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        <article-title xml:lang="en">&lt;bold&gt;Relation-Aware and Constraint-Guided Discrete Diffusion for Design Color Scheme Generation&lt;/bold&gt;</article-title>
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              <surname>Liu</surname>
              <given-names>Mengyu</given-names>
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          <email>daimou971231@naver.com</email>
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            <name name-style="western" specific-use="primary">
              <surname>He</surname>
              <given-names>Qiao</given-names>
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          <email>qhe856006@gmail.com</email>
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        <institution content-type="orgname">College of Art and Design, Beijing city university, Beijing, China</institution>
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        <day>28</day>
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        <year>2026</year>
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          <event-desc>Received: <date date-type="received" iso-8601-date="2026-08-21T06:21:01+00:00"><day>21</day><month>8</month><year>2026</year></date></event-desc>
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        <copyright-statement>Copyright (c) 2026 Mengyu Liu, Qiao He (Author)</copyright-statement>
        <copyright-year>2026</copyright-year>
        <copyright-holder>Mengyu Liu, Qiao He (Author)</copyright-holder>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0">
          <license-p>&lt;a rel="license" href="https://creativecommons.org/licenses/by/4.0/"&gt;&lt;img alt="Creative Commons License" src="//i.creativecommons.org/l/by/4.0/88x31.png" /&gt;&lt;/a&gt;&lt;p&gt;This work is licensed under a &lt;a rel="license" href="https://creativecommons.org/licenses/by/4.0/"&gt;Creative Commons Attribution 4.0 International License&lt;/a&gt;.&lt;/p&gt;</license-p>
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        <kwd>Color collocation generation; Discrete diffusion model; Relation-aware coding; Constraint guided denoising; Design usability assessment</kwd>
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    <p>
    
    Relation-Aware and Constraint-Guided Discrete Diffusion for Design Color Scheme Generation
    
    
    
        Siyuan Xie1
        
            
                
                
            
        
        , Qiao He2*
        
            
                
                
            
        
    
    
    
    
        1 School of Music, Guangzhou Xinhua University, Guangzhou, China
        2 College of Art and Design, Beijing City University, Beijing, China
    
    
        * Corresponding author: Qiao He. Email: qhe856006@gmail.com
    
    
    
    
        Journal of Discovery Core 2026, Vol. 1, No. 2, pp. 80-109
        DOI: 10.67541/jdc2610
        Received: 21 August 2026; Revised: 23 September 2026; Accepted: 18 October 2026; Published: 28 October 2026
    
    
    
    Abstract
    
        &lt;p&gt;The color collocation of the design scheme should meet multiple constraints such as functional semantics, visual harmony, accessibility and style consistency at the same time. The existing rule template, image extraction and condition generation methods have structural contradictions between constraint controllability and combination diversity, and the color relationship is always outside the generation process, only for post-output screening. In this paper, the problem is formulated as a sequential decision problem of discrete color combinations under multiple constraints, and the relation-aware diffusion generation framework ColorRel-Diff is proposed. The discrete color token sequence is used as the generation unit, and the mask discrete diffusion is used to make each denoising step explicitly masked discrete diffusion. The color relationship coding module is constructed, and the harmony and contrast relationships are encoded as the edge features of the relationship graph and aggregated into the relationship perception embedding through the graph attention. A constraining-guided denoising mechanism is designed to guide the sampling trajectory by the gradient of relational consistency score, and the feasibility mask is used to impose inviolable token-level restrictions on the hard constraints, and the grading softening strategy is used to deal with constraint conflicts. A three-layer inspection system of distribution level, constraint level and design availability level is constructed, and experiments and ablation are carried out on the basis of increasing constraint strictness. The results show that the proposed method occupies a Pareto-dominant position in the diversity-harmony plane, and the satisfaction rate of accessibility hard constraints remains above 95% under pressure, which is significantly better than the baseline without explicit modeling constraints. The ablation confirms that relational coding and constraint guidance dominate the gains of harmony and constraint compliance respectively.&lt;/p&gt;
    
    
    
    Keywords
    
        Color collocation generation
        Discrete diffusion model
        Relation-aware coding
        Constraint guided denoising
        Design usability assessment
    
    
    
    References
    
        
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            Kim, B., Lee, G., &amp;amp; Suk, H. J. (2026). Color adjustment of brand logos for dark mode display. PLoS One, 21(1), e0339392. DOI: 10.1371/journal.pone.0339392
            Zhou, X., Xiao, C., Yoon, S., &amp;amp; Zhu, H. (2026). The color of status: color saturation, brand heritage, and perceived status of luxury brands. Journal of Consumer Research, 52(6), 1232-1252. DOI: 10.1093/jcr/ucaf029
            Zhang, H., Song, H., Li, S., Zhou, M., &amp;amp; Song, D. (2023). A survey of controllable text generation using transformer-based pre-trained language models. ACM Computing Surveys, 56(3), 1-37. DOI: 10.1145/3617680
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            Fayomi, A., Majeed, R., Algarni, A., Akhtar, S., Jamal, F., &amp;amp; Nasir, J. A. (2022). Forecasting tennis match results using the Bradley‐Terry model. International Journal of Photoenergy, 2022(1), 1898132. DOI: 10.1155/2022/1898132
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        &lt;p&gt;© 2026 The Author(s). Published by Digital Intelligence Press Limited. This is an open access article under the CC BY 4.0 license.&lt;/p&gt;
        &lt;p&gt;How to cite: Xie, S., &amp;amp; He, Q. (2026). Relation-Aware and Constraint-Guided Discrete Diffusion for Design Color Scheme Generation. Journal of Discovery Core, 1(2), 80-109. https://doi.org/10.67541/jdc2610&lt;/p&gt;
    
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