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<meta name="twitter:title" content="The Diffusion Duality">
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<meta name="twitter:description" content="TWITTER BANNER DESCRIPTION META TAG">
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<meta name="twitter:description" content="Unlocking Few-Step Generation in Discrete Diffusion Language Models">
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<meta name="twitter:image" content="static/images/duo_schematic.png">
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<meta name="twitter:card" content="summary_large_image">
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<!-- Keywords for your paper to be indexed by-->
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<meta name="keywords" content="The Diffusion Duality DUO">
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<meta name="keywords" content="The Diffusion Duality DUO Diffusion Language Models">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<!-- ArXiv abstract Link -->
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<span class="link-block">
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<a href="https://openreview.net/forum?id=CB0Ub2yXjC" target="_blank"
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<a href="https://arxiv.org/abs/2506.10892v1" target="_blank"
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class="external-link button is-normal is-rounded is-dark">
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<span class="icon">
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<i class="ai ai-arxiv"></i>
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<div class="container is-max-desktop">
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<div class="hero-body">
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<div style="text-align: center;">
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<img src="static/images/duo_schematic.png" alt="MY ALT TEXT" style="width: 65%; height: auto;"/>
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<img src="static/images/duo_schematic_graphical.png" alt="MY ALT TEXT" style="width: 65%; height: auto;"/>
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</div>
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<h4 class="subtitle has-text-centered">
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An illustration of uniform state discrete diffusion (top) and
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the underlying Gaussian diffusion (bottom). While both are separate Markov processes,
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applying \(\texttt{arg max}\) maps Gaussian latents \(\mathbf{w}_t \in \mathbb{R}^n\) to discrete latents
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\(\mathbf{z}_t \in \mathcal{V}\), transforming their marginals from
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\(\tilde{q}_t(.|\mathbf{x}; \tilde{\alpha}_t)\)
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<!-- ~\Eqn{eqn:gaussian_marginal} -->
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to \(q_t(.|\mathbf{x}; \mathcal{T}(\tilde{\alpha}_t))\)
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<!-- ~\Eqn{eqn:discrete_marginal} -->
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and adjusting diffusion parameters from \(\tilde{\alpha}_t\)
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to \(\alpha_t = \mathcal{T}(\tilde{\alpha}_t)\)
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<!-- ~\Eqn{eqn:coefficient_relation} -->
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.
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\(K\)-dimensional Gaussian distribution to \(K\)-dimensional categorical distribution and adjusting diffusion parameters from \(\tilde{\alpha}_t\)
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to \(\alpha_t = \mathcal{T}(\tilde{\alpha}_t)\).
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<!-- The ELBOs of both processes are related by \Eqn{eqn:elbo_inequality}. -->
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</h4>
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<button onclick="copyBibTeX()" style="position: absolute; top: 10px; right: 10px; z-index: 1;">
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Copy
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</button>
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<pre><code id="bibtex-code">@inproceedings{sahoo2025diffusion,
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title={The Diffusion Duality},
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author={Sahoo, Subham Sekhar and Deschenaux, Justin and Gokaslan, Aaron and Wang, Guanghan and Chiu, Justin T and Kuleshov, Volodymyr},
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booktitle={ICLR 2025 Workshop on Deep Generative Model in Machine Learning: Theory, Principle and Efficacy}
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<pre><code id="bibtex-code">@misc{sahoo2025diffusionduality,
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title={The Diffusion Duality},
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author={Subham Sekhar Sahoo and Justin Deschenaux and Aaron Gokaslan and Guanghan Wang and Justin Chiu and Volodymyr Kuleshov},
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year={2025},
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eprint={2506.10892},
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archivePrefix={arXiv},
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primaryClass={cs.LG},
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url={https://arxiv.org/abs/2506.10892},
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}</code></pre>
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