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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Improving Sentence Embedding With Sentence Relationships From Word Analogies</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Qixuan Zhang</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yves Lepage</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Waseda University</institution>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>In this study, we introduce a novel approach to enhance sentence embedding by leveraging word analogy. Compared with past methods that use word analogy on sentence-level tasks, our method is less afected by sentence patterns and pays more attention to semantic relations. By fine-tuning pre-trained models as BERT, RoBERTa and Sentence-BERT and evaluating their performance on inter-sentence downstream tasks, we demonstrate the eficiency of our method. Our experimental results show that each model, following fine-tuning using our approach, exhibits improvements across all inter-sentence tasks. In the STS task, our method increases the average result from 18.63% to 62.52% on BERT. This outcome substantiates that sentence relationships derived from word analogy contain valuable knowledge that can enhance the performance of sentence embedding models.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;word analogy</kwd>
        <kwd>sentence embedding</kwd>
        <kwd>semantic relationship</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>sound made by a cat"). In total, DSBATS based on semantic network (DSBATS-sn) consists of 20
clusters, each capturing a distinct relationship.</p>
      <p>We employ contrastive learning and DSBATS-sn to fine-tune popular models, including BERT,
RoBERTa, and Sentence-BERT. We do data augmentation on DSBATS-sn to get DSBATS for
contrastive learning (DSBATS4CL). Through a series of experiments, we evaluate the performance
of our approach in three inter-sentence downstream tasks. Firstly, we propose an intrinsic
evaluation task called "sentence relationship similarity distinguishing", a task of identifying whether
the two sentence relationships are the same. Fine-tuning the models with DSBATS4CL leads to
performance improvements of 8.37%, 7.42%, and 7.87% on BERT, RoBERTa, and Sentence-BERT,
respectively, compared to the performance of the original pre-trained models. Secondly, in the
Semantic Textual Similarity (STS) task, our method achieves improvements of 43.6%, 21.46%, and
13.89% on the three pre-trained models, respectively. Additionally, our approach consistently
produces modest improvements on the Microsoft Research Paraphrase Corpus (MRPC) dataset.</p>
      <p>
        We prove that the language model can learn knowledge from sentence relationships generated
from word analogy to improve the performance on semantic analysis tasks. Compared with the
sentence relationships from NLI datasets, our method reduces the need for human annotation
and increases the diversity of inter-sentence relations efort by using semantic network and
word analogy data. Meanwhile, sentence relationship similarity distinguishing task proposed in
this paper is also a challenging evaluation metric for sentence embedding method.
2. Pretrained models and sentence embedding
Pretrained models have played a significant role in the advancement of natural language
processing (NLP) tasks. They are models that are pre-trained on large corpora of text data to learn
language representations that capture semantic and syntactic properties of words and sentences.
Transformer-based pre-trained model like BERT [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] are not only efective in word-level tasks,
but also in sentence-level tasks, because of their ability to capture contextual information and
because they can be simply transfered to diferent downstream tasks. BERT uses the [CLS]
token specifically to capture a sentence-level semantics. By extracting the representation of the
[CLS] token from the output, we can obtain a sentence embedding that reflects the contextual
information of the entire sentence. BERT’s pretraining procedure includes two specific tasks:
masked language modeling (MLM) and next sentence prediction (NSP). RoBERTa [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] builds
upon BERT. It introduces dynamic masking and removes next sentence prediction, leading to
improved performance and robustness.
      </p>
      <p>
        Many sentence embedding methods opt to fine-tune BERT or RoBERTa using sentence-level
pre-training tasks. Sentence-BERT (SBERT) [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] is typically based on the BERT architecture.
Its fine-tuning task focuses on natural language inference (NLI), aiming to train a sentence
embedding space that efectively captures semantic relationships between sentences. In [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
it is noted that methods based on natural language inference (NLI) datasets exhibit excellent
performance in various downstream tasks. The authors argue that the sentence relationships
captured in NLI include world knowledge that can improve language models.
Animal Sounds
bee
dog
cat
duck
buzz/hum
bark/growl/howl/yelp/whine/arf/woof
meow/meu/purr/caterwaul
quack
3. Definition Sentences from BATS (DSBATS)
In this section, we introduce how we extract sentence relationship data, where the relationships
and sentences are from, and how to connect them together. The extraction result is DSBATS
based on semantic networks (DSBATS-sn). We give statistics on DSBATS-sn in Table 2 and
examples in Tables 3 and 4. The dataset is available. 1
      </p>
      <sec id="sec-1-1">
        <title>3.1. Relationship resource: word analogy</title>
        <p>
          We use word analogy as the relationship resource. The most common example of word analogy
is king : queen :: man : woman, it states that "king is to queen as man is to woman". Phenomena
like this are to be studied as an important process of human cognition, with the development of
language models, computational analogy has attracted more and more attention [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. Mikolov
[
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] proposed to use the word ofset technique to calculate this phenomenon with vectors
corresponding to the words. That means, in an ideal word embedding space, the result of
ki⃗ng − m⃗an + wom⃗an should be equal to qu⃗een. This method is widely used as a benchmark
to evaluate the quality of word embedding technique, and several word analogy test datasets
have been proposed, like the Google analogy test set [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] and the Bigger Analogy Test Set
(BATS) [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. We choose BATS because it has fewer homonymy problems and various categories.
BATS includes 40 morphological and semantic categories, each category can be regarded as
a word analogy cluster. Example of a small word analogy cluster from BATS is shown in
Table 1. Any two lines of words in the same cluster can form an analogical quadruple, like
bee : buzz :: dog : bark.
        </p>
        <p>
          There have also been past studies on constructing sentence relationships through word
analogy, in [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. They create general-purpose templates and replace a word that matches the
word in the word analogy dataset in the template. For the sentence templates "They traveled
to Havana" and "They took a trip to Cuba", by replacing Havana-Cuba with capital-country
word pairs found in word analogy datasets, a cluster of sentence pairs with similar relationships
can be generated. The sentences generated by this method have the same sentence patterns. In
fact, similar sentence patterns are not necessary to express similar semantics. Here by contrast,
we construct sentences with semantic relationships that are not afected by sentence patterns.
        </p>
      </sec>
      <sec id="sec-1-2">
        <title>3.2. Sentences resource: semantic networks</title>
        <p>
          We use semantic networks as the sentences resource. Semantic network is a kind of resource in a
graphical form that shows the relationships between concepts or entities. In a semantic network,
concepts are represented by nodes, and the relationships between those concepts are represented
by edges that connect the nodes. BabelNet is a multilingual semantic network and ontology
that provides a wide range of information about words and concepts in multiple languages [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ].
BabelNet integrates information from a variety of sources, including WordNet [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ], Wikipedia,
and other lexical and semantic resources, it currently supports over 300 languages. A synset
node in BabelNet includes its synonyms set, the part of speech, the domain category, the
definition sentences, and other related information. The most important information for us is
the definition sentences.
        </p>
      </sec>
      <sec id="sec-1-3">
        <title>3.3. Extraction process</title>
        <p>With BATS as our relationship resource and BabelNet as our sentence resource, we build
the dataset Definition Sentences from BATS based on sementic network (DSBATS-sn). The
extraction process is as the Figure 1(a). We input word analogy clusters into BabelNet, and
BabelNet will deliver several synsets for each word in the clusters. In Figure 1(b), we have
"duck" and "quack" as a pair in the cluster of animal:sound relationship, the search for"duck" in
BabelNet delivers 35 diferent synsets, including synsets that do not conform to the animal:sound
relationship like the synset with number 0 in math area. We use a filter to select the valid
synsets that refer to the concept corresponding to the relationship. The filter takes advantage
of the information contained in BabelNet, like the domain category or the part of speech, to
select the synsets that match the relationships. In Figure 1(b), orange synsets are chosen, and
gray synsets are discarded. The definition sentences in the valid synsets will be organized as
sentence relationship clusters as the output part in Figure 1(a). In DSBATS-sn, there are 20
clusters corresponding to 20 diferent relationships, the size of diferent clusters (categories) are
shown in Table 2. Some additional examples are shown in Tables 3 and 4.
“bee” “buzz”
“dog” “bark”
“cat” “mew”
“duck”“quack”</p>
        <p>BabelNet</p>
        <p>Filter
“Any of numerous hairy-bodied “Sound of rapid vibration.”
insects including social and
solitary species.”
“The dog is a domesticated
descendant of the wolf.“
“Domesticated mammal of the “The sound made by a cat.”
Felis catus species.”
“Name applied to several bird
species of the family Anatidae. ”
“The harsh sound of a duck”
“The sound made by a dog. ”
(a) Input a word analogical cluster in BATS and output a sentence
relationship cluster in DSBATS-sn
“Small wild or domesticated …swimming
bird usually having …short legs.”,
…
“duck”
“zero”, “nought”,
“cipher”,
“duck”
“A mathematical element …another number
yields the same number.”,</p>
        <p>…</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>4. Fine-tuning with DSBATS-sn</title>
      <p>
        When using DSBATS-sn for fine-tuning, we aim to have similar relationships close to each
other and diferent relations far away from each other in the embedding space. For example, the
relationship between "Domesticated mammal of the felis catus species" and "The sound made by a
cat", and the relationship between "The dog is a domesticated descendant of the wolf" and "The
sound made by a dog" are both the relationship of animal:sound, they are positive examples
that should be close, and we can generate sentence pairs in another relationship sound:animal
as negative examples by exchange the position in the pair. This requirement conforms to
the basic idea of contrastive learning, which is to narrow the distance of relevant samples
and push the distance of irrelevant samples in a certain feature space. Contrastive learning
does not require very large-scale labeled data, and it can make the samples more uniformly
distributed in the feature space [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. We basically follow the contrastive learning framework and
configuration of [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Following the idea of contrastive learning, we create negative examples
through the operation above and get DSBATS for contrastive learning (DSBATS4CL). One
example in DSBATS4CL includes 3 relationships, that is 6 sentences, as Table 5, the red one is is
the negative pair. We have 2,244,530 such examples in DSBATS4CL for training.
      </p>
      <p>
        Our loss is basiclly InfoNCE [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], in a batch of size , the InfoNCE loss of the th example 
is:
loss = − log ( ∑︀
=1 sim(,+)/
      </p>
      <p>)
But there is a little diference, we only use the third pairs in the batch as negative examples,
instead of using all the samples in the same batch except for  as negative examples for , so</p>
      <sec id="sec-2-1">
        <title>Any of numerous hairy-bodied insects including social and solitary species.</title>
      </sec>
      <sec id="sec-2-2">
        <title>Sound of rapid vibration.</title>
      </sec>
      <sec id="sec-2-3">
        <title>The dog is a domesticated descendant of the wolf.</title>
      </sec>
      <sec id="sec-2-4">
        <title>The sound made by a dog.</title>
      </sec>
      <sec id="sec-2-5">
        <title>Sound of rapid vibration.</title>
      </sec>
      <sec id="sec-2-6">
        <title>Any of numerous hairy-bodied insects including social and solitary species.</title>
        <p>Relationship
animal:sound
animal:sound
sound:animal
loss = − log ( ∑︀
=1 sim(,− )/</p>
        <p>)
sim(,+)/
(2)
 − corresponding to the red example in Table 5.
S1: Any of numerous
hairybodied insects including social
and solitary species.</p>
        <p>S3: The dog is a domesticated
descendant of the wolf.“
S2:Sound of rapid vibration.</p>
        <p>S4: The sound made by a dog..</p>
        <p>Sentence Embedding
 Ԧ1
 Ԧ2
 Ԧ3
 Ԧ4
( 1 −  2,  3 −  4, |  1 −  2 −  3 +  4 |)</p>
        <p>Classifier
Similar relationship</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>5. Experiment and evaluation</title>
      <sec id="sec-3-1">
        <title>5.1. Intrinsic evaluation</title>
        <p>We designed the Sentence Relationship Similarity Distinguishing (SRSD) task as intrinsic
evaluation. It inputs a pair of relationships at a time, which is 4 sentences, and predicts if they
are two similar relationships. Figure 2 shows the process with two sentence relationships in
the same category. The test set is a manually annotated DSBATS dataset diferent from the
automatically extracted DSBATS-sn in Section 3. The manual version uses the same relationship
resource BATS but diferent sentence resources like Oxford Dictionary, Webster’s Dictionary,
and Collins Dictionary, so we call the manually annotated DSBATS as DSBATS-dic. The number
of pairs of sentences in DSBATS-dic is shown in Table 6. After learning with DSBATS4CL, all
three models improved accuracy on this task. The improvement is basically about 6%. The best
performance is from Sentence-Bert with DSBATS4CL, which reaches 69.55%. Table 7 shows the
result of SRSD task.</p>
        <sec id="sec-3-1-1">
          <title>Category</title>
        </sec>
        <sec id="sec-3-1-2">
          <title>L01 hypernyms - animals</title>
        </sec>
        <sec id="sec-3-1-3">
          <title>L02 hypernyms - misc</title>
        </sec>
        <sec id="sec-3-1-4">
          <title>L04 meronyms - substance</title>
        </sec>
        <sec id="sec-3-1-5">
          <title>Size 251 225 127</title>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>5.2. Extrinsic evaluation</title>
        <p>
          We conducted extrinsic evaluations using the Semantic Textual Similarity (STS) and Microsoft
Research Paraphrase Corpus (MRPC) datasets as extrinsic evaluations. We use SentEval [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] to do
the evaluation and follow the default configurations. The STS evaluation involves inputting two
sentences and predicting a score between 0 and 5 that represents the similarity between the two
sentences. Higher scores indicate better performance, as they align more closely with
humanlabeled similarity. The results, as summarized in Tables 7 and 8. They demonstrate the impact
of fine-tuning with DSBATS4CL on the performance of the three pre-trained models. After
finetuning with DSBATS4CL, the performance of all three pre-trained models improves. Notably,
BERT and RoBERTa, which had not previously learned the relationship between sentences,
improve by 43.89% and 20.02% in average, respectively. MRPC input two sentences and predict
if they are similar or not. Higher scores correspond to higher accuracy. In comparison to the
STS task, the improvements on MRPC are relatively small. The best performance is achieved by
Sentence-BERT with DSBATS4CL, attaining accuracy of 66.06% on STS and 74.20% on MRPC,
respectively. The results indicate that knowledge captured from sentence relationships derived
from word analogy is valuable, fine-tuning with DSBATS4CL enhances the models’ ability to
understand the semantic relation between sentences.
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>6. Conclusion</title>
      <p>In this work, we introduced a method to enhance sentence embedding using word analogy. We
map the relationships between words to relationships between sentences by using definition
sentences in semantic network. Compared with the past methods that use word analogy in
sentence-level tasks by replacing words in sentences, our method is less limited by morphology
and pays more attention to semantics. The improvements on downstream tasks like STS and
MRPC prove that the sentence relationships from word analogy include the knowledge that
can enhance the semantic understanding of sentence embedding models. Sentence relationship
similarity distinguishing task proposed as an intrinsic evaluation in our work can also be a
challenging evaluation task for other sentence embedding methods. We believe that it is worth
further exploring ways to combine analogy with contrastive learning, as analogy relation has
many equivalent forms suitable for contrastive learning to construct positive and negative
examples.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>This work has been supported in part by a research grant from JSPS Kakenhi Kiban C n° 21K12038
entitled “Theoretically founded algorithms for the automatic production of analogy test sets in
NLP.”</p>
    </sec>
  </body>
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