HC-DLM Couples Discrete Tokens With Continuous Latent Trajectories, Beating Diffusion Baselines on Sudoku and Countdown

UIUC-CS · hf · 2026-10-02

Hierarchical Continuous Diffusion Language Models (HC-DLM) address structural bottlenecks in both discrete diffusion (independent per-token sampling severs dependencies among parallel-decoded tokens) and continuous diffusion (the denoiser is untied from valid token configurations until final decoding). HC-DLM couples discrete token generation with a continuous latent trajectory in one principled denoising process, with a training objective derived from a variational bound. It improves puzzle accuracy on Sudoku/Countdown and generative perplexity on LM1B over matched-size baselines.

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