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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Tracing metaphors in time through self-distance in vector spaces</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Marco Del Tredici Malvina Nissim Andrea Zaninello</string-name>
          <email>azaninello@zanichelli.it</email>
          <email>m.nissim@rug.nl</email>
          <email>marcodeltredici@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>ILLC, Univ. of Amsterdam CLCG, Univ. of Groningen Zanichelli editore Amsterdam</institution>
          ,
          <addr-line>The Netherlands Groningen</addr-line>
          ,
          <country>The</country>
          <addr-line>Netherlands Bologna</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>English. From a diachronic corpus of Italian, we build consecutive vector spaces in time and use them to compare a term's cosine similarity to itself in different time spans. We assume that a drop in similarity might be related to the emergence of a metaphorical sense at a given time. Similarity-based observations are matched to the actual year when a figurative meaning was documented in a reference dictionary and through manual inspection of corpus occurrences.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        (1)
(2)
(lit.) l’operazione [...] ha permesso di
arrestare un talebano esperto in esplosivi
(fig.) [...] senza l’atteso top player, e di un
allenatore talebano della tattica
If the metaphorical meaning becomes commonly
used, it might get recorded in reference dictionaries,
too. Indeed, for the case of “talebano” the Italian
dictionary Zingarelli
        <xref ref-type="bibr" rid="ref21">(Zingarelli, 1993–2017)</xref>
        has
recorded the metaphorical extension (“che (o chi)
e` dogmatico, integralista”) in the year 2009, while
until then only the literal meaning was included.
      </p>
      <p>
        Most of the computational work on metaphors
has focused on their identification and
interpretation using a variety of techniques and models, such
as clustering
        <xref ref-type="bibr" rid="ref11 ref14">(Shutova and Sun, 2013)</xref>
        , LDA topic
modeling
        <xref ref-type="bibr" rid="ref6">(Heintz et al., 2013)</xref>
        , tree kernels
        <xref ref-type="bibr" rid="ref7">(Hovy
et al., 2013)</xref>
        , but all from a purely synchronic
perspective.2 The way metaphors develop across time,
instead, and whether the shift of a word’s literal
meaning to a figurative one can be automatically
detected and modelled is as of now a little
investigated aspect.
      </p>
      <p>As a contribution in this sense, we build on the
basic observation that if a metaphorical meaning
is acquired by a term at a certain point in time, the
context of use of that term will, at least partially,
change. In this paper we offer a proof of concept
of this assumption, based on a selection of terms.
(Dis)similarity of contexts is measured relying on
the distributional semantics approach, and thus on
the terms’ vector representations, and the existence
of a metaphoric shift is derived from the Zingarelli
dictionary of Italian.</p>
      <p>1All of the examples in this paper are from the newspaper
la Repubblica, see Section 4.2.</p>
      <p>
        2For a detailed survey on current NLP systems for
metaphor modeling see
        <xref ref-type="bibr" rid="ref15">(Shutova, 2015)</xref>
        .
      </p>
    </sec>
    <sec id="sec-2">
      <title>Approach</title>
      <p>
        According to the principle of distributional
semantics, the meaning of a word is represented by
vectors that encode the contextual information of that
word in a corpus
        <xref ref-type="bibr" rid="ref16">(Turney et al., 2010)</xref>
        . All vectors
representing words are included in a distributional
semantic space in which similar words are
represented by vectors that are close in that space, while
different words are distant.
      </p>
      <p>We rely on the intuition that if a term develops
a metaphoric sense, its contexts of occurrence will
start to differ, at least partially, from those observed
for the very same term at the time the metaphorical
meaning had not emerged yet. This implies that
detecting a distance in space across time could be
indicative of a meaning shift. Hence, instead of
comparing different terms synchronically, we focus
on their self-distance across time, thus tracing their
diachronic evolution of meaning.</p>
      <p>Practically, we train vector representations of
words in consecutive time spans, and compare such
representations to one another, for a set of pilot
terms. As a default, a term is expected to exhibit
a vector representation roughly similar to itself
across time. If we observe a drop in similarity
between vectors in consecutive spaces, we can
hypothesise the emergence of a new sense for this
term, potentially metaphoric.</p>
      <p>By using the information recorded for the
selected terms in a reference dictionary for the Italian
language, we observe whether there is some
correspondence between the observed similarity drop,
if present, and the time of inclusion of a figurative
sense. Finally, for each year cluster, we manually
inspect the occurrences of our target terms in order
to see if changes of use can be observed.</p>
      <p>We are aware of the fact that changes in distance
of a word to itself across time might be triggered by
phenomena other than the rise of a metaphoric shift.
Indeed, especially for polysemous words,
extralinguistic factors could cause the dominance of one
sense over the others at a given time. In a
largerscale, bottom-up approach to detect metaphorical
shifts, this would need to be properly accounted for.
In the context of this proof-of-concept, we control
for this factor by choosing words that are not or are
minimally polysemous (see Section 4.1).
3</p>
    </sec>
    <sec id="sec-3">
      <title>Related Work</title>
      <p>
        The automatic modelling of diachronic shift of
meaning has been investigated employing several
different techniques. Among these, most recently,
Latent Semantic Analysis
        <xref ref-type="bibr" rid="ref1 ref13 ref8">(Sagi et al., 2011;
Jatowt and Duh, 2014)</xref>
        , topic clustering
        <xref ref-type="bibr" rid="ref13 ref18 ref4">(Wijaya and
Yeniterzi, 2011)</xref>
        and dynamic topic modeling
        <xref ref-type="bibr" rid="ref2 ref5">(Frermann and Lapata, 2016)</xref>
        . Vector representations
for diachronic shift of meaning have been used
by Gulordava and Baroni (2011), with a simple
cooccurence matrix of target words and context terms.
Jatowt and Duh (2014) and Xu and Kemp (2015)
experimented both with a bag-of-words approach
and a more linguistically motivated representation
that also captures the relative position of lexical
items in relation to the target word.
      </p>
      <p>
        Recently, Word Embeddings (Mikolov and Dean
(2013), see also Section 4.3) have been used to
investigate diachronic meaning shifts: vectors are
usually created independently for each time span
and then mapped from one year to another via a
transformation matrix, thus leveraging the
stability of the relative positions of vectors in different
spaces
        <xref ref-type="bibr" rid="ref10 ref10 ref20 ref5">(Kulkarni et al., 2015; Zhang et al., 2015;
Hamilton et al., 2016)</xref>
        .
      </p>
      <p>An alternative approach, which we also adopt –
with a slight change – in our work, is introduced
by Kim et al. (2014), who propose a simple but
effective methodology to make vectors trained on
different corpora directly comparable: embeddings
created for year y are used to initialise the vectors
for year y + 1. The process is progressively applied
to all time spans.
4</p>
    </sec>
    <sec id="sec-4">
      <title>Experiment</title>
      <p>
        Following the approach described in Section 2, we
selected a small set of pilot terms from a
lexicographic reference, and observed their space
development across time, on a diachronic corpus for
Italian that we collected for this purpose. Due to
the absence of datasets in which words are
annotated for meaning change, a qualitative analysis of
a set of hand-selected words like the one we
propose has established itself as a common evaluation
method in previous work on diachronic meaning
change
        <xref ref-type="bibr" rid="ref2 ref5">(Frermann and Lapata, 2016)</xref>
        .
4.1
      </p>
      <sec id="sec-4-1">
        <title>Lexicographic reference and term selection</title>
        <p>The Zingarelli dictionary is a reference dictionary
for the Italian language, updated and published
every year, both in digital and paper version. The
dictionary is traditionally dated one year ahead of
the year it is published, hence the Zingarelli 2017
literal figurative
implosion cedimento, tracollo improvviso (collapse)
kamikaze chi compie un’impresa rischiosa o destinata al
fallimento (daredevil, reckless)
dismantler nel linguaggio giornalistico e della politica,
chi si propone di allontanare e sostituire un
gruppo dirigente considerato antiquato (new
broom)
Taliban che (o chi) e` dogmatico, integralista
(hardliner, extremist)
tsunami evento che determina lo sconvolgimento di un
assetto costituito (devastation, havoc)
is published in June 2016, and it refers to decisions
about new words and new meanings (including
metaphorical ones) made up until December 2015.</p>
        <p>We analysed the behaviour of a small set of terms
extracted from the dictionary. We searched the
2017 edition to extract nouns that record a
figurative meaning, limiting our search to words whose
first occurrence is recorded in the 20th or 21st
century. Newly born words (including borrowings) are
more likely to show a meaning shift in the time
span considered in our search (1984-2015) than
older words (especially if derived directly form
Latin, where the figurative meaning was also
originally highly available, so probably arisen earlier).
Out of a total of 447 hits, five target words were
chosen for this pilot study. They are reported in
Table 1 together with relevant information.</p>
        <p>In order to minimise (at least in the context of
this experiment) the influence of polysemy in the
observable similarity distance across years, we
verified that the selected terms are not polysemous,
or minimally so. For the words “rottamatore”,
“talebano”, and “tsunami”, the Zingarelli records
one sense only. For the word “implosione” three
senses in total are recorded, two of which are
however technical language, in the fields of linguistics
(phonology) and psychology, and we assume will
not be used much in newswire. For “kamikaze”
the Zingarelli records one meaning only (Japanese
pilot) to which is associated the extended sense of
someone who kills himself in a terrorist attack; in
our corpus the extended meaning is clearly the
primary one, and the figurative sense that we consider
is derived from it (see also Section 4.4).
4.2</p>
      </sec>
      <sec id="sec-4-2">
        <title>Corpus</title>
        <p>
          We created a diachronic corpus of approximately
60 millions tokens by collecting articles from the
Italian newspaper la Repubblica from 1984 (the
first year for which data is available digitall
          <xref ref-type="bibr" rid="ref19">y) to
2015</xref>
          . All texts were tokenised and lowercased.
Because we are interested in how a term’s context
changes over time, we had to determine time-spans
for our corpus, and we settled on two-year blocks,
for a total of 16 time spans, the first one being
19841985 and the last 2014-2015. These subcorpora are
used to train consecutive vector space models.
4.3
        </p>
      </sec>
      <sec id="sec-4-3">
        <title>Model</title>
        <p>
          We implemented vector representations using the
skip-gram architecture introduced by Mikolov and
Dean (2013). Such representations (Word
Embeddings) are low dimensional, dense and real-valued
vectors that have been proved to preserve
syntactic and semantic information in several NLP tasks
          <xref ref-type="bibr" rid="ref1">(Baroni et al., 2014)</xref>
          .
        </p>
        <p>
          Vectors created on different corpora cannot be
directly compared, since every semantic space
implements arbitrary orthogonal transformations and
hence there is no direct correspondence between
word vectors in different semantic spaces
          <xref ref-type="bibr" rid="ref10 ref20">(Zhang
et al., 2015)</xref>
          . This would hold true also for our data,
since we create a different corpus for each time
span. Therefore, in order to create comparable
vector representations for each word in any time span,
we adopt the methodology introduced by Kim et al.
(2014) (see Section 3), slightly modifying it. While
Kim et al. (2014) use vectors of span y to initialise
the vectors for year y + 1, we do the opposite, i.e.
we start with 2014-15, and use those vectors to
initialise the 2012-13 time span, and thus backwards
until 1984-85.
        </p>
        <p>This methodological choice is due to the fact
that the majority of the words in the set we
considered for this experiment (included the selected
target words, see 4.1) have few or no occurrences
in the first time spans of the corpus: for example,
“rottamatore” and “talebano” occur for the first time
in 96/97. Indeed, using Kim et al. (2014)’s original
approach, which we implemented in a preliminary
experiment, the vectors for these words were
correctly initialised, but were basically random vectors
with no meaningful information. Conversely, our
reverse setting, while still offering the same
opportunity to trace shifts of meaning across time, allows
to initialise all target words on a time span (14/15)
in which they occur a number of times sufficient to
create a more stable, meaningful representation.</p>
        <p>
          Using the gensim library
          <xref ref-type="bibr" rid="ref12">( Rˇehu˚ˇrek and Sojka,
2010)</xref>
          , we trained the models with the following
parameters: window size of 5, learning rate of 0.01
and dimensionality of 200. We filtered out words
with frequency lower than 5 occurrences. The
vocabulary was initialised over the whole dataset.
4.4
        </p>
      </sec>
      <sec id="sec-4-4">
        <title>Results and discussion</title>
        <p>Figure 1 shows the similarity values for one time
span to the next (dotted line), together with the
average shift of meaning of a subset of 5000 nouns
randomly selected (solid line). While we cannot
draw any statistically significant conclusions from
such little data, we aim at potentially observing
patterns of shift of meaning through change of vector
representations that could be used for developing
predictive metrics of metaphorical shifts in time.</p>
        <p>We interpret the results of our models according
to (i) information in the Zingarelli dictionary and
(ii) a manual inspection of the context of use of our
target words in the corpus.</p>
        <p>For (i), we verify if, for a given term, an
observable correlation exists between changes in its
vector representations and the insertion of a
figurative sense in the dictionary. Results show that such
a correlation exists for “talebano”, “rottamatore”,
and “tsunami”. For these words a drop in cosine
similarity can be observed between three and five
years before the insertion of the figurative meaning
in the dictionary. This fits well with the timing
for new meanings to be recorded in lexicographic
resources (see Section 4.1). The nouns “kamikaze”
and “implosione”, instead, show a more stable
evolution of meaning in time, with no clear drop in
cosine similarity, and thus no evident correlation
between changes in vector representations and
insertion of a figurative meaning in dictionary.</p>
        <p>For (ii), we manually inspected the contexts in
which target terms occur in the the corpus as literal
or metaphoric, in order to check if some relevant
change in words usage could be observed in
correspondence to drops in cosine similarity between
time spans.</p>
        <p>“Tsunami” occurs 27 times between 84/85 and
02/03: in 88.9% of the cases the word is used
literally, with only 3 metaphorical uses in 98/99
(mirrored in a slight drop in cosine similarity). Of the
930 occurrences from 04/05 to 14/15, only 59.1%
are literal. In Figure 1 we can observe a major
drop in cosine similarity exactly between 04/05
and 06/06.</p>
        <p>“Rottamatore” occurs 4 times between 84/85 and
08/09, always used literally. From 10/11 on, there
are 156 occurrences, all metaphorical. Thus, the
drop corresponds to change in usage here too.</p>
        <p>“Talebano” occurs 12 times between 84/85 and
02/03, with 83.3% of literal usage. Once again,
the drop in cosine coincides with the time span in
which the term started to be used metaphorically:
between 02/03 and 08/09 40% of the occurrences of
“talebano” are metaphorical. Then, another relevant
drop is observed between 08/09 and 10/11, and
this is due to the sudden return of the literal usage
of this word (86.1%), which continues also in the
following years.</p>
        <p>As already noticed, “kamikaze” and
“implosione” do not seem to undergo a clear shift. As
for the former, the analysis of its contexts of use
reveals that indeed it is not possible to clearly
identify, in our corpus, when exactly the term started to
be used metaphorically: of the 25 occurrences of
“kamikaze” in 84/85, 32% are metaphorical. This
trend is fairly constant, and it explains why the
vector representation of “kamikaze”, which from the
very beginning conflates literal and metaphorical
usages, is stable in time. There is only a relevant
change starting from 10/11: from this period
onwards, the metaphorical use decreases, and almost
all the occurrences are literal.3 Accordingly, this
3Interestingly, this increase of literal usage is observed in
the same years also for “talebano”, a term that is semantically
related to “kamikaze”. This observation would require further
investigation in connection with the socio-political events of
those time spans.
almost exclusively return to the literal meaning
corresponds to a slight increase in cosine similarity
between the two last time spans.</p>
        <p>“Implosione” occurs 433 times overall and in
92.4% of them is used metaphorically, but in few
and specific contexts. A metaphorical, quite
specific, sense of “implosione” is thus the main sense
for this term in our corpus, and this is why we
observe, on average, a high similarity across time
spans. There is only a small drop between 10/11
and 12/13, when the word started to be used in
the context of the economical crisis (“l’implosione
dell’euro”).</p>
        <p>To sum up, both “kamikaze” and “implosione”
show a similar stable behaviour in time, with only
small drops. However, while for “kamikaze” such
stability is due to a relatively constant ratio between
literal and metaphorical meanings, in the case of
“implosione” the observed stability is given by the
constant predominance of the metaphorical sense
across all the time spans.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion and future work</title>
      <p>This work was meant as an exploration of the
assumption that the emergence of the metaphorical
use of a term might be mirrored in changes in
cosine similarity of the term to itself across time.
Such assumption has been partially confirmed by
the comparison to the Zingarelli dictionary, while
we found a more robust evidence when inspecting
the terms’ contexts of use manually.</p>
      <p>Future work will stem from methodology and
observations discussed here. Specifically, we plan
to investigate further several aspects of this initial
work, including the relation between changes in
cosine similarity and frequency of use of a word: to
which extent a change of the former relates to an
increase of the latter? Mostly though, we plan to run
experiments on larger sets of words with the aim
to consolidate and then further exploit the mainly
qualitative observations reported here towards the
development of reliable predictive metrics which
can serve to detect the emergence of shifts
automatically, in a completely bottom-up fashion.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>Malvina Nissim would like to thank the ILC-CNR
ItaliaNLP Lab for their hospitality while working
on this project. We are also grateful to the
anonymous reviewers who provided insightful comments
that doubtlessly contributed to improve this paper.</p>
    </sec>
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