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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Quantitative Framework for Word-Color Association and Application to 20th Century Anglo-American Poetry</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sungpil Wang</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Juyong Park</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Graduate School of Culture Technology (GSCT), Korea Advanced Institute of Science &amp; Technology (KAIST)</institution>
          ,
          <addr-line>Daejeon</addr-line>
          ,
          <country>Republic of Korea</country>
        </aff>
      </contrib-group>
      <fpage>589</fpage>
      <lpage>609</lpage>
      <abstract>
        <p>Color symbolism is considered a critical element in art and literature, yet determining the relationship between colors and words has remained largely subjective. This research presents a systematic methodology for quantifying the correlation between language and color. We utilize text-based image search, optical character recognition (OCR), and advanced image processing techniques to establish a connection between words and their corresponding color distributions in the CIELch color space. We generate a color dataset based on human cognition, and apply it for analysis of the literary works of poets associated with Imagism and Black Arts Movements. This helps uncover the characteristic color patterns and symbolic meanings of the movements with enhanced objectivity and reproducibility in literature research. Our work has the potential to provide a powerful instrument for a systematic, quantitative examination of literary symbolism, filling in the gaps in prior analyses and facilitating novel investigations of thematic aspects using color.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Word Color Association</kwd>
        <kwd>Digital Humanities</kwd>
        <kwd>Distant Reading</kwd>
        <kwd>Semantic Analysis</kwd>
        <kwd>Lexical Relationship</kwd>
        <kwd>Lexical Discovery</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Color symbolism in art, literature, and anthropology refers to the use of colors as symbols
in various cultural contexts [
        <xref ref-type="bibr" rid="ref14">13</xref>
        ]. This efect is particularly pronounced in literature, where
colors assume roles that extend beyond being mere background elements. Researchers have
deeply investigated the application of colors in texts and their significance in literary works.
For instance, Andreeva [1] examines Stephen King’s ”Rose Madder” to show how color
depicts characters’ emotional and psychological states, providing nuanced moral or
philosophical implications. Mukhitdinovna 4[8] explores the linguistic aspects of color symbolism in
novels, highlighting how color characterizes objects, social attitudes, and moral concepts. This
indicates that colors convey complex meanings rather than simply serve as decorative
elements. By choosing specific colors, authors can emphasize emotions or concepts related to
the story’s theme, making color an essential tool for literary expression. Additionally, color
reflects cultural, historical, and practical meanings [
        <xref ref-type="bibr" rid="ref33">32</xref>
        ]. Polshchykova and Polshchykova [52]
demonstrates how color in works from various races and cultures illustrates the diversity and
complexity of American culture, showing the colors’ diferent meanings in diferent contexts.
These studies explore the intricate circumstances surrounding the use of color, linking literary
works to the external environment. Furthermore, Underwood6[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] reviews the growing
importance of color terminology in literature from the 18th to the early 20th centuries, highlighting
how the trend has intensified over time. This evolution indicates a transition from
theoretical descriptions to tangible depictions, with an emphasis on sensory details. It signifies the
increasing focus on sensory portrayal in writings as a means to mirror shifts in society and
culture. The heightened use of color underscores its ability to enhance narrative complexity
and emotional depth, making this aspect increasingly significant in modern literary analysis.
To summarize, color symbolism is an important literary technique that enriches the intricacy
of literary works, enabling readers to engage more profoundly with the text. This technique
has become more prominent in modern times; This amplifies the visual, emotional, cultural,
and societal significance of literary works, both inside the text itself and in a wider context.
      </p>
      <p>
        Color representation in literary works is generally executed in two forms: Directly
describing color using adjectives associated with certain hues5[
        <xref ref-type="bibr" rid="ref6 ref66">6, 67</xref>
        ] or indirectly evoking a
particular color through noun imagery [
        <xref ref-type="bibr" rid="ref64">65, 33</xref>
        ]. Researchers encounter two obstacles when assigning
color to specific phrases for analysis: First, term-image linkage is subjective. The researcher’s
common-sense perception, which depends on “objectivity and universality,” as expected by the
researcher, is frequently used to determine the associated colors of nouns2[
        <xref ref-type="bibr" rid="ref26 ref6">6, 25</xref>
        ]. For instance,
a researcher might define a tree as green, expecting readers to accept this without question. But
there cannot be a one-to-one correlation between words and colors6[], and research findings
could be biased by participant assignments, casting doubt on objectivity and cross-cultural
generalization; Second, traditional humanities methods of the study of color symbolism have
shown consistent limitations. Prior research, which can be called ‘close reading’ studies,
frequently analyzes color based on a small number of terms and their subjectively assigned colors.
Critics point out that this approach, which seeks to comprehend the entire structure through
specific incidents, falls short of understanding the larger literary context [
        <xref ref-type="bibr" rid="ref47">47</xref>
        ]. Over-reliance
on a limited number of noteworthy color examples may impede a thorough comprehension of
the role of color in literature. Current color studies are restricted to counting direct color
depictions [
        <xref ref-type="bibr" rid="ref54 ref66">56, 67</xref>
        ], even when employing ‘remote reading’ techniques. Researchers still have to
categorize the images and colors that phrases represent, the subjectivity issue with matching
terms and pictures notwithstanding. However, one-to-one bonds between pictures and terms
are often deemed the most practical, though tagging all vocabularies is a daunting task due to
time requirements and the possibility of human errors or omissions1[
        <xref ref-type="bibr" rid="ref9">0, 9</xref>
        ].
      </p>
      <p>Through an intuitive use of massive imagery data, this study makes concrete the hitherto
ambiguous relationships between words and colors that were previously limited to the
conceptual realm. These data show the word-color associations that reflect real-world human
cognition and color perception, and the associations are quantified via generalized
distributions in the color gamut. Words and pictures are correlated through a search platform, and
these images are translated into a color system aligned with human visual perception. The
color concept is then used to partition the color space and represent the picture as a
distribution of familiar colors. These distributions are cross-examined on a general level to express
how strongly each color corresponds to the target term, providing a quantitative relationship
between words and colors that reflects human ideas and perceptions. By assigning colors to
words in a data-based objective manner, we provide a framework that identifies various
colors associated with words within a general frame of perception and expresses the relevance
quantitatively. This methodology is then applied to the complete works of Anglo-American
Imagist poet and Harlem Renaissance poet. Since the entire oeuvre published by a poet
constitutes their world of poetry, and an individual poem consists of the intentional arrangement
of terms, with each possibly expressing multiple colors, colors can be said to form a complex
relationship with poetry. Analyzing the multi-layered structure to discover patterns or groups
of colors used by the poet can quantitatively characterize the poet’s literary universe from the
perspective of color symbolism. Via this process, we can hope to conduct a distant reading
study on the colors in a large literary corpus and demonstrate its potential for new symbolism
studies.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>
        Recent years have witnessed the advancement of quantitative frameworks for modeling and
analyzing large-scale heterogeneous data, extending their scope to the field of liberal arts [
        <xref ref-type="bibr" rid="ref18 ref46 ref5">46,
5, 17, 8</xref>
        ]. Researchers are not only using traditional cultural study methodologies but also
attempting the application of statistical tools to cultural data 6[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. These approaches enable a
comprehensive examination of extensive text and image data, along with intricate metadata,
offering additional parameters that complement personal readings of humanities resources with
objective and quantitative features [
        <xref ref-type="bibr" rid="ref44">44, 36</xref>
        ]. Technological progress has made it possible to
objectively depict universal human concepts, allowing for new methods to explore abstract
topics such as color symbolism. As a result, numerous eforts have been made to comprehend
the correlation between words and colors. These can be classified into three main types: First,
creating a word-color dataset by giving predetermined terms to participants in surveys and
collecting their replies on the corresponding colors. This endeavor has been motivated by the
limited availability of databases that match colors and phrases2[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], occasionally utilizing
gamification elements to stimulate data gathering [
        <xref ref-type="bibr" rid="ref34">35</xref>
        ]; Second, using natural language processing
techniques to assign colors to words that are not directly color-related by analyzing the
surrounding terms tied to color expressions. Contextual reflection, aided by semantic embedding,
allows for the quantification of the relationship between text and color at a level that does
not involve images, using surrounding words to recognize color illustrations50[
        <xref ref-type="bibr" rid="ref23">, 22</xref>
        ]; Third,
although there are studies pairing terms and pictures using search engine results, they simply
use the RGB color space, forcing researchers to manually assign colors to visuals5[0]. While all
these strategies use statistical procedures to allocate color compositions to words in the form
of ratios (weights) of colors, they do not specifically depict the relationship between the term
and the visuals it represents: they instead either use text or surveys, or directly assign images
to terms, with only a few people manually and subjectively partitioning and naming colors
within the color space. Some even restrict the composition of a word to an arbitrary number
of colors.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <p>We aim to establish a quantitative and set workflow linking words and colors, and then apply it
to textual data. A series of steps is necessary to assign color compositions to a word. We start
by obtaining images representing the given word and extracting the color values from each
pixel of the images. Next, the word can be said to be represented by the pixel values. Then we
compare the composition with that of general words to determine which colors are statistically
overrepresented that can then said to be characteristic of the given word. We later demonstrate
this methodology on a corpus of Anglo-American poets as an example of ‘objective’ research
in color and literature.</p>
      <sec id="sec-3-1">
        <title>3.1. Word to CIELch List Conversion</title>
        <p>Our goal is to represent a word using color values that reflect general human cognition more
accurately. To achieve this, we use Google Image search to concretize a word into multiple
images for enhanced statistical confidence and then convert the image pixels into the CIELch
color space, known for reflecting true human color cognition better than the simple RGB color
space. The procedure is illustrated in Figure1.</p>
        <sec id="sec-3-1-1">
          <title>3.1.1. Word to Image</title>
          <p>
            We further combine the power of text-based image search with image analysis techniques. The
main idea of this approach is that the colors inherent in a concept are statistically predominant
in pictures indexed in relation to the word explaining that concept5[0]. To utilize pictures
reflecting human expectations for any given word, we use Google’s image search. This modern
lookup engine provides access to illustrations uploaded and tagged by numerous users. We
designate one screen filled with images arranged in order of relevance to the word by the
algorithm as the representative image set for the word. The search, scrolling, counting images,
and taking screenshots are performed on the Selenium web browser automation library in
Python [
            <xref ref-type="bibr" rid="ref61">62</xref>
            ]. Subsequently, resizing is performed to represent a word as a set of10,000 pixels.
As a result, an arbitrary word (search term) is represented by a screenshot uniformly resized
to 10,000 pixels.
          </p>
          <p>
            Google Search Google’s search algorithm, which connects terms and pictures, evolved from
the PageRank system that evaluates webpage importance by analyzing link structure. If many
users access an image when searching for a specific word, the image is considered highly
relevant. Studies have used Google search to correlate language and universal illustrations,
supporting the relevance of visuals returned for specific texts [
            <xref ref-type="bibr" rid="ref68 ref70">34, 69, 71</xref>
            ]. Google’s search engine
has improved by integrating image information, user preferences, feature extraction, and text
annotation [
            <xref ref-type="bibr" rid="ref31 ref67">68, 30</xref>
            ], strengthening the relationship between input text and resulting images
[
            <xref ref-type="bibr" rid="ref30 ref49">49, 29</xref>
            ]. Therefore, using Google’s search engine is efective for linking terms and pictures.
Empirically, we found that some words either have few images or mostly text images. If fewer
than 30 pictures are found or more than three out of the first ten contain text, the word is
assumed to lack associated images. Pytesseract, a Python library with OCR capabilities, is used
to quickly recognize text within images [
            <xref ref-type="bibr" rid="ref25">24</xref>
            ].
          </p>
          <p>Capturing Images When a word is probed, pictures typically related with that term are
displayed in order of relevance on one screen. We use screenshots to capture the benefits of
algorithms that apprehend human concepts while extending the scope of their universality. This
allows us to construct representative illustrations for words while capturing multiple highly
relevant images with minimal storage. All screenshots are taken after scrolling down 15% of
the screen to exclude website logos, search bars, and toolbars.</p>
          <p>
            Resizing Images We use Python’s Pillow library to resize images [
            <xref ref-type="bibr" rid="ref1">7</xref>
            ]. Reducing the number
of pixels to be processed allows for a quicker link between words and colors while maintaining
color distribution. The resize method in the Pillow library uses High-LANCZOS and
Antialiasing filters to efectively preserve the color distribution of the original image while minimizing
jaggies [
            <xref ref-type="bibr" rid="ref12">11</xref>
            ]. The LANCZOS filter, a resampling technique, maintains color distribution and
detail by handling high-frequency components, while the Antialiasing filter smooths the pixel
boundaries in the reduced image to minimize visual distortion. These two filters efectively
preserve the color distribution of the original image.
          </p>
        </sec>
        <sec id="sec-3-1-2">
          <title>3.1.2. Images to CIELch Color List</title>
          <p>
            The image’s pixel colors are converted from the RGB into the CIELch color space that takes into
account the features of human visual perception. In order to accurately measure the color
composition of a term represented by the10,000 pixels, it is necessary to know the precise location
of each pixel inside the color space. Our image processing involves utilizing the scikit-image
package to transform the RGB color values of every pixel into CIELch. The CIELch color space
is a polar coordinate representation of the CIELAB color space, which was devised by the
International Commission on Illumination (CIE) in 1976 with the intention of creating a color space
that is perceptually uniform [
            <xref ref-type="bibr" rid="ref56 ref60">61, 57</xref>
            ]. The color system defines colors in terms of chroma ∗
and hue ℎ∗ while preserving the lightness ∗ value of CIELAB. By transforming CIELAB color
space into polar coordinates, it becomes possible to comprehend and control colors in a more
instinctive manner. This approach highlights disparities in both hue and saturation, enabling
precise color comparison and analysis that aligns with human perception. This color space
represents the entire range of human’s photopic (daylight) vision and provides a comprehensive
framework for color representation that closely matches how colors are perceived in real life.
Consequently, every pixel is located in the CIELch color space using a specific combination of
(, , ℎ) values. Thus a word, via an image, translates to10,000 (, , ℎ) color space coordinates.
          </p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Removal of Grids</title>
        <p>A resized screenshot contains images associated with the target word separated by white spaces
that need to be removed in principle, as they are not related to the visual representing the term.
The white spaces are diferent in each screenshot, and the detection is computation intensive,
making it impractical to perform it for every screenshot. For efÏciency therefore we calculate
the general total area of the white space in sample screenshots by choosing100 random content
words and counting the average number of pixels with = 100 (the brightest white). We then
discount this number of white pixels from the screenshots.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Establishing Color Standards</title>
        <sec id="sec-3-3-1">
          <title>3.3.1. Selection of Basic Colors and Method of Color Composition</title>
          <p>
            Basic Color Terms As the hue parameter of the colors of words, we use the11 Fundamental
Color Terminologies that are generally employed across various civilizations2[]. The color of
a certain word is a composite blend of multiple hues, rather than a singular color. Thus, to
faithfully depict colors, we take into account both the hue and luminance of the visual that
represents the term, assigning chromatic and achromatic compositions to the word. Excluding
Brown, which traverses both chromatic and achromatic 5[
            <xref ref-type="bibr" rid="ref4">4, 37</xref>
            ], we select Red, Yellow, Blue,
          </p>
          <p>
            Orange, Green, Purple, Pink, White, Grey, and Black as representative colors. These
representative colors include both Primary and Secondary Colors and have been typically recognized
as major colors in art and design since the 17th century 5[
            <xref ref-type="bibr" rid="ref15 ref16">8, 14, 15</xref>
            ].
          </p>
          <p>
            Use of Color Synonyms To determine a more accurate and reliable color profile of the
named colors, we also consider their alternative names (synonyms) from the Oxford American
Writer’s Thesaurus (OAWT), creating a color standard that reflects broad cultural and
linguistic contexts. This standard is established by using the color values of collected color terms,
reflecting the universal expectations that representative colors hold as linguistic concepts. The
OAWT is an extensive and globally recognized reference, regularly updated with the most
recent evidence and research, making it a reliable benchmark [
            <xref ref-type="bibr" rid="ref53 ref58">59, 55</xref>
            ] with an easy accessibility
as a free component of the Apple Operating System. Using diferent linguistic expressions for
one color allows for a more realistic and precise setting of the universal range for that color.
By utilizing linguistic variations of the basic colors, we robustly set the categories for the
basic colors while clearly reflecting the general concepts surrounding them. Including various
linguistic expressions for each color in the standard is a practical method for linking language
and color. Thus, we search for four synonyms for each core color term through the dictionary
and use them additionally to create specific color distinctions that correspond to people’s
perceptions. The basic color terms and their synonyms are listed in Table1. The list of five words
representing one color is each converted to a CIELch list and merged into one, allowing for
duplicates. The combined basic color list is used to distinguish it from other colors as the color
value representing that color. For example, the basic color list for red is created by merging the
CIELch lists of “red,” “scarlet,” “vermilion,” “ruby,” and “carmine,” and it is distinguished from
the basic color lists of the other nine colors created in the same way. This process is illustrated
in Figure 2.
          </p>
          <p>Chromatic and Achromatic Colors Three achromatic and seven chromatic hues make up
the ten fundamental color names. Our objective is to concurrently capture multiple diferent
hues that a word evokes, not merely a single hue. It makes it possible to express a phrase from
both chromatic and achromatic perspectives using the CIELch color space, which includes both
hue and lightness. Hue information links words to the seven chromatic colors, while lightness
information links to the three achromatic colors. We use seven basic color lists to divide the
hue into seven parts and three arrays to divide the lightness into three parts.</p>
          <p>Chromatic Colors Hue identifies a color’s exact location on the color wheel, represented
numerically from 0.0∘ to 360.0∘. We partition this plane into seven sections, assigning each
core color term to a section. The basic color list, merged from five arrays, is expressed as a
histogram for hue values. Each chromatic color is depicted as a distribution, showing its range
within the hue at a general perception level.</p>
          <p>Achromatic Colors Lightness indicates how bright or dark a color is, expressed as a
value between 0.0 and 100.0 in the CIELch space. We divide this range into three sections for
the achromatic colors. Using histograms, we determine the range for each achromatic color
within lightness at a general perception level.</p>
          <p>
            We apply a smoothing algorithm to the histograms to represent them as curved
distributions. The rolling mean helps mitigate noise and emphasize trends and continuity to ensure
the distribution represents the population. We use the rolling method from the Python library
pandas, calculating the average of ten data points at a time [
            <xref ref-type="bibr" rid="ref63">64</xref>
            ]. This process transforms the
histograms into smooth distributions. If multiple colors share a specific hue or lightness range,
the predominant color takes precedence in practice.
          </p>
        </sec>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Color Allocation</title>
        <p>Once the intervals for the basic colors are determined, we can represent a word with a CIELch
list and its color composition. As depicted in Figur3e, we use the ℎ values from the CIELch list
to express the word in terms of the proportions of the seven chromatic colors and th e values
to express the proportions of the three achromatic colors. Each term can thus be described by a
pair of chromatic and achromatic proportions, reflecting the visual diversity of the target term.
Additionally, by comparing these color compositions to those of general words, we can use
the  -score to express which colors are emphasized in the target word, enhancing statistical
confidence in the word-color association.</p>
        <sec id="sec-3-4-1">
          <title>3.4.1. Wildtype</title>
          <p>
            After describing a word with colors and their proportions, it is crucial to determine how much
it difers from a typical, average word. This is similar to the biological notion of ”wildtype,”
which describes the mean genotype or phenotype [
            <xref ref-type="bibr" rid="ref3">3</xref>
            ]. This functions as the baseline state in
statistical analysis. Using the -score, we can analyze the tie between a word and its colors by
comparing the word’s color composition to the wildtype.
          </p>
          <p>
            To create a reference wildtype dataset, we employ the WordNet interface from the NLTK
toolkit [
            <xref ref-type="bibr" rid="ref4">4</xref>
            ]. WordNet is a comprehensive database classifying semantic relationships between
words in English [
            <xref ref-type="bibr" rid="ref45">45</xref>
            ]. Using this approach, we randomly obtain a collection of100 content
phrases with their accompanying photos. Each word is converted into CIELch lists and
allocated a proportionate composition for the10 colors according to the agreed-upon color
standards. And, we compute the -scores for the color composition ratios of each word, evaluating
how much a word highlights colors compared to the wildtype. However, discrepancies in the
distribution of colors can compromise the reliability of statistical analysis. To address this,
By utilizing the Yeo-Johnson transformation to standardize color composition ratio7s0[], we
enhance the precision of the Z-score calculation, resulting in a more reliable study of the
relationships between words and colors. This transformation can be performed using the
’PowerTransformer’ module from the ’sklearn’ package [
            <xref ref-type="bibr" rid="ref51">51</xref>
            ]. This method decreases variation in
color composition and improves the accuracy of statistical analysis. By establishing a
connection between a random word and its visual representation, expressed as color values, and
building overarching color standards using color terminology and visual representations, we
examine the distribution of colors in a word and compare it to a reference group. This helps
ascertain whether it emphasizes specific colors more than average terms, providing a
quantitative demonstration of the associations between specific words and colors in universal human
perception.
          </p>
        </sec>
      </sec>
      <sec id="sec-3-5">
        <title>3.5. Application</title>
        <p>As an application of our method of word-color association, we have chosen to study Imagism
and the Harlem Renaissance, two prominent movements in Anglo-American literature.
Imagism, an early 20th-century literary movement, is known to emphasize the utilization of vibrant
and precise imagery and concise language, giving significance to visual and intuitive modes
of communication. In contrast, Harlem Renaissance utilizes written literature as a method
to emphasize African American identity and cultural confidence, efectively conveying social
and cultural messsages. This study seeks to evaluate the significance of color usages in the
literary realms of these movements and poets, showcasing a quantitative analysis of literary
works from a color-centric viewpoint. By employing this methodology, we hope to explore the
possibility of new directions in the study of color use.</p>
        <sec id="sec-3-5-1">
          <title>3.5.1. Data Collection and Preprocessing</title>
          <p>
            Our choice of Imagist poet is Amy Lowell, while our selected Harlem Renaissance poets is
Georgia Douglas Johnson. The works were compiled from their whole poetic world, or in
instances where the total collected works were not accessible, specific poetry collections were
combined. The collections were compiled from Project Gutenberg and freely distributed PDFs,
as summarized in the Table 2. We employed OCR (Optical Character Recognition) technology
[
            <xref ref-type="bibr" rid="ref59">60</xref>
            ], namely the image-to-text function of the Tesseract package [
            <xref ref-type="bibr" rid="ref25">24</xref>
            ], to extract tex from the
PDFs. Subsequently, we conducted data preparation on the text utilizing the pandas and NLTK
tools in Python [
            <xref ref-type="bibr" rid="ref4">4</xref>
            ]. The initial steps were eliminating stopwords, special characters, and
numerical values, and converting all uppercase letters to lowercase in the gathered text corpus
for each poet, followed by lemmatization to convert words to their base or root forms.
          </p>
        </sec>
      </sec>
      <sec id="sec-3-6">
        <title>3.6. Network Construction and Analysis</title>
        <p>The oeuvre of a poet is their creative universe, with each poem comprising words that evoke
various chromatic images. To understand the significance of colors in poetry, it can be helpful
to elucidate the connections among artistic aspects, language, and colors as a network structure.
By examining this structure and identifying patterns or clusters of colors used by the poet, we
gain a quantitative comprehension of their work in terms of color symbolism. This examination
reveals concealed significances and patterns in the poet’s use of colors.</p>
        <p>Building Process We establish a tripartite network connecting the works, words, and colors
of each poet as separate node groups. A work is linked to every word it contains, and each word
is linked to corresponding colors based on th e -scores. The relationships between works
and words are determined by frequencies, while ties between vocabularies and visuals follow
the aforementioned guidelines for assigning color compositions. This forms the basis of our
method for analyzing a poet’s works via color symbolism.</p>
        <p>Analysis The principles for ascertaining color compositions were applied to every phrase in
the complete works of each poet. To identify the primary colors in the poet’s literary universe,
we made the projection to reduce the tripartite network into a bipartite network connecting
works and colors. Our objective was to assess the importance of colors and identify the most
significant ones in each poet’s oeuvre. By transforming the network, we characterize the poet’s
works from a color-oriented viewpoint and compute the centrality – network-based measure
of importance – of each hue.</p>
        <p>In a tripartite network, we define artworks (titles of artworks) as  , words as  , and colors
as  . The edges between  and  are determined by frequency, and the edges between
and  are weighted by  -score. The process of projecting the artwork-word-color tripartite
network into an artwork-color bipartite network is as follows:
  = ∑   ⋅</p>
        <p>∈
where:
•   is the weight between artwork  and color .
•   is the frequency between artwork  and word .
•   is the Z-score between word and color .</p>
        <p>•  ∈  denotes the sum over all words included in artwork .</p>
        <p>
          We apply the Birank random-walk-based algorithm to the resulting four works-color
bipartite networks to calculate centrality [
          <xref ref-type="bibr" rid="ref24">23</xref>
          ]. This algorithm ranks nodes by considering the
network topology of both classes, minimizing information loss during successive projection
processes. Diferences in color centrality between poets can be used to compare the influence
of colors chosen by poets in constructing their poetic worlds.
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results and Discussion</title>
      <sec id="sec-4-1">
        <title>4.1. Color Standards and Intervals</title>
        <p>As shown in Figure 5, the distribution of each of the seven chromatic colors is represented in
terms of hue, and the distribution of each of the three achromatic colors is represented in terms
of lightness. The area of each color distribution is smoothed based on the histograms of the
hue values of 50 000 pixels representing five words for each color, so the areas are equal. If
diferent distributions meet at a point, that point becomes the boundary separating the colors.
The finalized intervals are detailed in Table 3.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Wildtype</title>
        <p>We selected 100 random content words and applied two procedures. The first is gap removal.
All images of the words are screenshots of small pictures representing the word, with small
gaps between them. We remove these gaps to emphasize the association between words and
colors. The wildtype is then used to determine which colors are overrepresented by a word
based on its color composition. We calculate the mean and standard deviation of the
proportions of each color in100 screenshots.  -scores can be computed based on these values.
Subsequently, the Yeo-Johnson transformation is applied, and Z-scores can be computed based on
the transformed data. The detailed results of these transformation parameters are presented in
the Table 4. These values serve as a baseline to help determine which colors are more prevalent
in a given word compared to others.
White Grids The proportion of pixels with = 100.0 is determined for each random
content word, and the mean is calculated. The proportion of pure white pixels is0.1272. If the
proportion of pixels with = 100.0 in a specific word is less than this mean, all such pixels are
removed. Otherwise, only the equivalent proportion is removed.</p>
        <p>Distribution and Statistics for Each Color Each random content word is converted into
a list of CIELch pairs. These lists are then expressed as proportions of colors according to
the established color standards. Thus, each color is represented by100 such values of
proportion. As shown in Figure4, the distributions and statistics difer by color, so we normalize the
distribution diferences between color proportions and then calculate the mean and standard
deviation for each color. The transformed statistics are used to express the color composition
of the target word as a -score.</p>
        <p>Application to Literary Works We examine the intricate connections of artworks,
language, and hues, and delineate associations between artworks and colors. This enables us
to identify the prominent hues associated with each poet, facilitating our understanding. To
evaluate the importance of colors for each poet, we utilize a threshold on the Z-scores, which
indicate the strength of the correlations between words and colors. Raising the threshold
entails implementing a more stringent criterion for the correlation between words and colors. As
the threshold rises, only colors with strong associations to words are retained in the analysis,
while those with weaker links are omitted. This method emphasizes the predominant hues in
a poet’s work, providing clearer insights into their creative decisions.</p>
        <p>
          In Table 5, the prevalence of specific hues, especially black, intensifies as the threshold
escalates for Georgia Douglas Johnson. At the initial threshold (0.000), where many colors are
evident, black has a prominent place. As the threshold escalates, black becomes progressively
central, and upon reaching a threshold of 2.576, black has a predominant birank value. This
use of color corresponds with the literary framework of the Black Arts Movement, noted for
its focus on Black identity and culture [
          <xref ref-type="bibr" rid="ref17 ref28">27, 53, 16</xref>
          ]. Amy Lowell exhibits a notably broad and
uniform application of color at the initial threshold (0.000). This equitable allocation of color
application corresponds with the tenets of the Imagism movement, which prioritizes
tangible and varied imagery, encompassing both natural vistas and urban environments, to elicit
sensory experiences [
          <xref ref-type="bibr" rid="ref13 ref21 ref22">21, 12, 20</xref>
          ]. As the threshold rises, Lowell increasingly employs white,
underscoring a distinct pattern of color focus in contrast to Johnson.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Limitations and Future Works</title>
      <p>The separation between chromatic and achromatic hues leads to the omission of brown,
potentially limiting detailed color analysis. Maintaining the CIELch space in a three-dimensional
form and assigning intervals could allow more diferentiated colors.</p>
      <p>Nevertheless, our color palette has the potential to accommodate the inclusion of new colors.
Each color is associated with the word and its synonyms, meaning new colors can be expressed
as distributions over the color range and occupy specific intervals. This flexibility allows
researchers to choose a variety of colors of interest to incorporate to the text being analyzed.</p>
      <p>Currently, the network construction recognizes the significance of colors based on their
associations with artworks. Incorporating additional metrics like community detection algorithms
or topic modeling techniques can ofer new insights into the influence of colors within text
networks and their contribution to thematic elements. Identifying clusters of subjects, phrases,
and colors can provide a comprehensive understanding of color symbolism in texts.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>This work is supported by the KAIST Post-Al Research Grant, BK 21 FOUR Program, the
National Research Foundation of Korea (NRF-RS-2023-00245361, NRF-2020S1A5C2A03093177),
and the Culture, Sports, and Tourism R&amp;D Program through the Korea Creative Content
Agency, funded by the Ministry of Culture, Sports, and Tourism in 2024
(KOCCA:RS-202300270043, Contribution Rate: 50%)</p>
      <p>M.-O. Kim. “A study on the color images of Jeong-Ju Seo Midang’s poetry - focusing
on the variation of desires”. Master’s thesis. Seoul: Seoul National University of Science,
Technology, Graduate School of Industry, and Engineering, 2012, pp. iv, 83.
[52]</p>
      <p>O. Polshchykova and A. Polshchykova. “Colour signs-symbols in the artistic discourse
as components of the cultural semiosphere (on the material of the ethnic literature of the
20th-century USA)”. In: Filologičeskie nauki. Voprosy teorii i praktiki 16 (2023), pp. 1194–
1200. doi: 10.30853/phil20230202.
[53] R. J. Powell and D. A. Bailey. Rhapsodies in black: Art of the Harlem renaissance. Univ of</p>
      <p>California Press, 1997.</p>
      <p>Imagism</p>
      <p>Georgia Douglas Johnson
birank
birank
color
color
color
color
birank
birank
color
purple
red
pink
white
blue
black
grey
orange
yellow
green
color
purple
red
pink
black
white
orange
grey
blue
yellow
green
color
red
purple
black
pink
whit
orange
grey
yellow
blue
green
color
red
black
pink
purple
white
orange
yellow
grey
blue
green
color</p>
    </sec>
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