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Representation-Space MMD for Diffusion Language Models

The paper presents a post-training method for diffusion language models (DLMs) that reduces Maximum Mean Discrepancy (MMD) between generated and reference distributions in the feature space of a frozen pretrained DLM. The approach uses contextual features at individual token positions to estimate MMD, enabling efficient post-training without full sampling trajectories or auxiliary models.

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PublishedOctober 5, 2026Ilya Drobyshevskiy, Ilia Sudakov, Maksim Semenov
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WHY IT MAY MATTER

This method offers an efficient way to improve generative performance of diffusion language models by aligning their output distributions with reference data in the feature space of a pretrained model.

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