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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>NFinBERT: A Number-Aware Language Model for Financial Disclosures</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Hao-Lun Lin1 and Jr-Shian Wu2 Yu-Shiang Huang3</string-name>
          <email>f106703027,106703026g@nccu.edu.tw b05702095@ntu.edu.tw</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ming-Feng Tsai4</string-name>
          <email>mftsai@nccu.edu.tw</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Chuan-Ju Wang5</string-name>
          <email>cjwang@citi.sinica.edu.tw</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Academia Sinica</institution>
          ,
          <addr-line>Taipei</addr-line>
          ,
          <country country="TW">Taiwan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Chengchi University National Taiwan University</institution>
          ,
          <addr-line>Taipei</addr-line>
          ,
          <country country="TW">Taiwan</country>
          <addr-line>Taipei</addr-line>
          ,
          <country country="TW">Taiwan</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>National Chengchi University</institution>
          ,
          <addr-line>Taipei</addr-line>
          ,
          <country country="TW">Taiwan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>As numerals comprise rich semantic information in financial texts, they play crucial roles in financial data analysis and financial decision making. We propose NFinBERT, a number-aware contextualized language model trained on financial disclosures. Although BERT and other contextualized language models work well for many NLP tasks, they are not specialized in finance and thus do not properly manage numerical information in financial texts. Therefore, we propose pre-training the language model on a large collection of “preprocessed” financial disclosures in which the numbers in reports are explicitly replaced with the knowledge and understanding of the financial and accounting functions of reports. Experimental results on two fine-tuning classification tasks show that language models pre-trained on financial specialized texts generally outperform BERT. Furthermore, the proposed numberaware NFinBERT significantly surpasses other models when the task becomes more difficult or number-sensitive.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        BERT
        <xref ref-type="bibr" rid="ref5">(Devlin et al., 2018)</xref>
        , a state-of-the-art
language model, consists of a set of Transformer
encoders
        <xref ref-type="bibr" rid="ref17">(Vaswani et al., 2017)</xref>
        stacked on top of each
other. In contrast to traditional language models’
prediction of the next token given previous tokens,
BERT uses masked LMs (MLMs) and next
sentence prediction (NSP) to pre-train the language
model, defining language modeling in an
unconventional manner. Due to the superior performance of
BERT on various natural language processing tasks,
numerous related studies and models, including
RoBERTa
        <xref ref-type="bibr" rid="ref12 ref18">(Liu et al., 2019)</xref>
        and ELECTRA
        <xref ref-type="bibr" rid="ref3">(Clark
et al., 2020)</xref>
        , have been proposed to advance the
state of the art. Other works attempt to adopt this
powerful technique to different domains by
pretraining language models on corpora from different
target domains, such as finance and biomedical
sciences
        <xref ref-type="bibr" rid="ref10 ref4">(DeSola et al., 2019; Lee et al., 2020)</xref>
        .
      </p>
      <p>
        For applications in finance and accounting, in
addition to pre-training domain-specific language
models, recent work has focused on fine-tuning the
pre-trained model for downstream tasks, including
sentiment analysis
        <xref ref-type="bibr" rid="ref15">(Sousa et al., 2019)</xref>
        and numeral
category prediction
        <xref ref-type="bibr" rid="ref18">(Wang et al., 2019)</xref>
        . However,
most such studies directly use the original design
of BERT and thus do not properly manage
numerical information in financial texts. However, in
contrast to other domains, numbers in financial
text such as financial disclosures, market
commentary, and financial news are especially important
for understanding the minutiae of such textual
information. Moreover, financial documents usually
contain relatively large amounts of numbers; for
example, whereas only 0.98% of the tokens in the
blog corpus
        <xref ref-type="bibr" rid="ref14">(SCHLER, 2006)</xref>
        are numbers, the
10K financial reports used here have a much higher
proportion of number tokens: 4.79% of all tokens.
Thus, properly addressing such numeral
information when pre-training the language models is
critical to raising the quality of the pre-trained model.
For instance, the sentence “Q4 revenue raised by
4,000,000, which is 12.8% of the total amount in
the year” is nonsensical if the numbers in it are not
properly interpreted.
      </p>
      <p>To this end, we propose NFinBERT,1 a
number1The pre-trained model will be publicly available upon
aware contextualized language model pre-trained
on a large collection of “pre-processed” financial
disclosures, for which we explicitly replace
numbers in reports with the knowledge and
understanding of the financial and accounting functions of
reports. We conduct two downstream tasks to
evaluate the proposed model: one is binary classification
for risk sentence detection and the other is 12-class
classification for sentence-level numeral category
prediction. The results indicate that that language
models pre-trained on financial specialized texts
generally outperform BERT. Furthermore, the
proposed number-aware NFinBERT significantly
surpasses other models on more difficult or
numbersensitive tasks.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Pre-Training Models on Financial</title>
    </sec>
    <sec id="sec-3">
      <title>Reports</title>
      <p>2.1</p>
      <sec id="sec-3-1">
        <title>Data and Preprocessing</title>
        <p>
          To pre-train the domain-specific language
models on financial reports, we used the 10-K reports
from 1996 to 2013 collected by
          <xref ref-type="bibr" rid="ref13">(Loughran and
McDonald, 2011)</xref>
          .2 Moreover, following
previous studies
          <xref ref-type="bibr" rid="ref16 ref2 ref6 ref9">(Kogan et al., 2009; Tsai et al., 2016;
Buehlmaier and Whited, 2018)</xref>
          , we used only
Section 7 “Management’s Discussion and Analysis of
Financial Conditions and Results of Operations”
(MD&amp;A) in the experiments as it contains the most
important forward-looking statements about the
companies. The resultant corpus contains 183,115
MD&amp;A sections from different companies in 18
years, with 45,126,776 sentences and 838,842,639
tokens in total.
        </p>
        <p>To train NFinBERT, the number-aware language
model, we identify the 11 common categories of
numbers in financial reports listed in Table 1, with
help from several domain experts in finance and
accounting. Note that these tokens are usually not
pure integers or floats, and may contain commas
or parentheses due to the number formats used in
accounting, making the preprocessing more
complicated than that for normal numbers. For instance,
one million is sometimes presented as “1,000,000”
in financial reports, and “(1,000)” represents
negative one thousand. For such complex preprocessing,
we used both regular expressions and named entity
recognition (NER)3 to recognize tokens containing
publication.</p>
        <p>2https://sraf.nd.edu/textual-analysis/
resources/
3SpaCy was used for NER.
numbers and slot them into one of the 11 classes.
For example, $1,000,000 in the reports was masked
as the token [MONEY], and 95% was masked
as [RATIO]. Therefore, in addition to [CLS] and
[SEP], BERT’s original masks, we here add 11
masks to train NFinBERT. The distribution of
categories is listed in the last column of Table 1.
2.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>FinBERT and NFinBERT</title>
        <p>
          BERT
          <xref ref-type="bibr" rid="ref5">(Devlin et al., 2018)</xref>
          is a language model
containing a set of Transformer encoders
          <xref ref-type="bibr" rid="ref17">(Vaswani
et al., 2017)</xref>
          stacked on top of each other; such
a design defines language modeling in an
unconventional manner. Following previous
studies
          <xref ref-type="bibr" rid="ref1 ref2 ref6">(Howard and Ruder, 2018; Araci, 2019)</xref>
          , we
pre-train language models on finance, the target
domain, and experiment with two approaches: 1)
Pretraining the model on a large collection of financial
reports—the original corpus containing 92,402,863
sentences—and 2) Pre-training the model on a
corpus in which all of the numbers have been replaced
by the tokens listed in Table 1.
        </p>
        <p>
          As in
          <xref ref-type="bibr" rid="ref4">(DeSola et al., 2019)</xref>
          , we pre-train the two
language models using 10K warm-up steps, setting
the max sentence length and batch size both equal
to 128, the maximum predictions per sequence to
20, and the learning rate to 5 10 4. The
performance on MLM and NSP is summarized in Table 2
and is generally consistent with the results in
          <xref ref-type="bibr" rid="ref4">(DeSola et al., 2019)</xref>
          .
3
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Experiments</title>
      <p>In this section, we describe experiments on two
fine-tuned classification tasks to evaluate the
effectiveness of pre-trained language models. The
first task (denoted as Task 1 hereafter) considers
binary classification for identifying risk sentences in
financial reports, and the second (Task 2) is
multiclass classification regarding the types of numbers
mentioned in sentences extracted from the reports.
3.1
3.1.1</p>
      <sec id="sec-4-1">
        <title>Datasets</title>
      </sec>
      <sec id="sec-4-2">
        <title>Task 1: Binary Classification for Risk</title>
      </sec>
      <sec id="sec-4-3">
        <title>Prediction</title>
        <p>
          We conducted the experiments on 10K-Sentence, a
sentence-level risk classification dataset
          <xref ref-type="bibr" rid="ref11">(Lin et al.,
2020)</xref>
          , consisting of 2,432 sentences extracted from
the 10-K reports from 1996 to 2013; each sentence
in 10K-sentence is categorized as either risky or
non-risky by annotators specializing in finance or
Category
        </p>
        <p>Explanation
monetary numbers
dates
phone numbers
bond ratings
ordinal information
quantities
addresses
numbers related to ratios
percentages
time unit smaller than a day
other numbers</p>
        <sec id="sec-4-3-1">
          <title>Example</title>
          <p>linguistics,4 resulting in 1,536 risky sentences and
896 non-risky sentences for binary classification.
3.1.2</p>
        </sec>
      </sec>
      <sec id="sec-4-4">
        <title>Task 2: Multi-class Classification for</title>
      </sec>
      <sec id="sec-4-5">
        <title>Number Category Prediction</title>
        <p>For the second task, we constructed a new dataset
containing 25,261,147 sentences in total extracted
from the 10-K reports from 1996 to 2013, each of
which is labeled with one of the 11 categories listed
in Table 1 plus a “[Nothing]” type. Specifically, the
dataset is composed of all sentences in the 10-K
reports from 1996 to 2013 containing exactly one
number or no number, the former of which was
labeled with one of the 11 categories and the latter
of which was labeled with the [Nothing] type. For
the following experiments, we performed 12-class
classification for number category prediction on
1,403,397 randomly selected sentences,
constituting 5.6% of the original dataset5 with the same
category distribution of the original dataset, due to
computational resource limitations.</p>
        <sec id="sec-4-5-1">
          <title>4Dataset details can be found in (Lin et al., 2020).</title>
          <p>5As the sentences are from the reports of 1996 to 2013
(i.e., 18 years in total), we here simulate a one-year dataset by
randomly sampling 1=18 5:6% of the sentences from the
original dataset.
3.2</p>
        </sec>
      </sec>
      <sec id="sec-4-6">
        <title>Experimental Settings</title>
        <p>In both tasks, we split the datasets into training,
validation, and test sets at an 8:1:1 ratio,
respectively. Moreover, to mitigate the label imbalance
problem in Task 2, we down-sampled the training
data to the median of the numbers of instances in
each category,6 resulting in 177,473 sentences in
total.7 The resulting category distribution for model
training is illustrated in the first row of Figure 1.
Note that only the training set was down-sampled;
the validation and test sets retained the original
category distribution. We used 15 epochs to
finetune all BERT-based models, setting the max
sentence length to 128 and the batch size to 32, and
used the validation set to search learning rates in
f10 5; 5 10 5; 10 4g. The best learning rates
for BERT, FinBERT, and NFinBERT were 10 5,
10 4, and 10 4, respectively. Note that the results
on both validation and test sets are the averaged
results over five repetitions.</p>
        <p>6Note that we reduced the training instances only in
categories for which the number of instances were higher than the
median; we kept the rest categories unchanged.</p>
        <p>
          7Note that in our experiments, as we found that using 2%
of the down-sampled sentences achieves satisfactory
performance, we here used only 3,195 sentences for Task 2 model
training due to computational resource limitations.
For both tasks, we compared three BERT-based
models with three baselines—TF-IDF
bag-ofwords (BOW) with logistic regression,
convolution neural network (CNN)
          <xref ref-type="bibr" rid="ref8">(Kim, 2014)</xref>
          , and
fastText
          <xref ref-type="bibr" rid="ref7">(Joulin et al., 2016)</xref>
          —and summarize their
performance in Table 3. As shown in the table, for
Task 1, all three BERT-based models yield
comparable performance, significantly better than the
three baseline models.
        </p>
        <p>On Task 2, which is more difficult than Task 1,
both FinBERT and NFinBERT surpass BERT8 in
terms of macro F1 by a significant amount.9
Figure 1 details the performance of each category in
terms of F1 score with a heatmap for all three
BERT-based models. From the figure, we observe
that BERT is outperformed by FinBERT and
NFinBERT for the categories with the fewest training
instances ([OTHER], [PHONE], and [RATIO]);
this is why BERT achieves better accuracy but a
lower macro F1 score in Table 3. Moreover, for
these three categories, NFinBERT yields more
accurate prediction than FinBERT, suggesting that
8The BERT-Base, Uncased pre-trained model was used in
the experiments.</p>
        <p>9The improvements compared to BERT are statistically
significant at p &lt; 0:01 with a paired t-test.
the number-aware pre-trained language model is
beneficial for Task 2.
4</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>We introduce NFinBERT, a number-aware
language model trained on financial disclosures, in
which we identify 11 categories of numeral tokens
with the knowledge and understanding of the
financial and accounting functions of reports and replace
them with additional masks to pre-train the model.
The experimental results show that it is crucial to
pre-train BERT on a finance-specific corpus for
finance-related downstream tasks; moreover, the
proposed NFinBERT outperforms other compared
models for 12-class classification for sentence-level
numeral category prediction.</p>
    </sec>
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