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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Paris, France
∗Corresponding author.
†These authors contributed equally.
£ pascale.moreira@cc.au.dk(P. F. Moreira);yuri.bizzoni@cc.au.dk(Y. Bizzoni); ohman@waseda.jp (E. Öhman);
kln@cas.au.dk(K. Nielbo)
ȉ</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Not just Plot(ting): A Comparison of Two Approaches ⋆ for Understanding Narrative Text Dynamics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pascale FeldkampMoreir a</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>YuriBizzoni</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>EmilyÖhman</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kristo昀er Nielbo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Center for Humanities Computing, Aarhus University</institution>
          ,
          <addr-line>Aarhus</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>School of International Liberal Studies, Waseda University</institution>
          ,
          <addr-line>Tokyo</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>This paper presents the outcomes of a study that leverages emotion annotation to investigate the narrative dynamics in novels. We use two lexicon-based models, VADER sentiment annotation and a novel annotation of 8 primary NRC emotions, comparing them in terms of overlaps and assessing the dynamics of the sentiment and emotional arcs resulting from these two approaches. Our results indicate that whereas the simple valence annotation does not capture the intricate nature of narrative emotions, the two types of narrative pro昀椀ling exhibit evident correlations. Additionally, we manually annotate selected emotion arcs to comprehensively analyse the resource.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;sentiment analysis</kwd>
        <kwd>narrative emotions</kwd>
        <kwd>fractal analysis</kwd>
        <kwd>computational literary studies</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>approaches – the 昀椀rst one-dimensional, rule- and sentence-based, and the second
multidimensional, embedding- and paragraph-based – a convergence of their results on a large-scale
literary corpus would help in gaining an understanding of both methods’ reliability as more or
less diverging methods for studying literary texts. A radical divergence, instead, could indicate
that the complexity of literary language is too high for relatively simplistic analyses and that
more sophisticated methods are needed.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Previous Works</title>
      <p>
        To capture meaningful aspects of the reading experience, previous work has tested the potential
of sentiment analysis [
        <xref ref-type="bibr" rid="ref1 ref18">1, 19</xref>
        ] at the word [
        <xref ref-type="bibr" rid="ref31">34</xref>
        ], sentence [
        <xref ref-type="bibr" rid="ref29">32</xref>
        ], or paragraph level2[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], to model,
i.a., sentiment arcs of novels 2[
        <xref ref-type="bibr" rid="ref3 ref39">3, 42, 21</xref>
        ]. Sentiment arcs have been used to evaluate literary
texts in terms of shape or plot4[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and progression 1[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], as well as mood 3[9]. Moreover,
certain arc dynamics have been connected to reader appreciation, considering both simple
and complex narratives 3[
        <xref ref-type="bibr" rid="ref2">, 2</xref>
        ], and Bizzoni, Moreira, Thomsen, and Nielbo2][ have shown
that sentiment features have an e昀ect even when compared to the stylistic features usually
employed for this type of task2[
        <xref ref-type="bibr" rid="ref27 ref7">7, 30</xref>
        ]. Studies usually draw positive or negative sentiment
scores or valences of words or sentences via lexic1a8][ or machine learning approaches based
on human annotations [
        <xref ref-type="bibr" rid="ref32">35</xref>
        ]. Several studies seek to develope suitable and speci昀椀c methods to
annotate sentiments and emotions for di昀erent domains [
        <xref ref-type="bibr" rid="ref34 ref46">9, 37, 49</xref>
        ].
      </p>
      <p>
        Approaches toemotion annotation are predominantly based on the theory of universal
emotions by Ekman [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], including Plutchik’s wheel of emotions41[], and SenticNet [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ],
although recent studies have shown promise in expanding these model8s][. Studies of emotion
in literary texts face challenges that inhere to emotion annotation, including the volatility and
overlap of emotions as it is a task where there are large disagreements even between human
annotators [
        <xref ref-type="bibr" rid="ref35">38</xref>
        ], with a lack of ground truth due to the subjective nature of emotions. Despite
these inherent challenges, both Koljonen, Öhman, Ahonen, and Mattil2a6[] and Schmidt and
Burghardt 4[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] show that emotion intensity (or polarity) is more congruent with human
interpretations of a昀ective content compared to a simple binary lexicon-based approach; and
emotion annotation has been used to model literary genr2e4][, as well as reader appreciation,
where Maharjan, Kar, Montes, González, and Solori3o1[] have shown that the emotion 昀氀ow
in literary texts is connected to reader appreciation, indicating the potential of going beyond
simple valences.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Data</title>
      <sec id="sec-3-1">
        <title>3.1. The Chicago Corpus</title>
        <p>
          We use the “Chicago Corpus”, which spans 9,089 novels published in the US (1880-2000), and is
a unique corpus both in terms of siz1e,and diversity. It was compiled based on the number of
libraries holding each novel with preference for very circulated works. It is not homogeneous
1Studies on literary quality o昀琀en rely on corpora &lt;of1,000 books [
          <xref ref-type="bibr" rid="ref14 ref25">14, 27</xref>
          ].
in terms of genre, as library holdings re昀氀ect a diverse demand across genre, and features both
prestigious and popular works from Mystery to Science Fictio2n9][.2
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Emotion Annotation</title>
        <p>
          For annotation of emotion intensities, we use the NRC A昀ect Intensity Lexicon [
          <xref ref-type="bibr" rid="ref33">36</xref>
          ] of emotion
labels, because it is an extensive emotion intensity lexicon (compared to other similar lexicons)
that has been used and validated in various emotion detection tasks. The NRC lexicon was
created based on human annotations and contains 9,829 lexemes with at least one emotion
label, connected to a value between 0 and 1 to represent the intensity of the labeled emotion(s)
calculated utilizing best-worst-scaling in the annotation proce2s5s][. The emotions areanger,
anticipation, disgust, fear, joy, sadness, surprise, and trust. As this lexicon is not speci昀椀c to
the domain of literary texts, we used the novels in our dataset to create a semantic vector
space model with Word2Vec3[
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. We then expanded the lexicon by extracting emotions for
lexemes that were not in the lexicon but had high cosine similarity values with lexemes in
the lexicon, as well as various iterations of manual evaluation checking for unsubstantiated
emotion associations of words3[
          <xref ref-type="bibr" rid="ref41">9, 44, 15</xref>
          ]. This enabled us to create a 昀椀ne-tuned
domainspeci昀椀c lexicon.
        </p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Sentiment Analysis</title>
        <p>
          To annotate for valence, we chose a simple lexicon-based approach, usiVnAgDER at the
sentence level [
          <xref ref-type="bibr" rid="ref16">17</xref>
          ], where each sentence is assigned compound score, ranging from negative
(-1) to positive (1). We applied VADER because of its transparency, being based on a
lexicon and a small set of rules. It is widely employed and shows good performance and
consistency across domains 4[
          <xref ref-type="bibr" rid="ref40 ref5">5, 43</xref>
          ], which is bene昀椀cial when dealing with a corpus diverse in
genre. Moreover, the origin of VADER in social media analysis does not appear to hinder
annotation of literary texts4[]. Elkins and Chun [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] observe that the arc appears
comparable to theSyuzhet-package, speci昀椀cally developed for narrative 2[
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. However, using
VADER side-steps some of the problems inherent to this package and to word-based annotation
[
          <xref ref-type="bibr" rid="ref44">47</xref>
          ]. Dictionary-based methods seem to perform well even on so-called “nonlinear” narratives
[richardson_linearity_2000, 13], and do not appear to perform worse than state-of-the-art
Transformer-based approaches1[
          <xref ref-type="bibr" rid="ref2 ref7">2, 7</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Methods</title>
      <p>
        We compare the emotion-based annotation of the novels with their simple annotation of
VADER valence, using two central representations of the texts: their overall average emotional
and sentimental intensity and the dynamics of emotion and sentiment arcs as estimated by the
Hurst exponent (indicating arc persistence), as going beyond the sentiment or emotion
intensities of novels to look at arc dynamics allows us to compare the similarities and strengths of
each approach.
2Other studies have used the corpus5[
        <xref ref-type="bibr" rid="ref1 ref6">1, 6</xref>
        ], see https://textual-optics-lab.uchicago.edu/us_novel_corp.us
      </p>
      <sec id="sec-4-1">
        <title>4.1. Average Emotion</title>
        <p>The initial inquiry focuses on the distribution of emotion intensities within the corpus and
its relationship with the overall VADER valence distribution. By examining the average
emotional intensity of the novels, we examine predominant tendencies of the corpus. Moreover, by
comparing the distributions of the emotions as well as the correlation between mean emotion
intensities and mean valence of novels, we see whether valence subsumes emotions. If there
was no correlation between novels’ mean values in emotions and mean valence, it may mean
that emotion-based annotation and sentiment annotation capture di昀erent text facets.
Similarly, a strong correlation between all emotion values and the valence of texts may indicate
that emotion-based annotation does not contribute much beyond that which a valence-based
approach captures.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Arc Dynamics</title>
        <p>
          In addition to assessing the average emotion, we assess the dynamics of emotion and sentiment
arcs in the narratives, which have recently appeared promising in modeling reader
appreciation [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ]. The Hurst exponent is a statistical measure that estimates the self-similarity of a
time series, which has been proposed as an indicator of arc coherenc1e6][. In this particular
study, we apply adaptive fractal analysisG[ao2011, 50] instead of the more commonly used
detrended 昀氀uctuation analysis [
          <xref ref-type="bibr" rid="ref37">40</xref>
          ], due to the inherent noisiness and non-linearity of arcs.
While the estimation of the Hurst exponent is beyond the scope of this paper, we use the
following heuristic for arc coherence16[]. The range of the Hurst exponen t for well-behaved
time series is0 ≤  ≤ 1 . For ≥ 0.5 , arcs are persistent such that increases are followed by
increases and decreases by further decreases. F or= 0.5 , arcs appear as white noise and are
only characterized by short-range correlations; and  fo&lt;r0.5 , arcs are anti-persistent and
display mean-reverting behavior, that is, increases are followed by decreases and decreases
by increases. In terms of arc coherence, persistent story arcs appear as more coherent
narratives, where emotional intensity develops at longer time scales. Story arcs that only display
short-range correlations lack coherence, while anti-persistent story arcs will oscillate around
an average and undi昀erentiated emotional state [16].
        </p>
        <p>We observe the distribution of the level of persistence in emotion and sentiment arcs using
both emotion-based and sentiment-based annotations. If the two resources returned radically
di昀erent Hurst exponents, it would mean that the patterns elicited by a simple analysis for
valence are very di昀erent from those elicited by emotion analysis. In other words, the
“composition” of all the emotions in one single dimension gives way to dynamics that are di昀erent
from the patterns of any individual emotion. In contrast, overlap between the Hurst
distribution of the sentiment arcs and that of the emotion arcs would indicate comparability of the
two annotations. It could give insight into which emotions are drawing the overall sentiment
Hurst of the corpus towards higher versus lower exponents.
Emotion
Valence
Joy
Trust
Anger
Fear
Sadness
Disgust
Surprise
Anticipation</p>
        <p>Mean
0.031
6.126
7.352
3.536
4.737
4.336
2.278
2.927
5.124
0.039
1.598
1.302
0.921
1.321
0.907
0.559
0.474
0.824</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Results</title>
      <sec id="sec-5-1">
        <title>5.1. Emotional Intensities</title>
        <p>As ranges of VADER’s valences and emotion intensities are not the same (-1 to 1 vs. 0 to 20) we
cannot directly compare the two sets of distributions, but observe their behavior considering
their own means.</p>
        <p>
          First, applying VADER uncovers a subtle positivity-bias in our corpus, into which the
distribution of speci昀椀c emotions provides further insight. The emotiontsrust and anticipation might
contribute to the right-skewed distribution, indicating a prevalence of positive emotional
expressions, while joy appears to have a long right tail. Positive emotions may pull the skew
towards higher values, which aligns with the prominence of positive valence in our corpus.
Moreover, negative emotions tend to cluster towards moderately lower intensity levels, and
the mean of emotions like disgust and anger have much lower mean values than more positive
emotions like joy and trust (Tabl1e).The positive skew may be related to literary texts
having high positive emotional content. Yet, it is essential to acknowledge that linguistic factors
may in昀氀uence this bias, as languages can exhibit inherent positivity [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]. Such biases can stem
from cultural norms, semantic sectioning of the world, etc. Note, however, the high standard
deviation in joy and trust, indicating that books in our corpus vary in terms of these emotions
(Table1).
        </p>
        <p>When directly correlating emotions with valence, we 昀椀nd the most signi昀椀cant negative
correlation between valence and fear. This correlation suggests that VADER assigns lower
sentiment scores to novels with higher intensities of fear, aligning with the expectation that fear,
a negative emotion, would exhibit a stronger negative correlation with the overall sentiment
analysis (Fig. 3). The opposite is true for joy, and most other emotions correlate with the
corpus’ overall valence in an expected way: trust and anticipation are positively correlated with
valence, while anger, disgust, and sadness are negatively correlated (F4ig).. These 昀椀ndings
indicate a convergence between the sentiment analysis and emotion analysis. However,
certain complex emotions, such as anticipation, trust and surprise, exhibit lower correlations with
valence (Table1), suggesting divergence from what is captured the VADER annotation. These
emotions are less intuitively and clear-cut positive or negative, which may contribute to the
weaker correlation, why they may not be adequately captured via valences.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Emotion Arc Dynamics</title>
        <p>The analysis of the Hurst exponent of sentiment and emotion arcs reveals clusters in
similar areas, suggesting a degree of interrelation between the Hurst exponent of sentiment and
emotion arcs (Fig. 5). The overlap indicates that using emotion pro昀椀ling enables a nuanced
understanding of the development of di昀erent emotional tones within the narratives, where
VADER provides a more generalized and less transparent representation of the novels’
“prismatic” internal dynamics. Looking at the distribution of Hurst exponent of titles in our corpus,
we 昀椀nd that, tendentiously, surprise, anticipation and disgust cluster slightly below or at the
distribution of the Hurst based on valence (“Hurst” in Fi5g)., while the remaining emotions
cluster slightly above it. All distributions of Hurst based on emotion arcs are signi昀椀cantly
smoother with longer tails than that based on valence.</p>
        <p>Speci昀椀cally, we see a tendency of the Hurst based on surprise being slightly lower and
exhibiting a slightly di昀erent distribution than, e.g., fear and joy, at an average 0.57 (Tab1le,Fig.
5). Note that the standard deviation is high (0.07), so that this di昀erence should be regarded a
tendency only, but may align with our intuition that it is easier to envision more progressive
and linear increases or decreases in, e.g., joy than in surprise values – an emotion that may
peak “surprisingly”.</p>
        <p>In sum, the dynamics of each individual emotion arc may o昀er a complex picture of a novel’s
progression, while the Hurst exponent of valence-based arcs o昀ers a general outline that is
more correlated to the Hurst of more clear-cut emotions like fear and joy 6(F).ig.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Manual Annotations of Emotion Arcs</title>
        <p>To further assess the reliability of our emotion-based annotation, we inspected arcs of novels
that showed strong values of HurstT:he Old Man and the Sea by Ernest Hemingway, which
has one of the lowest Hurst exponents for joy in our corpus, as wellAaPsortrait of the Artist
as a Young Man by James Joyce, which has one of the highest Hurst exponents for fear in our
corpus. Fig. 7 shows our manual annotation of the correspondence of narrative events with
emotion arcs in Hemingway’sThe Old Man and the Sea. Note that peaks in fear and joy seem
to co-occur in this novel. While this may appear puzzling, our inspection con昀椀rms that this
co-occurence of positive and negative emotions actually illustrates a central characteristic of
Hemingway’s prose style and the story overall: even in moments of crisis, Hemingway’s
protagonist continues to re昀氀ect on his love for the sea and on natural beauty, leading to complex
feelings and contradictory emotional intensities in key scenes – love and hatred, fear and
admiration (see, i.a., box 7 in Fig.7). Such complexity is also re昀氀ected in the protagonist’s character:
his hardships and endurance, but essentially optimistic outlook on life.</p>
        <p>Emotion arcs in James Joyce’sA Portrait of the Artist as a Young Man parallel Jockers22[]
valence-based arc of the same novel through the Syuzet package and human annotation, which
has been called a “man in the hole” shape, with one central cris3is.</p>
        <p>
          Here, only predominantly negative emotions are elevated in the main rise, and intensities
of joy and fear do not co-occur as in Hemingway’s prose (cf. Fi7g).. The more independently
developing arcs are re昀氀ected in more varied Hurst exponents in thPeortrait, which is among
the top 50 books in our corpus with the highest standard deviation between their emotion
arcs’ Hurst exponents. In thePortrait, the Hurst of the negative emotions anger, fear, and
sadness is &gt; than 0.9, while the Hurst of anticipation, joy, and trust hovers around 0.8. The
three negative emotions exhibit a clear and steady rise and decline around the central crisis.
As the Hurst exponent measures persistence, i.e., whether increases are followed by increases
or decreases by decreases, a very high Hurst exponent here adequately indicates the slow rise
and decline of negative emotions. Arcs of positive emotions are less persistent but still exhibit
more persistence than, for example, the arc of surprise, which here has a Hurst exponent of
0.58 and appears mean-reverting (cf. pink line in Fig8.). Overall, the Hurst based on valence
for the Portrait is 0.71, a value that may represent the average dynamics of various emotion
arcs, and which does not capture the subtle but distinct di昀erence between trends in positive
and negative emotion arcs in the novel.
3Cf. Note that emotion arcs do not appear to show the ringing artifacts, the arti昀椀cial positive trend in the beginning
in Jockers [20], connected to Syuzet’s low-pass 昀椀lter (cf. Swa昀ord [
          <xref ref-type="bibr" rid="ref45">48</xref>
          ]).
        </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion and Future Works</title>
      <p>Our analysis of the distribution of emotion intensities and Hurst exponents based on
emotionand sentiment arcs suggested that more valences subsume diverse emotional interactions.
Some emotions are expectedly correlated to valence, while less clear-cut emotions like
surprise seem to be less captured by valence annotation, and the Hurst of their arcs less correlated
to that of the valence-based arc. Moreover, some emotion arcs, like surprise, are on average less
persistent, and some, like fear, more persistent than valence-based arcs, which suggests that we
may get a more nuanced understand the internal dynamics of novels, including progressions
of emotions less clearly positive or negative, by analysing the Hurst of various emotion arcs.</p>
      <p>Our inspection of individual titles suggested that the emotions and sentiments expressed
in the text are not such that are explicitly felt by characters, nor transparently transmitted to
readers. Rather, they are emotional textures narratives, from which the readers may derive
complex (reading) experiences. The the co-occurrence of peaks in emotion arcs as seen in the
case of Hemingway, as well as the di昀erence between the Hurst exponents of emotion arcs
as seen in the case of Joyce is not trivial, as it tells us something important about plotting
narrative arcs in general: namely, thastentiment valence does not stand in direct relation
to plot and narrative events, but rather subsumes trends in emotion evocation that pertain to
both style and events. In other words, when plotting arcs based on emotions we are observing
trends in a narrative event-style continuum, that is less well captured by valence annotation.
In the future, we suggest studying the dynamics of emotion- and sentiment-based arcs closely,
seeking to assess arc dynamics at both a local and global level, as well as linking represented
emotion to the actual reader experience and appreciation.
[15]
[16]</p>
    </sec>
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