Ultra-Fast Language Generation via Discrete Diffusion Divergence Instruct

Haoyang Zheng, Xinyang Liu, Cindy Xiangrui Kong, Nan Jiang, Zheyuan Hu +3 more
9/29/2025
cs.CLcs.AIcs.LG

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Abstract

Fast and high-quality language generation is the holy grail that people pursue in the age of AI. In this work, we introduce Discrete Diffusion Divergence Instruct (DiDi-Instruct), a training-based method that initializes from a pre-trained (masked) discrete diffusion language model (dLLM) and distills a few-step student for fast generation. The resulting DiDi-Instruct model achieves comparable or superior performance to its dLLM teacher and the GPT-2 baseline while enabling up to 64$\times$ acceleration. The theoretical foundation of DiDi-Instruct is a novel framework based on integral KL-divergence minimization, which yields a practical training algorithm. We further introduce grouped reward normalization, intermediate-state matching, and the reward-guided ancestral sampler that significantly improve training stability, model coverage, and inference quality. On OpenWebText, DiDi-Instruct achieves perplexity from 62.2 (8 NFEs) to 18.4 (128 NFEs), which outperforms prior accelerated dLLMs and GPT-2 baseline. These gains come with a negligible entropy loss (around $1\%$) and reduce additional training wall-clock time by more than $20\times$ compared to competing dLLM distillation methods. We further validate the robustness and effectiveness of DiDi-Instruct through extensive ablation studies, model scaling, and the generation of discrete protein sequences. In conclusion, DiDi-Instruct is an efficient yet effective distillation method, enabling language generation in the blink of an eye. We will release both code and models at github.com/haoyangzheng-ai/didi-instruct.

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Cite this paper

@article{zheng2025ultrafast,
  title  = {Ultra-Fast Language Generation via Discrete Diffusion Divergence Instruct},
  author = {Haoyang Zheng and Xinyang Liu and Cindy Xiangrui Kong and Nan Jiang and Zheyuan Hu and Weijian Luo and Wei Deng and Guang Lin},
  year   = {2025},
  eprint = {2509.25035},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2509.25035v2}
}

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