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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>MIL: Automatic Metaphor Identification by Statistical Learning</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yosef Ben Shlomo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mark Last</string-name>
          <email>mlast@bgu.ac.il</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Information Systems Engineering Ben-Gurion University of the Negev Beer-Sheva 84105</institution>
          ,
          <country country="IL">Israel</country>
        </aff>
      </contrib-group>
      <fpage>19</fpage>
      <lpage>29</lpage>
      <abstract>
        <p>Metaphor identification in text is an open problem in natural language processing. In this paper, we present a new, supervised learning approach called MIL (Metaphor Identification by Learning), for identifying three major types of metaphoric expressions without using any knowledge resources or handcrafted rules. We derive a set of statistical features from a corpus representing a given domain (e.g., news articles published by Reuters). We also use an annotated set of sentences, which contain candidate expressions labelled as 'metaphoric' or 'literal' by native English speakers. Then we induce a metaphor identification model for each expression type by applying a classification algorithm to the set of annotated expressions. The proposed approach is evaluated on a set of annotated sentences extracted from a corpus of Reuters articles. We show a significant improvement vs. a state-of-the-art learning-based algorithm and comparable results to a recently presented rule-based approach.</p>
      </abstract>
      <kwd-group>
        <kwd>Metaphor Identification</kwd>
        <kwd>Natural Language Processing</kwd>
        <kwd>Supervised Learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        E-mail:
A metaphor is defined in previous works
        <xref ref-type="bibr" rid="ref1">(such as Krishnakumaran &amp; Zhu, 2007)</xref>
        as the
use of terms related to one concept in order to describe a term, which is related to a
different concept. For example, in the metaphoric expression “fertile imagination”, the
word “imagination”, which is related to the concept / domain “cognition”, is described
by the word “fertile”, which is usually related to the concept / domain, “land / soil”.
Metaphor identification can be useful in numerous applications that require
understanding of the natural language such as machine translation, information extraction, and
automatic text summarization. For example, the word “жесткая” in Russian may have
a metaphorical meaning of “tough” when applied to the word “политика” (policy) or a
literal meaning of “hard” when applied to the word “кровать” (bed).
      </p>
      <p>
        Metaphoric expressions have a variety of syntactic structures. In this paper, we focus
on three major types of syntactic structures discussed in the work of
        <xref ref-type="bibr" rid="ref1">(Krishnakumaran
and Zhu, 2007)</xref>
        . In type 1 expression, a subject noun is related to an object noun by a
form of the copula verb “to be” (e.g., “God is a father”). In type 2 expression, the subject
noun is associated with a metaphorically used verb and an object noun (e.g., “The actor
painted his relationship with…”). Type 3 expression is an adjective-noun phrase (e.g.,
“sweet child”). An expression of one of the three structures above may or may not be
a metaphor. Therefore, in this paper we treat the problem of metaphor identification as
a binary classification problem of labelling a given expression as metaphoric or literal.
The first step in our method is choosing a corpus representative of a given domain and
building an annotated data set of labelled expressions from that corpus. The second step
is feature extraction from the domain corpus, which is the main subject of our work.
Then we induce a classification model for each expression type, using a set of annotated
sentences, and evaluate its accuracy on a hold-out set.
      </p>
      <p>This paper is organized as follows. Section 2 covers the state-of-the-art approaches
to automated metaphor detection. Section 3 presents MIL (Metaphor Identification by
Learning), a novel algorithm for metaphor detection. The proposed algorithm is
empirically evaluated in Section 4. In Section 5, we conclude the paper with some insights
and directions for future research.
2</p>
      <p>
        Related Work
The work
        <xref ref-type="bibr" rid="ref2">(Birke &amp; Sarkar, 2006)</xref>
        focused on classifying the uses of verbs in a sentence
as either literal or non-literal (type 2 expressions). They adopted the work of
        <xref ref-type="bibr" rid="ref9">(Karov &amp;
Edelman, 1998)</xref>
        , who worked on word sense disambiguation of words within their
contexts (i.e., sentences).
      </p>
      <p>
        <xref ref-type="bibr" rid="ref1">Krishnakumaran &amp; Zhu (2007)</xref>
        suggested three algorithms for distinguishing
between live and dead metaphors. A dead metaphor is a metaphor that is already
assimilated and familiar in the spoken language (e.g., “fell in love”) and a live metaphor is a
less familiar metaphor, which is not yet assimilated. The methodology of
Krishnakumaran &amp; Zhu 2007’s work is based on conditional probabilities combined with
WordNet
        <xref ref-type="bibr" rid="ref6">(Fellbaum, 1999)</xref>
        , which represents the language ontology.
      </p>
      <p>
        The authors of
        <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
        present three rule-based algorithms for
metaphor identification in three expression types (1, 2, and 3). They suggest identifying
metaphors by negating literalness. They define a set of rules for detecting whether a
particular expression is literal, and if it is not literal, it is assumed to be a metaphor.
Following the work of
        <xref ref-type="bibr" rid="ref16">Turney, et al. (2011)</xref>
        , they define as literal an expression
comprised of words (e.g., verb and noun), which have in common at least one concrete
category. Examples of concrete categories include physical objects, like “table”, or
body parts, like “hair”. The ruleset defined by
        <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
        builds upon
multiple knowledge resources (such as Wiktionary and WordNet).
      </p>
      <p>
        The work of
        <xref ref-type="bibr" rid="ref13">(Shutova, et al. 2010)</xref>
        focuses on semi-supervised learning for
identification of type 2 metaphors. The metaphor identification process is based on the
principle of clustering by association, i.e., the clustering of words by their associative
language neighborhood using the verb’s subject as an anchor. A domain-independent
approach to type 2 metaphor identification is presented in
        <xref ref-type="bibr" rid="ref12">(Shutova, et al., 2013)</xref>
        . The
authors report a high precision of 0.79, but no information about the system recall and
F-measure is provided.
      </p>
      <p>
        <xref ref-type="bibr" rid="ref16">Turney, et al. (2011)</xref>
        provide a solution for the type 3 metaphor classification
problem called the Concrete-Abstract algorithm. In contrast to previous works that treated
this issue as a sub-problem of the Word Sense Disambiguation problem,
        <xref ref-type="bibr" rid="ref16">Turney, et al.
(2011)</xref>
        suggest identifying metaphors by considering the abstractness level of words in
a given expression. They found that in a wide range of type 3 metaphoric expressions,
nouns tend to be abstractive while adjectives tend to be concrete. Their methodology
builds upon a unique algorithm for ranking the abstractness level of a given word by
comparing it to 20 abstract words and 20 concrete words that are used as paradigms of
abstractness and concreteness. The main limitation of this approach is that it uses a
single feature (abstractness level) that covers a limited range of expressions. The
classification model used by
        <xref ref-type="bibr" rid="ref16">Turney, et al. (2011)</xref>
        is logistic regression.
      </p>
      <p>
        The authors of
        <xref ref-type="bibr" rid="ref8">(Hovy, et al., 2013)</xref>
        use SVMs with tree kernels for supervised
metaphor classification based on a vector representation of the semantic aspects of each
word and different tree representations of each sentence. They report the best F1
measure of 0.75 without specifying the distribution of metaphor types in their dataset. Very
similar results (F-measure = 0.76 for English) are reported for type 2 and type 3
expressions by
        <xref ref-type="bibr" rid="ref14">(Tsvetkov, et al., 2014)</xref>
        who use three categories of features: 1) abstractness
and imageability, (2) word supersenses (extracted from WordNet), and (3)
unsupervised vector-space word representations. Using translation dictionaries, the authors
apply a trained English model to three other languages (Spanish, Russian, and Farsi). The
English dataset used by
        <xref ref-type="bibr" rid="ref14">(Tsvetkov, et al., 2014)</xref>
        included 3,737 annotated sentences
from the Wall Street Journal domain.
3
3.1
      </p>
      <p>MIL (Metaphor Identification by Learning)</p>
      <p>Overview
The first step in our proposed methodology is choosing a domain corpus, which
represents a particular domain (area) of text documents (e.g., Reuter’s news articles). The
next step is the extraction of candidate expressions that satisfy one of the three syntactic
structures discussed above (types 1, 2, and 3). This can be done using existing natural
language processing tools. We also use the domain corpus to construct a word-context
matrix to be used in the feature extraction phase. Then we manually annotate a selected
subset of candidate expressions, since in a large corpus, it is not feasible to annotate
them all. Each selected expression is labeled as ‘literal’ or metaphoric’ by native
language speakers.</p>
      <p>Then we perform feature extraction, the largest and most important task in our work.
The goal of feature extraction is to compute statistical features that may differentiate
between metaphor and literal expressions. After the feature extraction is complete, a
feature selection process must be carried out for choosing the features that are most
relevant to the classification task.</p>
      <p>The next step is inducing a classification model by running a supervised learning
algorithm (e.g., C4.5). The model is built separately for each syntactic type. The
resulting classification model can be used for classification of new expressions as literal
or metaphoric. The model performance can be evaluated by such measures as precision
and recall using cross-validation.
3.2</p>
    </sec>
    <sec id="sec-2">
      <title>Domain Corpus Pre-processing</title>
      <p>
        The basic actions on a domain corpus are parsing the corpus into sentences,
tokenization, stemming the tokens by the Porter Stemmer algorithm (Porter, 1980), removing
stopwords, and then calculating the frequency of each token. Then we build a
co-occurrence matrix for words with frequency of 100 and higher
        <xref ref-type="bibr" rid="ref16">(like in Turney et al.,
2011)</xref>
        . The co-occurrence matrix is used for calculating the abstractness level of a given
word. The idea behind this matrix is that the co-occurring words are more likely to
share an identical concept. We denote the co-occurrence matrix by F. Then we
calculate the Positive Pointwise Mutual Information (PPMI) of F. The purpose of PPMI is
to prevent the bias that can be caused by highly frequent words. We calculate PPMI as
described in
        <xref ref-type="bibr" rid="ref15">(Turney and Pantel, 2010)</xref>
        and get a new matrix denoted as X.
      </p>
      <p>
        The X matrix is smoothed with truncated Singular Value Decomposition (SVD)
        <xref ref-type="bibr" rid="ref5">(Deerwester, et al., 1990)</xref>
        , which decomposes X into a multiplication of three matrices
X ≈ UkSkVT. The matrix   represents the left singular vectors, the matrix   is a
diagk
onal matrix of the singular values and the matrix    represents the right singular
vectors. The idea behind using SVD is that a conceptual relation between two words can
be indicated by a third word called a “latent factor” (e.g., the relation between soccer
and basketball can be established by the word sport even if that word does not occur in
text).
      </p>
      <p>
        SVD calculation has two parameters. The first one is k, which represents the number
of latent factors. We manually calibrated k starting from the value of 1000 as used in
the work of
        <xref ref-type="bibr" rid="ref16">(Turney, et al., 2011)</xref>
        and reduced it by 100 at each iteration in order to
reduce the running time (more latent factors means longer running time), without
decreasing the quality of results. We stopped when there was a substantial decrease in the
results accuracy. In this manner, we have set the best value of k to 300. The other
parameter is p, which adjusts the weights of the latent factors as in
        <xref ref-type="bibr" rid="ref3">(Caron, 2001)</xref>
        . We
adopted its value from the work of
        <xref ref-type="bibr" rid="ref16">(Turney, et al., 2011)</xref>
        and set it to 0.5. The second
matrix we use is the multiplication of
      </p>
      <p>
        mantic similarity of two words as a cosine similarity of two matrix rows
        <xref ref-type="bibr" rid="ref15">(Turney and
 . We use this matrix for computing the
sePantel, 2010)</xref>
        . We annotate        as matA and   
  as matB.
      </p>
      <p>Finally, we represent each of the corpus documents by calculating the average vector
of the frequent words the document contains. The idea behind that is that in our view,
each document represents some concept of its own and it can contribute to the
identification of the concept transition.
3.3</p>
    </sec>
    <sec id="sec-3">
      <title>Feature Extraction</title>
      <p>The proposed feature set contains four types of features: features, which apply to every
single word in a candidate expression (two features for type 1 and type 3 expressions,
three features for type 2), features, which apply to every word pair in a candidate
expression (one feature for type 1 and 3, three features for type 2), features, which apply
to the sentence containing the candidate expression, and features, which apply to the
candidate expression itself.</p>
      <p>
        The first set of statistical-based features builds upon the idea of concrete-abstract
mapping
        <xref ref-type="bibr" rid="ref16">(Turney et al., 2011)</xref>
        . They present a measure of the abstractness level, which
can be calculated for each word in a candidate expression. We are using this measure
to define the following features:
20
∑ 
where word is a semantic vector of the target word, abstract paradigm is a semantic
vector of a very abstractive word (e.g., sense), concrete paradigm is a vector of a very
concrete word (e.g., donut) and  is the Pearson correlation. The abstract scale rank
is normalized between zero and one. The semantic vectors are taken from a
pre-processed matrix based on words’ co-occurrences. The full list of 20 abstract paradigm
words and 20 concrete paradigm words is given in
        <xref ref-type="bibr" rid="ref16">(Turney et al., 2011)</xref>
        . This feature is
applied to every word in a given expression.
      </p>
      <p>Abstract Scale difference. The absolute difference between the abstractness levels
of every two words in an expression.</p>
      <p>Abstract Scale Average / Variance. The average / variance of the abstractness levels
of all frequent words in the sentence that contains the candidate expression.
We also define a set of statistical-based features that can indicate a conceptual mapping
between different word categories. These features include word-level features,
document-level features, and domain-level features. Word-level features are features which
are associated with the semantic meaning of a given word. Document-level features are
features which are associated with the entire document’s meaning (document which
contains the expression) and domain-level features are features, which are associated
with the entire domain corpus. The statistical-based features are defined below:
Word-level features</p>
      <p>Semantic Relation. The semantic relation value between every two words in a given
expression. This value is taken from the associated entry of this words pair in the
pre-processed matA (the large NxN matrix). Low values are an indication for low
semantic relation between two words and thus imply metaphoric behavior (the
conceptual mapping definition) and vice versa.</p>
      <p>Semantic Relation Average / Variance. The average / variance of the semantic
relation values between every two words in the sentence that contains the candidate
expression (including the expression itself).
Cosine-similarity. The cosine similarity between every two words in a given
expression. The cosine similarity is between the two vectors associated with the given
words pair, taken from the pre-processed matB (the low dimensionality matrix). Low
values indicate low conceptual relation between two words and thus imply
metaphoric behavior.</p>
      <p>Cosine-similarity Average / Variance. The average / variance of the cosine similarity
between every two words in a given expression. Low values indicate low conceptual
relation between two words and thus imply metaphoric behavior.</p>
      <p>First k Words. For each two words in a given expression, we first find the k most
similar words to the noun (if both words are nouns then the subject noun is selected).
We then calculate the average cosine similarity of the second word to those k words
and use it as a feature. A similarity between two words is computed as the cosine
similarity of their associated vectors in matB. The value k = 30 was chosen based
on the quality of classification results.</p>
      <sec id="sec-3-1">
        <title>Document-level features</title>
        <p>First k Documents. Same as First k Words, based on document vectors rather than
word vectors. Considering a document as a topic/s oriented, its representation by its
word vectors average is actually the semantic representation of its topic/s. Here we
also set k to 30 after manual calibration considering the results quality (F-measure).
Documents Jaccard Similarity. It is calculated between semantically related
neighborhoods of each two words in a given expression. The word neighborhood is
defined as a window of ± 5 words surrounding a given word in the same sentence. In
the previous features, we detect a conceptual mapping between two words by
enriching one of the words with its semantically related neighborhood. In this feature,
we take this idea one-step further and enrich both words with their semantically
related neighborhoods. The feature is the Jaccard similarity of these two
neighborhoods, calculated as follows:
. (2)
Where SDT(x) is a group of documents that are related to word x according to a
predefined threshold T. In our experiments, we manually set T to 0.35 after trying different
values.</p>
      </sec>
      <sec id="sec-3-2">
        <title>Domain-level features</title>
        <p>Domain Corpus Frequency. The normalized frequency of a word in the domain
corpus. This feature is extracted for every word in the candidate expression. A low
word’s frequency in a given corpus can indicate metaphoric behavior since the word
is not strongly related to the given domain and thus is used there as a metaphor.
Domain Corpus Frequency Difference. The absolute value of the difference
between the frequencies of every two words in a given expression.</p>
        <p>
          Positive Point-wise Mutual Information. This feature
          <xref ref-type="bibr" rid="ref15">(based on Turney and Pantel,
2010)</xref>
          is applied to every two words in a given expression.
        </p>
        <sec id="sec-3-2-1">
          <title>Feature and Model Selection</title>
          <p>
            We used the Wrapper method of
            <xref ref-type="bibr" rid="ref10">(Kohavi &amp; John, 1997)</xref>
            to select the best features for
each expression type. This method gets as input a classifier (e.g., decision tree) and a
criterion to maximize (e.g., accuracy), and finds the subset of features that maximizes
this criterion. We applied this method to each expression type. The criterion we used
was the F-measure. We applied the following classifiers: Logistic Regression, Naïve
Bayes, K-Nearest Neighbors (KNN), Voting Features Intervals (VFI), Random Forest,
Random Tree, and J-48. We also combined each one of them with the AdaBoost
algorithm.
          </p>
          <p>
            All algorithms were run on Weka
            <xref ref-type="bibr" rid="ref7">(Hall, et al., 2009)</xref>
            , an open source implementation
of Machine Learning algorithms. For each domain and expression type, we used the
Wrapper method with 10-fold cross-validation to choose the algorithm and the feature
set that provided the maximum average F-measure value over the ten splits of the
dataset.
4
4.1
          </p>
          <p>Experimental Results</p>
        </sec>
        <sec id="sec-3-2-2">
          <title>Corpora</title>
          <p>
            Our results in this paper are based on the Reuters Corpus, which was previously used
as a domain corpus in
            <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
            . It consists of 342,000 English documents,
which include 3.9 million sentences.
          </p>
          <p>
            We used the same annotated corpus as in
            <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
            . The annotated
corpus was constructed by extracting from the domain corpus sentences containing one of
the five target nouns related to the concepts of “government” and “governance” in both
literal and metaphorical sense: Father, God, Governance, Government, and Mother.
Every selected sentence was parsed with the Stanford Part-of-Speech Tagger
            <xref ref-type="bibr" rid="ref4">(de
Marneffe &amp; Manning, 2008)</xref>
            . Candidate expressions having one of the three syntactic
structures were independently denoted as metaphoric or literal by four human judges
who were given the following definition of a metaphoric expression:
          </p>
          <p>Literal is the most direct or specific meaning of a word or expression. Metaphorical
is the meaning suggested by the word that goes beyond its literal sense.</p>
          <p>
            The annotators were also given examples of literal and metaphorical expressions of
types 1, 2, and 3. Inter-annotator agreement, measured in terms of Cronbach's alpha,
was 0.78, 0.80, and 0.82 for type I, II, and III, respectively
            <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
            .
          </p>
          <p>
            Finally, an expression was labeled as metaphoric if at least three judges out of four
considered it as such; otherwise, it was labelled as literal. Table 1 shows the
distribution of expressions by their type and label (Literal / Metaphorical) in the set of
annotated sentences.
In this section, we present the comparative results of MIL vs. two state-of-the-art
algorithms - Concrete-Abstract (Conc-Abs) of
            <xref ref-type="bibr" rid="ref16">Turney, et al. (2011)</xref>
            and CCO of
            <xref ref-type="bibr" rid="ref11">Neuman,
et al. (2013)</xref>
            , which so far have reported the best performance, in terms of the F-measure
on all three types of metaphoric expressions. The following performance measures were
calculated using 10-fold cross-validation: precision, recall, and F-measure. The
comparative results are shown in Tables 2-4 for expressions of type 1, 2, and 3, respectively.
The Conc-Abs and CCO results are replicated from
            <xref ref-type="bibr" rid="ref11">(Neuman, et al., 2013)</xref>
            and they
refer to the same domain (Reuters) and the same set of annotated sentences.
          </p>
          <p>The MIL algorithm has clearly outperformed the Concrete-Abstract algorithm in
terms of F-measure with an advantage of 12.7%, 5.2%, and 42.9% for expression types
Precision
Recall</p>
          <p>
            F-measure
Precision
Recall
F-measure
Precision
Recall
F-measure
1, 2, and 3, respectively. Moreover, all type 3 expressions were identified by the
Concrete-Abstract algorithm as literal leading to the F-measure of zero. The most likely
reason for that is that our dataset rarely contains expressions where the noun is an
abstract noun (e.g., the noun “thoughts” in the expression “dark thoughts” is an abstract
noun) and most metaphoric expressions contain concrete nouns (e.g., the noun “heart”
in the expression “broken heart” is a concrete noun). Since Conc-Abs relies on a single
feature, which is the noun’s abstractness level, it cannot detect a metaphor in these
cases. However, CCO outperformed MIL, especially in type 2 and type 3 expressions.
Unlike MIL, which is a supervised learning approach, CCO is a rule-based method,
requiring for each new language and domain a significant amount of manual expert
labor along with multiple high-quality knowledge resources, which are unavailable for
most human languages. The F-measure results reported by
            <xref ref-type="bibr" rid="ref14">(Tsvetkov, et al., 2014)</xref>
            for
type 2 and type 3 expressions (76%) are also better than the results reached by MIL,
but their system is dependent upon a massive knowledge resource –WordNet.
          </p>
          <p>
            Table 5 shows the list of features and the classifier selected by the Wrapper method
of
            <xref ref-type="bibr" rid="ref10">(Kohavi &amp; John, 1997)</xref>
            for each expression type. We can conclude from the selected
feature list that the feature First k Documents is a general feature, since it has been
selected in all three expression types. The following features have been selected for
two expression types out of three: Domain Corpus Frequency (Types 1 and 3),
Cosinesimilarity Variance (Types 1 and 3), and Cosine-similarity Average (Types 2 and 3).
These results imply that for detecting conceptual mapping between two words in a
given expression, it can be useful to consider the semantic neighborhood of each word
as well as its frequency in the domain corpus.
In this paper, we have presented a novel supervised learning approach for automatic
metaphor identification in three syntactic structure types. We have extended the single
feature set used by
            <xref ref-type="bibr" rid="ref16">Turney, et al. (2011)</xref>
            with a large amount of statistical features. We
have shown a significant improvement vs. a learning-based algorithm
(Concrete-Abstract). However, MIL was outperformed by a rule-based algorithm (CCO), which
applies a set of rules to a candidate expression in order to determine if it is a literal or not.
In CCO, the rules are generated separately for each of the three expression types, and
if a candidate expression satisfies all of them, it is labelled as literal. Otherwise, it is
labeled as a metaphor. Although CCO outperformed MIL, it has some major
disadvantages. One of the major disadvantages is that the rules are based on a relatively large
amount of linguistic resources, including COCA (Corpus of Contemporary American
English http://www.ngrams.info/), ConceptNet (http://conceptnet5.media.mit.edu/),
WordNet (https://wordnet.princeton.edu/), and Wiktionary
(https://en.wiktionary.org/wiki/English).
          </p>
          <p>Future research on using statistical features for metaphor detection may include
experimentation with additional predictive features, domains, and languages. Transfer
learning across different domains may also be explored.</p>
        </sec>
      </sec>
    </sec>
  </body>
  <back>
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