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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Conceptual Abstractness: from Nouns to Verbs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Davide Colla</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Enrico Mensa</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aureliano Porporato</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniele P. Radicioni</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Dipartimento di Informatica - Universita` degli Studi di Torino</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>English. Investigating lexical access, representation and processing involves dealing with conceptual abstractness: abstract concepts are known to be more quickly and easily delivered in human communications than abstract meanings (Binder et al., 2005). Although these aspects have long been left unexplored, they are relevant: abstract terms are widespread in ordinary language, as they contribute to the realisation of various sorts of figurative language (metaphors, metonymies, hyperboles, etc.). Abstractness is therefore an issue for computational linguistics, as well. In this paper we illustrate how to characterise verbs with abstractness information. We provide an experimental evaluation of the presented approach on the largest existing corpus annotated with abstraction scores: our results exhibit good correlation with human ratings, and point out some open issues that will be addressed in future work.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Italiano. In questo lavoro presentiamo il
tema dell’astrattezza come una
caratteristica diffusa del linguaggio, e un nodo
cruciale nell’elaborazione automatica del
linguaggio. In particolare illustriamo un
metodo per la stima dell’astrattezza che
caratterizza i verbi a partire dalla
composizione dei punteggi di astrattezza degli
argomenti dei verbi utilizzando la risorsa
Abs-COVER.</p>
    </sec>
    <sec id="sec-2">
      <title>1 Introduction</title>
      <p>
        Surprisingly enough, most of frequently used
words (70% of the top 500) seem to be associated
to abstract concepts
        <xref ref-type="bibr" rid="ref26 ref29">(Recchia and Jones, 2012)</xref>
        .
Coping with abstractness is thus central to the
investigation of lexical access, representation, and
processing and, consequently, to build systems
dealing with natural language. Information on
conceptual abstractness impacts on many diverse
NLP areas, such as word sense disambiguation
(WSD)
        <xref ref-type="bibr" rid="ref14">(Kwong, 2008)</xref>
        , the semantic processing
of figurative uses of language
        <xref ref-type="bibr" rid="ref27 ref31">(Turney et al., 2011;
Neuman et al., 2013)</xref>
        , automatic translation and
simplification
        <xref ref-type="bibr" rid="ref34">(Zhu et al., 2010)</xref>
        , the processing of
social tagging information
        <xref ref-type="bibr" rid="ref2">(Benz et al., 2011)</xref>
        , and
many others, as well. In the WSD task,
abstractness has been investigated as a core feature in the
fine tuning of WSD algorithms
        <xref ref-type="bibr" rid="ref13">(Kwong, 2007)</xref>
        :
in particular, experiments have been carried out
showing that “words toward the concrete side tend
to be better disambiguated that those lying in the
mid range, which are in turn better disambiguated
than those on the abstract end”
        <xref ref-type="bibr" rid="ref14">(Kwong, 2008)</xref>
        .
      </p>
      <p>
        A recent, inspiring, special issue hosted by the
Topics in Cognitive Science journal on ‘Abstract
Concepts: Structure, Processing, and Modeling’
provides various pointers to tackle abstractness,
by posing it as a relevant issue for several
disciplines such as psychology, neuroscience,
philosophy, general AI and, of course, computational
linguistics
        <xref ref-type="bibr" rid="ref15 ref21 ref22 ref23 ref4">(Bolognesi and Steen, 2018)</xref>
        . As pointed
out by the Editors of the special issue, the
investigation on abstract concepts is central in the
multidisciplinary debate between grounded views
of cognition versus modal (or symbolic) views of
cognition. In short, cognition might be embodied
and grounded in perception and action
        <xref ref-type="bibr" rid="ref10">(Gibbs Jr,
2005)</xref>
        : accessing concepts would amount to
retrieving and instantiating perceptual and motoric
experience. Typically, abstract concepts, that have
no direct counterpart in terms of perceptual and
motoric experience, are accounted for by such
theories with difficulty. On the other side, modal
approaches to concepts are mostly in the realm of
distributional semantic models: in this view, the
meaning of rose is “the product of statistical
computations from associations between rose and
concepts like flower, red, thorny, and love”
        <xref ref-type="bibr" rid="ref20">(Louwerse, 2011)</xref>
        .1
      </p>
      <p>
        While we do not enter this passionate debate,
we start by considering that distributional models
are of little help in investigating abstractness, with
some notable exceptions, such as the interesting
links between abstractness and emotional content
drawn in
        <xref ref-type="bibr" rid="ref15 ref16">(Lenci et al., 2018)</xref>
        . In fact, whilst
distributional models can be easily used to express
similarity and analogy
        <xref ref-type="bibr" rid="ref32">(Turney, 2006)</xref>
        , since they
are basically built on co-occurrence matrices, they
are largely acknowledged to convey vague
associations rather than defining a semantically
structured space
        <xref ref-type="bibr" rid="ref15 ref16">(Lenci, 2018)</xref>
        . As illustrated in the
following, our approach is different from such
mainstream approach, in that the conceptual
descriptions used to compute abstractness and
contained in the lexical resources COVER
        <xref ref-type="bibr" rid="ref15 ref21 ref22 ref23 ref7">(Mensa
et al., 2018c)</xref>
        and ABS-COVER
        <xref ref-type="bibr" rid="ref21 ref22 ref23 ref7">(Mensa et al.,
2018b)</xref>
        2 are aimed at putting together the
lexicographic precision and richness of BabelNet
        <xref ref-type="bibr" rid="ref26 ref29">(Navigli and Ponzetto, 2012)</xref>
        and the common-sense
knowledge available in ConceptNet
        <xref ref-type="bibr" rid="ref11">(Havasi et al.,
2007)</xref>
        .
      </p>
      <p>
        One preliminary issue is, of course, how to
define abstractness, since no general consensus has
been reached on what should be measured when
considering abstractness or, conversely,
concreteness
        <xref ref-type="bibr" rid="ref12 ref19">(Iliev and Axelrod, 2017)</xref>
        . The term ‘abstract’
has two main interpretations: i) what is not
perceptually salient, and ii) what is less specific, and
referred to the more general categories contained
in the upper levels of a taxonomy/ontology.
According to the second view, the concreteness or
specificity —the opposite of abstractness— can be
defined as a function of the distance intervening
between a concept and a parent of that concept in
the top-level of a taxonomy or ontology
        <xref ref-type="bibr" rid="ref6">(Changizi,
2008)</xref>
        : the closer to the root, the more abstract. In
this setting, existing taxonomies and ontology-like
resources can be directly employed, such as
WordNet
        <xref ref-type="bibr" rid="ref24">(Miller et al., 1990)</xref>
        or BabelNet
        <xref ref-type="bibr" rid="ref26 ref29">(Navigli and
Ponzetto, 2012)</xref>
        .
      </p>
      <p>
        In this work we single out the first aspect, and
1Modal or symbolic views of cognition should not be
confused with the symbolic AI, based on high-level
representations of problems, as outlined by the pioneering work by
Newell and Simon (such as, e.g., in
        <xref ref-type="bibr" rid="ref28">(Newell, 1980)</xref>
        ), that was
concerned with physical symbol systems
2https://ls.di.unito.it.
focus on perceptually salient abstractness; we start
from a recent work where we proposed an
algorithm to compute abstractness
        <xref ref-type="bibr" rid="ref21 ref22 ref23 ref7">(Mensa et al.,
2018a)</xref>
        for concepts contained in COVER
        <xref ref-type="bibr" rid="ref15 ref18 ref21 ref22 ref23 ref7">(Mensa
et al., 2018c; Lieto et al., 2016)</xref>
        ,3 and we extend
that approach in order to characterise also verbs,
whose abstractness is presently computed by
combining the abstractness of their (nominal)
dependents. Different from most literature we treat
abstractness as a feature of word meanings (senses),
rather than a feature of word forms (terms).
2
      </p>
    </sec>
    <sec id="sec-3">
      <title>Related Work</title>
      <p>
        Due to space reasons we cannot provide a full
account of the related work from a scientific
perspective nor about applications and systems; we limit
to adding a mention to the closest and most
influential approaches. Abstractness has been used
to analyse web image queries, and to characterise
them in terms of processing difficulty
        <xref ref-type="bibr" rid="ref33">(Xing et al.,
2010)</xref>
        . In particular, the abstractness associated
to nouns is computed by checking the presence of
the physical entity synset among the hypernyms of
senses in the WordNet taxonomy. This approach
also involves a disambiguation step, which is
performed through a model trained on the SemCor
corpus
        <xref ref-type="bibr" rid="ref25">(Miller et al., 1993)</xref>
        .
      </p>
      <p>
        Methods based on both (perceptual vs.
specificity-based) notions of abstractness are
compared in
        <xref ref-type="bibr" rid="ref30">(Theijssen et al., 2011)</xref>
        . Specifically,
the authors of this work report a 0:17 Spearman
correlation between scores obtained with the
method by
        <xref ref-type="bibr" rid="ref6">(Changizi, 2008)</xref>
        and those obtained
by
        <xref ref-type="bibr" rid="ref33">(Xing et al., 2010)</xref>
        , in line with the findings
about the correlation of values based on the two
definitions. This score can be considered as
an estimation of the overlap of the two notions
of abstractness: the poor correlation seems to
suggest that they are rather distinct.
      </p>
      <p>
        Finally, the abstractness scores by
        <xref ref-type="bibr" rid="ref33">(Xing et al.,
2010)</xref>
        and
        <xref ref-type="bibr" rid="ref6">(Changizi, 2008)</xref>
        have been compared
with those in the Medical Research Council
Psycholinguistic (MRC) Dataset
        <xref ref-type="bibr" rid="ref8">(Coltheart, 1981)</xref>
        reporting, respectively, a 0:60 and 0:29 Spearman
correlation with the human ratings.
      </p>
      <p>
        3COVER is a lexical resource developed in the frame of
a long-standing research aimed at combining ontological and
common-sense reasoning
        <xref ref-type="bibr" rid="ref17 ref19 ref9">(Ghignone et al., 2013; Lieto et al.,
2015; Lieto et al., 2017)</xref>
        .
      </p>
    </sec>
    <sec id="sec-4">
      <title>From Nouns to Verbs Abstractness</title>
      <p>In this Section we recall the conceptual
representation implemented in COVER; we then describe
how the resource has evolved into ABS-COVER,
that provides nouns with abstractness scores. We
then show how abstractness scores are computed
for verbs.</p>
      <p>COVER is a lexical resource aimed at
hosting general conceptual representations. Each
concept c is identified through a BabelNet synset
ID and described as a vector representation
~c, composed by a set of semantic dimensions
D = fd1; d2; : : : dng. Each such dimension
encodes a relationship like, e.g., ISA, USEDFOR,
HASPROPERTY, CAPABLEOF, etc. and reports
the concepts that are connected to c along the
dimension di. The vector space dimensions are
based on ConceptNet relationships. The
dimensions are filled with BabelNet synset IDs, so that
finally each concept c in COVER can be defined
as
~c = [ fhIDd; fc1;</p>
      <p>; ckgig
d2D
where IDd is the identifier of the d-th dimension,
and fc1; ; ckg is the set of values (concepts
themselves) filling d.
3.1</p>
      <sec id="sec-4-1">
        <title>Annotation of Nouns in ABS-COVER</title>
        <p>
          The annotation of COVER concepts is driven by
the hypothesis that the abstractness of a concept
can be computed by the abstractness of its
ancestor(s) (basically, its hypernyms in WordNet),
resorting to their top level super class, either abstract
or concrete entity, as previously done in
          <xref ref-type="bibr" rid="ref33">(Xing
et al., 2010)</xref>
          . In ABS-COVER every concept
is automatically annotated with an abstractness
score ranging in the [0; 1] interval, where the left
bound 0:0 features fully concrete concepts, and the
right bound 1:0 stands for maximally abstract
concept. The main algorithm consists of two steps,
the base score computation and the smoothing
phase
          <xref ref-type="bibr" rid="ref21 ref22 ref23 ref7">(Mensa et al., 2018a)</xref>
          .
        </p>
        <p>The base score computation is designed to
compute a base abstractness score for each
element e in COVER. a) The algorithm first looks
up for the concepts associated to e in BabelNet and
retrieves the corresponding set of WordNet
hypernyms: if these contain the physical entity concept,
the base abstractness score of e is set to 0:0;
otherwise it is set to 1:0. b) In case of failure (i.e.,
no WordNet synset ID can be found for e), the
direct BabelNet hypernyms of e are retrieved and the
step a is performed for each such hypernyms.
Finally, c) in case taxonomic information cannot be
exploited for e, the BabelNet main gloss for e is
retrieved and disambiguated, thus obtaining a set
of concepts N . We then perform steps (a and b)
for each noun n 2 N . The gloss scores are
averaged and the result is assigned as score of e. If
the function fails in all of these steps, the
abstractness score is set to 1, indicating that no suitable
score could be computed. For example, the
concept bomb as “an explosive device fused to
explode under specific conditions”,4 is connected to
physical entity through its hypernyms in WordNet;
thus, its base score is set to 0:0.</p>
        <p>The smoothing phase focuses on the tuning
of the base scores previously obtained by
following human perception accounts; to do so, we
employ the common-sense knowledge available in
COVER. Given a vector ~c in the resource, we
explore a subset of its dimensions:5 all the base
abstractness scores of the concepts that are
values for these dimensions are retrieved, and the
average score svalues-avg is computed. The score
svalues-avg is then in turn averaged with svec-base,
that is the base score of ~c, thus obtaining the final
score for the COVER vector. Continuing our
previous example concerning the concept bomb, the
average abstractness score of its dimension values
is mostly low. Specifically, the “bomb” vector in
COVER contains, for instance, “bombshell” (with
a score of 0:0), “war” (with a score of 1:0) and
“explosive material” (with a score of 0:0). The
average of bomb’s values is 0:2245 and thus the
final, smoothed abstractness score for bomb is set
to 0:112.
3.2</p>
      </sec>
      <sec id="sec-4-2">
        <title>Annotation of Verbs</title>
        <p>
          COVER does not include a conceptual
representation for verbs: only nouns are present herein, and
this is currently an active line of research aiming
at ameliorating the resource. However, in order
to build practical applications, we needed to be
able to also characterise verb abstractness
          <xref ref-type="bibr" rid="ref21 ref22 ref23 ref7">(Mensa
et al., 2018b)</xref>
          . In this work we do not aim at
extending COVER with verbs representations, but
rather to see if the nouns in ABS-COVER can be
4Featured by the WordNet synset ID wn:02866578n.
5We presently consider the following dimensions:
RELATEDTO, FORMOF, ISA, SYNONYM, DERIVEDFROM,
SIMILARTO and ATLOCATION.
exploited in order to compute verb abstractness.
        </p>
        <p>We start by representing the meaning of verbs
in terms of their argument distribution, which is
common practice in NLP. We followed this
intuition: abstract senses are expected to have more
abstract dependents than concrete ones. For
example, let us consider the verb drop. To drop may
be —concretely— intended as “to fall vertically”.
In this case, it takes concrete nouns as dependents,
such as, e.g., in “the bombs are dropping on
enemy targets”. In a more abstract meaning to drop
is “to stop pursuing or acting”: in this case its
dependents are more abstract nouns, such as, e.g.,
in “to drop a lawsuit”. Although some
counterexamples may also be provided, we found that this
assumption holds in most cases.</p>
        <p>
          We retrieved the 1; 000 most common verbs
from the Corpus of Contemporary American
English, which is a corpus covering different
genres, such as spoken language, fiction, magazines,
newspaper, academic.6 In order to collect
statistics on the argument structure of the considered
verbs, we then sampled 3; 000 occurrences of such
verbs in the WaCkypedia EN corpus, a 2009 dump
of the English Wikipedia, containing about 800
million tokens, tagged with POS, lemma and full
dependency parsing
          <xref ref-type="bibr" rid="ref1">(Baroni et al., 2009)</xref>
          .7 All
trees containing the verbs along with their
dependencies were collected, and such sentences have
been passed to the Babelfy API for
disambiguation. We retained all verb senses with at least 5
dependents that are present in COVER. The
abstractness score of each sense has been computed
by averaging the abstractness scores of all its
dependents.
4
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Evaluation</title>
      <p>
        In order to assess the computed abstractness scores
we make use of the Brysbaert Dataset, which is
to date the largest corpus of English terms
annotated with abstractness scores. It has been acquired
through crowdsourcing, and it contains 39; 945
annotated terms
        <xref ref-type="bibr" rid="ref5">(Brysbaert et al., 2014)</xref>
        . One chief
issue clearly stems from the fact that the human
abstractness ratings are referred to terms rather
than to senses, which may bias the results of
comparisons between the figures used as a ground truth
values and the abstractness scores computed by
6http://corpus.byu.edu/full-text/.
7http://wacky.sslmit.unibo.it/doku.
php?id=corpora.
      </p>
      <p>
        MaxAbs
0:4163
0:4037
our system. This issue has been experimentally
explored in
        <xref ref-type="bibr" rid="ref21 ref22 ref23 ref7">(Mensa et al., 2018a)</xref>
        , where different
selectional schemes have been tested to pick up a
sense from those associated to a given term. The
best results, in terms of both Pearson r correlation
and of Spearman correlation with human ratings,
have been reached by choosing a ‘best’ sense for
the term t based on the distribution of the senses
associated to t in the SemCor corpus
        <xref ref-type="bibr" rid="ref25">(Miller et
al., 1993)</xref>
        . Specifically, the correlations between
the abstractness scores in ABS-COVER and the
human ratings in the Brysbaert Dataset amount to
r = 0:653 and to = 0:639.
      </p>
      <p>We presently compare the human ratings
contained in the Brysbaert corpus and the abstractness
score associated to one verb sense
(corresponding to each lexical entry in the dataset), as
computed by our system. We report the correlation
scores obtained by selecting the senses based on
four strategies:
1. the sense with highest abstractness
(Max</p>
      <p>Abs);
2. the sense with lowest abstractness (MinAbs);
3. the sense with the highest number of
dependents (MaxDep);
4. the sense returned as the best sense through
the BabelNet API (BestSns).</p>
      <p>The obtained results are reported in Table 1. The
differences in the scores reported in Table 1
provide tangible evidence that the problem of
selecting the correct sense for a verb is a crucial
one. E.g., if we consider the verb ‘eat’, the
sense described as “Cause to deteriorate due to
the action of water, air, or an acid (example: The
acid corroded the metal)” and the sense described
as “Worry or cause anxiety in a persistent way
(What’s eating you?)” exhibit fully different
abstractness characterisation. In order to decouple
the assessment of the abstractness scores from that
of the sense selection, we randomly selected 400
verbs, and manually associated them with an a
priori reasonable sense,8 annotated through the
cor8Disambiguation proper would require to select a sense in
accordance with a given context.
choosing the main sense for 400 verbs (column
FULL-400), and correlation scores obtained by
removing from the FULL-400 verbs those with
abstractness</p>
      <p>:1 (column #1 pruning).
responding BabelNet Synset Id. This annotation
process is definitely an arbitrary one (only one
annotator, thus no inter annotator agreement was
recorded, etc.), and it should be considered as an
approximation to the senses underlying the human
ratings available in the Brysbaert corpus. The
correlation scores significantly raise, as illustrated in
the first column of Table 2, thus confirming the
centrality of the sense selection step.</p>
      <p>Furthermore, we observed that most
mismatches in the computation of the abstractness
scores occur when the verb is featured by very low
(lower than 0:1) abstractness score. To
corroborate such intuition, we have then pruned from our
data set the verbs whose annotated score is lower
than a threshold #1 = 0:1, finally yielding 383
verbs. In this experimental setting we obtained
higher correlation scores, thereby confirming that
the computation of more concrete entities needs to
be improved, as illustrated in the second column
of Table 2.
5</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>In this paper we have introduced a method to
compute verbs abstractness based on the
ABSCOVER lexical resource. We reported on the
experimentation, and discussed the obtained results,
pointing out some issues such as the problem of
the sense selection, and the difficulty in
characterising more concrete concepts.</p>
      <p>
        As regards as future work, the simple
averaging scheme on dependents’ abstractness scores can
be refined in many ways, e.g., by
differentiating the contribution of different sorts of
dependents, or based on their distribution. Yet, the set
of relations that constitute the backbone of
ABSCOVER can be further exploited both for
computing the abstractness of dependents, and, in the
long term, for generating explanations about the
obtained abstractness scores, in virtue of the set of
relations at the base of the explanatory power of
COVER
        <xref ref-type="bibr" rid="ref7">(Colla et al., 2018)</xref>
        . Finally, we plan to
explore whether and to what extent our lexical
resource can be combined with distributional
models, in order to pair those strong associative
features with the more semantically structured space
described by ABS-COVER.
      </p>
    </sec>
  </body>
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