linguistically-refined tokens as the basic
bricks in VSMs, su↵ering of an intrinsic limitation: a wide range of words and
grammar constructions is actually rarely used. Even in very large corpora, there
is little chance of finding statistically-significant patterns that can be used to
carve out meanings out of them. This is known as the long tail problem [
        <xref ref-type="bibr" rid="ref45">45</xref>
        ].
Moreover, DM starts from linguistic items to develop semantic information,
without reusing it for further analysis.
      </p>
      <p>
        This work is based on an interdisciplinary approach that relies on Conceptual
Spaces [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], a theory developed by P. Gardenfors in the Cognitive Science field,
through which concepts are represented by vectors whose features are
cognitive axes that humans naturally use to give meaning to their perceptions. In this
sense, rather than considering VSMs of linguistic symbols we will consider VSMs
of extensive semantic information associated with them, derived from di↵erent
sources. Our methodology leverages on the wealth of resources available on the
web concerning semantics, like Linked Open Data (e.g., DBPedia1, Freebase2,
etc.), linguistic resources (e.g., WordNet [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ], ConceptNet [
        <xref ref-type="bibr" rid="ref44">44</xref>
        ], BabelNet [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ],
etc.), Semantic Web technologies (e.g., FRED [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], TPALO [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ], etc.), and
automatic parsing of large corpora like Wikipedia to map linguistic contexts into
semantic features.
      </p>
      <p>
        An initial proof-of-concept of the proposal is given by recent research in which
the transformation of terms into top-level hypernyms carried to improvement in
several computational tasks, as in [
        <xref ref-type="bibr" rid="ref18 ref28">28, 18</xref>
        ]. While this is in line with this paper,
this transformation only involves terminological abstractions by means of IS-A
substitutions. In fact, this contribution represents a large generalization that
takes into account a wider spectrum of conceptual relationships. The outcomes
of this work are threefold:
– a new methodology that introduces the concept of semantic vectors
– a novel technique for mining frequent and diverse itemsets based on set cover
problem [
        <xref ref-type="bibr" rid="ref41">41</xref>
        ], implemented with an heuristic approach.
– a model that generalizes over existing linguistic constructions with low
resource requirements that is also able to generate new linguistic data
The paper first presents the motivations and the goals of this work. Then, the
approach is explained in terms of methodology and algorithms. An evaluation
phase is then presented, showing the data and the pursued objectives. A final
part of conclusions and future work ends the paper.
      </p>
    </sec>
    <sec id="sec-2">
      <title>1 http://dbpedia.org/About</title>
    </sec>
    <sec id="sec-3">
      <title>2 http://www.freebase.com/</title>
      <sec id="sec-3-1">
        <title>Background and Related Work</title>
        <p>In Computational Linguistics, recent advances and successful experiences of
statistical distributional approaches can be found in di↵erent tasks. The IBM
Watson Question Answering system3 is maybe the most recent and well-known direct
result. This also explains the fortunate and growing trend of available semantic
resources often constructed with automatic approaches, since manual building
of ontologies is not feasible on large scale. Currently, many systems actually try
to automatically extract semantic knowledge from texts by means of three
possible generic approaches: distributional analysis, pattern-based approaches, and
Machine Learning techniques.</p>
        <p>
          Nowadays, semantic information extraction is currently approached by
distributional analysis of linguistic items over specific contexts [
          <xref ref-type="bibr" rid="ref34">34</xref>
          ] or by starting
from seeds and patterns to build ontologies from scratch [
          <xref ref-type="bibr" rid="ref31">31</xref>
          ]. In some cases,
linguistic items are substituted by super-senses (i.e., top-level hypernyms) [
          <xref ref-type="bibr" rid="ref28">28</xref>
          ].
However, such generalization should be applied taking into account a wider
notion of semantic context introduced by related cognitive theories [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ], that has
not been addressed by current computational approaches.
        </p>
        <p>
          Distributional Semantics (DS) is nowadays one of the frontiers4 within the
Computational Linguistics field [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. DS derives from the distributional hypothesis
introduced by Z. Harris in 1954 [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ]. Vector Space Models (VSMs) [
          <xref ref-type="bibr" rid="ref39">39</xref>
          ], proposed
by Gerald Salton in the seventies, are the main expression of this idea. Data
Mining (DM) techniques fully leveraging on VSMs and Latent Semantic Analysis
(LSA) [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] have been successfully applied on text since many decades on topic
extraction-related tasks, often producing concept-like entities, i.e., words clusters
sharing similar contexts [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ].
        </p>
        <p>Current research in DS focuses on the exploration of the di↵erent impact of
parameters such as context type (i.e., text regions vs. linguistic items), window
(context extension), frequency weighting strategy (e.g., number of occurrences,
Pointwise Mutual Information, etc.), dimensionality reduction (e.g., Latent
Semantic Analysis, Random Indexing, etc.), and similarity measure (e.g., Cosine
similarity, Jaccard’s coecient, etc.). Then, it produces co-occurrences
matrices (or tensors) that model the semantics of the tokens by means of weights
distributions.</p>
        <p>DS refines traditional DM on text, since it considers language as a
grammarbased type of data instead of simple unstructured paragraphs. However, DS
still sees linguistically-refined tokens (words, lemmas, part-of-speech, etc.) as
the basic bricks in VSMs, su↵ering of an intrinsic limitation: a wide range of
words and grammar constructions is actually rarely used.</p>
        <p>On the contrary, this work concerns a radical departure from this direction,
releasing the assumption made by all approaches to rely on linguistic items
(either terms or more context-aware tokens). The current methodology still starts</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>3 http://www.ibm.com/smarterplanet/us/en/ibmwatson/</title>
    </sec>
    <sec id="sec-5">
      <title>4 See also the ERC project COMPOSES leaded</title>
      <p>http://clic.cimec.unitn.it/composes/
by</p>
      <p>
        Marco
from syntax and strings of text to extract semantics, while it would be more
reasonable to have an automated approach which also leverages on the existing
semantic resources it produces as further input. The idea at the basis of the
proposed approach is to conceptually restructure the problem of DS under the
light of research in Cognitive Science. The above-mentioned theory of
Conceptual Spaces introduced by Peter Gardenfors is about a concept representation
motivated by the notions of conceptual similarity and prototype theory [
        <xref ref-type="bibr" rid="ref38">38</xref>
        ]. A
conceptual space is a multi-dimensional feature space where points denote
objects, and regions define concepts. Its bases are composed by quality dimensions,
which denote basic features in which concepts and objects can be compared, such
as weight, color, taste and so on. Symbolic representations are particularly weak
at modeling concept learning, which is paramount for understanding many
cognitive phenomena. Concept learning is closely tied to the notion of similarity,
which is also poorly served by the symbolic approach.
      </p>
      <p>Taking inspiration from this vision of language, as basic bricks of DS we
substitute linguistic items with a representation of their meaning in terms of
sets of quality dimensions. In detail, each word can be represented by a set of
semantic relationships and properties that define a specific concept by means of
physical and behavioral facts. For instance, a cat has legs, claws, paws, eyes, etc.
(properties); then, it usually chases mouses and it sees in the dark (behaviour);
it is an animal and a feline (taxonomical information), and it can have many
other relations like the places where it can be habitually found.</p>
      <p>
        The Conceptual Spaces (CS) framework developed in the Cognitive Sciences
field by [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] is based on a vectorial representation of concepts whose features
are cognitive axes through humans naturally give meaning to their perceptions.
CS is directly connectable with VSMs since it is a particular type of VSMs
where features represent the conceptual level. Our approach is about injecting
semantics into tokens towards a concept-level feature set. One of the most
important brick in almost all Computational Linguistics tasks is the computation
of similarity scores between texts at di↵erent levels: terms, sentences and
discourses. As recently discussed in the literature [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ], semantic similarity needs to
be cross-level.
      </p>
      <p>In the DS current view, the triple subject-verb-object extracted from the
sentence “the cat climbs a tree” is equally seen as the triple extracted from “the
monkey climbs a tree”, since the two subjects share the same linguistic context.
In this work, instead, the two situations will be di↵erentiated and therefore more
deeply understood: in the first case, it will be able to correlate the fact of having
claws with the ability of climbing a tree; in the second case, this will happen
for the presence of prehensile feet. This is due to the introduction of semantics
within the process of distributional analysis itself. In fact, they share physical
body parts with a similar kind of functionality. Since only specific semantic
information are useful at a time, this new approach can also filter out
nonrelevant information (for instance, the fact that both are mammals with fur and
teeth does not suggest the ability to climb a tree). Nowadays, the extraction of
these features can be done due to the huge availability of semantic resources.</p>
      <p>Once linguistic items are replaced by semantic representations, it becomes
possible to reuse the methodology itself having as input the larger basis of
semantic information created by the system, thus creating a positive feedback cycle
and enlarging the possibilities of the system. We call this concept as semantic
loop, and, to the best of our knowledge, it is the first attempt to go beyond
single-processing systems that connect syntax with semantics towards recursive
processing of extracted semantics. For example, the action of “seeing” can show
a correlation with the fact of having eyes. Nowadays, the link between actions
and properties of subject and objects are not used while they actually provide
significant information for deeper language understanding.</p>
      <p>
        This paper presents an approach that also relies on the concept of diversity.
Diversity has been taken into account mostly in Information Retrieval (IR)
scenarios, where systems become aware of the need of obtaining search results that
cover di↵erent aspects of the data [
        <xref ref-type="bibr" rid="ref11 ref12">12, 11</xref>
        ]. However, this concept can be also
useful in di↵erent contexts like clustering [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ] and recommendation [
        <xref ref-type="bibr" rid="ref40">40</xref>
        ]. In spite
of this, within the Pattern Mining (PM) and Association Rules (AR) areas, to
the best of our knowledge, diversity has not been faced yet. Since our system
architecture needs to manage the output of these techniques with the additional
goal of producing frequent patterns that are able to cover di↵erent aspects of
the input, we also revisited them in this sense.
      </p>
      <p>This shift in the basic bricks opens new research questions and challenges
concerning Data Mining methodologies: the problem of correlating atomic
linguistic items becomes to correlate sets of features, where only some of them are
actually significant. Thus, the new challenges become to understand:
– which features need to be filtered out
– which features can be combined to approximate concepts (according to
Conceptual Spaces)
The advantages of the proposed research direction are the following:
– the integration of semantic information within the internal steps of the
current methodology can create a virtuous loop through which semantic
resources can be automatically extended.
– linguistic items are fragmented into minimal conceptual information that
enables statistical approaches to overcome the problem of low-frequency words
occurrences. In fact, even in very large corpora, there is little chance of
finding statistically-significant patterns that can be used to carve out meanings
out of text. This is known as the long tail problem. Statistical approaches
are usually not able to propagate existing information belonging to frequent
data to such long tail. One of the aim of this proposal is to define a linguistic
framework in which both rare and frequent words are fragmented into more
basic facts on which reason on, avoiding low-frequency issues.
– the use of multilingual resources will have an impact on the creation of more
powerful semantic resources, that will be more independent by word-to-word
translations. Within the DS field, a minimal step in this direction has
already been done by means of transformations of words into general concepts
or super-senses. However, this only involves terminological abstractions by
means of IS-A relationship substitutions. In fact, our proposal represents a
generalization of this since it considers a wider spectrum of conceptual
relationships. For example, a person can assume the role of living entity, doctor
or student in the context of breathing, making surgical interventions, and
studying mathematics respectively. The point is that only specific properties
are activated by the context at a time, so we avoid to assign fixed top-level
hypernyms for all the cases. In addition to this, the simple generalization of
a linguistic item does not extend the current analysis of correlations between
atomic tokens.</p>
      <p>The outcomes of such novel approach can be many:
– a new methodology that introduces the concept of semantic loop, i.e.,
iterative use of extracted semantics as input for further extension of semantic
resources
– new semantic resources, created by the use of the proposed methodology
– revisitations of Data Mining techniques for dealing with a new and more
complex type of data with respect to standard VSMs applied on text
– the proposed contribution can also have impact on how semantic knowledge
can be re-used or inherited from data in di↵erent languages. For instance, in
case there is no translation for two words in two di↵erent languages, it will be
possible to leverage their semantic information to link them automatically.
Only translation at concept level it will be needed (i.e., translation of the
new feature space). Thus, the semantic loop can work also for alignment of
di↵erent languages.
3</p>
      <sec id="sec-5-1">
        <title>Approach</title>
        <p>Our proposal concerns an automatic methods to build a large-scale semantic
framework based on a concept-level distributional analysis of the semantics
contained in plain texts. Our methodology avoids manual constructions of ontologies
which is known to be unfeasible. On the contrary, the method goes towards a
direct and extensive exploitation of the wealth of available resources regarding
semantics. In particular, it leverages di↵erent types of knowledge that can be
used to transform words (intended as lemmas or generic linguistic items, from
now on) into sets of extended and fine-grained semantic information. The
resulting explosion of such heterogeneous knowledge, coming from di↵erent sources
and methods, create a new challenge: how to align, filter, and merge it in order
to feed Vector Space models with semantics, as opposite to lexical entities.
3.1</p>
        <sec id="sec-5-1-1">
          <title>Semantic Basis</title>
          <p>
            In this paper, we started focusing on ConceptNet [
            <xref ref-type="bibr" rid="ref43">43</xref>
            ], a semantic crowdsourced
knowledge. In detail, the Open Mind Common Sense project developed by MIT
collected unstructured common-sense knowledge by asking people to contribute
over the Web. ConceptNet, a semantic graph created from a parsing of such
knowledge, is its final outcome. In contrast with linguistic resources like WordNet
[
            <xref ref-type="bibr" rid="ref29">29</xref>
            ], ConceptNet contains semantic information more related to common-sense
facts. For this reason, it has a wider spectrum of semantic relationships but a
much more sparse coverage due to the non-methodological approach that was
used to build it. For instance, among the more unusual types of relationships
(24 in total), it contains information like “ObstructedBy ” (i.e., referring to what
would prevent it from happening), “CausesDesire” (i.e., what does it make you
want to do), and “MotivatedByGoal ” (i.e., why would you do it). In addition,
it also has classic relationships like “is a” and “part of ” as in most linguistic
resources. An at-a-glance view of these semantic relations is shown in Table 1.
          </p>
          <p>
            In spite of this, the approach can work with other resources. For example,
another type of knowledge that can have an high impact on our semantic
integration comes from Linked Open Data (LOD). One of the most used LOD resources
in Computational Linguistics is DBPedia, a dataset containing data directly
extracted from Wikipedia. It contains more than 3 million concepts described by 1
billion triples, including descriptions in several languages. Other knowledge bases
are UMBEL (i.e., a 20k subjects ontology derived from OpenCyc), GeoNames
(i.e., descriptions of geographical features), and several others. Then, WordNet
[
            <xref ref-type="bibr" rid="ref29">29</xref>
            ] is a large lexical database of English nouns, verbs, adjectives and adverbs
that can further extend the semantic basis. All the words are therein grouped
into sets of synonyms (also called synsets), each expressing a distinct concept.
WordNet contains also a set of relationships that link the synsets. To make
some examples, synsets can be used to extrapolate “same as” properties from
synonyms, then hypernyms can be mapped into “is a” taxonomical information,
while meronyms can be seen as “part of ” features.
3.2
          </p>
        </sec>
        <sec id="sec-5-1-2">
          <title>Data for Distributional Analysis</title>
          <p>In order to experiment the validity of the approach, we had the need of
computing a distributional model starting from a large collection of texts. However,
instead of parsing corpora from scratch, we used a dataset of subject-verb-object
(SVO) triples generated as part of the NELL project5. This dataset contains a
set of 604 million triples extracted from the entire dependency-parsed corpus
ClueWeb09 (about 230 billion tokens)6. The dataset also provides the frequency
of each triple in the parsed corpus. We integrated a Named Entity Recognition
module to transform proper names into generic semantic classes, like people and
organizations7.
3.3</p>
        </sec>
        <sec id="sec-5-1-3">
          <title>Algorithm</title>
          <p>
            In this section, we explain the details of the approach. In particular, the
algorithm is composed by three di↵erent phases: (1) the data pre-processing step
with the generation of two transactional databases (transactions of items, as in
the fields of Frequent Itemset Mining and Association Rules [
            <xref ref-type="bibr" rid="ref6">6</xref>
            ]) that we also call
semantic vectors; (2) the extraction of frequent, closed, and diverse itemsets (we
will briefly introduce the meaning of all these names in the next paragraphs);
and finally (3) the creation of semantic verb models, that generalize and
automatically induce senses from entire linguistic constructions at sentence-level.
          </p>
        </sec>
        <sec id="sec-5-1-4">
          <title>Transactional Databases Generation The first step of the algorithm regards</title>
          <p>the generation of the semantic vectors, i.e., vectors whose features represent
conceptual and semantic facts rather than document- or context-occurrences.
Since the aim of the system is to capture senses from data, we start from the
root of the meaning, that is the verb. So, for a specific input verb v, we parse
all the SVO triples in the datasets that have a frequency higher than a set
threshold8, and we only take those who are morphological variations of v. Then,
for each one of these triples, we query ConceptNet with the subject-term and</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>5 http://rtw.ml.cmu.edu/resources/svo/</title>
    </sec>
    <sec id="sec-7">
      <title>6 http://lemurproject.org/clueweb09/</title>
    </sec>
    <sec id="sec-8">
      <title>7 We used the Stanford NLP toolkit available at http://www-nlp.stanford.edu/.</title>
    </sec>
    <sec id="sec-9">
      <title>8 In our experiments we considered SVO triples that occur at least 100 times in the</title>
      <p>whole ClueWeb09 corpus, in order to remove noisy data.
the object-term, retrieving all their semantic information that will later build
the new semantic space. Table 2 shows an example of the information collected
in this phase.</p>
      <p>Then, we associate each semantic information to a unique id and construct
two transactional databases: one for the semantic information of the subjects,
and one for the objects. An example of result of the first phase is shown in
Table 3.</p>
      <p>Diverse Itemsets Mining Once the transactional databases are built for a
specific verb “v ”, we use techniques belonging to the field of Frequent Itemset
Mining to extract frequent patterns, i.e, semantic features that frequently
cooccur in our transactional databases.</p>
      <p>The description of the problem is the following: let I = i1, i2, ..., in be a set
of items (i.e., our semantic features) and D be a multiset of transactions, where
each transaction t is a set of items such that t ✓ I. For any X ✓ I, we say that
a transaction t contains X if X ✓ t. The set X is called itemset. The set of all
X ✓ I (the powerset of I) naturally forms an itemset lattice. The count of an
itemset X is the number of transactions in D that contain X. The support of
an itemset X is the proportion of transactions in D that contain X.</p>
      <p>An itemset X is called frequent if its support is greater than or equal to some
given percentage threshold s, where s is called minimum support.</p>
      <p>
        When the database contains a significant number of large frequent itemsets,
mining all of them can be very expensive, since the space of itemsets to generate
can be huge. However, if any subset of a frequent itemset is frequent, it can be
sucient to discover only all the maximal frequent itemsets (MFIs). A frequent
itemset X is called maximal if there does not exist a frequent itemset Y such that
X ✓ Y . Mining frequent itemsets can thus be reduced to mining a “border” in
the itemset lattice. All itemsets above the border are infrequent and those that
are below the border are all frequent. Another type of frequent itemset, called
closed frequent itemset (CFI), was proposed in [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]. A frequent itemset X is
closed if none of its proper supersets have the same support.
      </p>
      <p>
        In our experimentation, we used the library called SPMF for finding closed
frequent itemsets9, applying the CHARM algorithm [
        <xref ref-type="bibr" rid="ref46">46</xref>
        ]. This is done for both
the transactional databases (subject and object databases associated to the verb
’v ’). Since our aim is to capture all the linguistic senses, i.e., the di↵erent
meanings connectable to the use of a specific verb, we also need to obtain itemsets
that cover all the items that are found in frequent itemsets. In other words, we
want to extract diverse itemsets, i.e., a minimal set of frequent and closed
itemsets that cover all the frequent items. The concept of diversity has been mostly
used in Information Retrieval tasks, and to the best of our knowledge there is
no attempt in capturing “kind of” diverse itemsets in the current literature.
      </p>
      <p>
        In order to produce these novel types of frequent itemsets, we viewed the
problem as a set cover problem [
        <xref ref-type="bibr" rid="ref41">41</xref>
        ], implementing an heuristic-based approach
to face it. Given a set of elements U = i1, i2, ..., im (called the universe) and a set
S of n sets whose union equals the universe, the set cover problem is to identify
the smallest subset of S whose union equals the universe. The only parameter of
the algorithm is the percentage of diversity div that the candidate itemsets must
have with respect to the ones already selected. The main cycle of the algorithm is
then over the closed itemsets, starting from the ones with the highest cardinality
(i.e., the ones that cover most of the items). For each candidate itemset, if its
current percentage of diversity overtakes div, it is added to the result set. In our
experiments, we set its initial value to 0.5 (candidate itemsets must have a half
of their items that are not already present in the selected itemsets). In case the
insertion phase ends without having covered all the items that are contained in
the input closed itemsets, the value decreases of a certain factor alpha (set to
0.1, in our experiments). This way, the algorithm assures its termination.
Verb Model Construction In the final phase, once obtained the frequent and
diverse itemsets for both the two transactional databases, we connect all the
      </p>
    </sec>
    <sec id="sec-10">
      <title>9 http://www.philippe-fournier-viger.com/spmf/index.php</title>
      <p>subject-itemsets with all the object-itemsets, weighting the connection according
to the their co-occurrences in the same triples of the original dataset.</p>
      <p>The semantic verb model constructed for a specific verb “v ” is thus a set of
weighted connections between frequent and diverse semantic features belonging
to the subjects of “v ” and frequent and diverse semantic features of the objects
of “v ”. On the one hand, this is a way to summarize the semantics suggested
by the verb. On the other hand, it is also a result that can be used to generate
new data by querying existing semantic resources with such semantic
subjectand object-itemsets. Still, this can be done without looking for words similar
to frequent subjects and objects, but by finding new subjects and objects that,
even if not similar in general, have certain semantic information that fill a specific
context.</p>
      <p>
        The resulting models are automatically calculated, and they are very concise,
since in all the large and sparse semantic space only few features are relevant
to certain meanings (headed by the verb). This is also in line with what stated
in [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] where the authors claimed that semantics is actually structured by
lowdimensionality spaces that are covered up in high-dimensional standard vector
spaces.
4
      </p>
      <sec id="sec-10-1">
        <title>Experiments and Results</title>
        <p>In this section we present the result of the approach on di↵erent cases. In
particular, we extracted all the triples in the dataset containing di↵erent verbs like
to play, to eat, to sing, and so forth. Then, for each of these verbs we executed
the algorithm and extracted the models, i.e., sets of weighted pairs of diverse
subject- and object-itemsets. Table 4 shows some examples of the automatically
extracted semantic information.</p>
        <p>In the experiments, we wanted to evaluate the quality of the constructed
models and their ability to generalize over the input data also taking into account
their size in comparison with classic word-based vector spaces.</p>
        <p>On the one hand, the approach is able to model the meanings expressed by
complete verbal phrases with minimal resource requirements, as shown in Figure
1. In fact, starting from hundreds of verbal instances, the method produces
itemsets with a feature space much smaller then common word spaces in which
words and chunks are represented by vector spaces of the order of thousands
of features. For instance, in the presented example, with a minimum support
of 0.05 (i.e., 5%), the resulting model is constituted by 4 diverse itemsets for
the objects and 24 for the subjects, with an average itemset cardinality of 18.5
and 12.6 respectively, covering more than 50% of the semantic features of all the
input triples.</p>
        <p>On the other hand, we calculated the coverage of the extracted models, that
is the percentage of triples subject-verb-object in the input data in which at least
one item is included in the extracted diverse itemsets. These results are shown
in Figure 2. Notice that the coverage of the diverse itemsets is always equals to
the coverage of the closed itemsets, even if the formers are less than (or equal
to) the latters.</p>
        <p>To the best of our knowledge, this is the first attempt to model entire
linguistic constructions subject-verb-object in terms of senses at sentence-level
automatically carved out from the data by deeply analyzing co-occurrent fine-grained
semantic information instead of lexical and syntactic chunks. We think that
further e↵orts on this direction can importantly change the vision and the horizon
of current Natural Language Understanding goals as well as the management of
large collections of textual data with concise, generative, and semantics-based
models.
5</p>
      </sec>
      <sec id="sec-10-2">
        <title>Conclusions</title>
        <p>This contribution represents a first e↵ort to pass from standard word-vectors
to semantic vectors. This causes the raise of new challenges, like the alignment
and the filtering of heterogeneous semantic information. Still, such shift in the
basic bricks also concerns Data Mining techniques, since the problem of
correlating linguistic items becomes to correlate sets of semantic features, where only
some of them are actually significant. In this paper, we presented an approach
that connect Natural Language Processing techniques (Lexico-syntactic
analysis, syntactic parsing10 and Named Entity Recognition) with Pattern Mining
approaches like Frequent Itemset Mining and the cover set problem.</p>
        <p>To produce semantic vectors, we started by using ConceptNet, one of the
largest semantic resource currently available. In spite of this, in future work we
will also come back to lexico-syntactic parsing of large corpora like Wikipedia
for the extraction of further semantic information directly from text.</p>
        <p>The impact of this new research direction can be extremely high. The main
question this proposal wants to engender is the following: what if
computational systems can directly reason on semantics instead of syntax? Future NLP
10 We refer here to the used subject-verb-object input structures.
technologies could move away from language through more complex meaning
understanding, also dealing with unseen and low-frequency words.</p>
        <p>By reducing commonly-huge vector spaces based on linguistic items into
synthetic conceptual matrices, we also attack the Big Data problem for textual
databases. For example, if we think at the term “color ”, a linguistic-based
vectorial representation would contain hundreds of terms that usually co-occur with it,
such as “pastel ”, “dark ”, “light ”, “red ”, “brilliant ”, and so forth. In Wikipedia,
for instance, we found more than 500 adjectival lemmas that co-occur with this
term. On the other hand, the concept of “color” can be potentially represented
by few dimensions. For instance, the HSV scheme uses only three dimensions:
brightness, hue, and saturation.</p>
        <p>We evaluated the approach by its ability to reduce the space and generalize
over the input data. In future work, we will also measure the approach on tasks
like Ontology Learning and Question Answering. This paper also introduces a
the concept of semantic loop, i.e., the recursive use of extracted semantics as
input for further extensions. The use of this methodology can create new and
extended semantic resources.</p>
        <p>
          Finally, we will leverage techniques for data compression like Multi
Dimensional Scaling (MDS) [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ], Principal Component Analysis (PCA) [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] and tensors
decompositions to actually transform combinations of properties into
reducedspaces capturing the more significant part of the data (due to their ability to
approximate information while preserving the maximum level of their
expressivity). Cognitive psychology has deeply used such techniques in a wide variety of
applications where the explanation of cognitive processes can be derived directly
from them.
        </p>
      </sec>
    </sec>
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