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# Continuous Diffusion Language Models

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  1. arXiv

    Continuous diffusion language models drop rare words: GRAFT lifts ELF-B's rare-word share from 0.42 to 0.82 of the human rate without retraining

    Continuous diffusion language models generate a whole sentence in parallel without drawing a word at intermediate steps, and the cost is a collapsed lexical tail: ELF nearly matches human text on common words, yet its rarest words appear at only a fraction of the human rate, a gap that persists from 105M to 652M parameters and under every sampler setting tested. GRAFT reads the decoding head mid-generation, commits the rare words the average is about to discard, and regenerates from noise, raising the rare-word share from 0.42–0.77 to 0.82–1.25 of the human rate across three ELF scales and the independent LangFlow implementation, at the cost of a small rise in non-word rate on some models.

  2. arXiv

    ELF-REG pushes continuous diffusion language models into math reasoning and code generation: 55.96% pass@1 on GSM8K and MATH-500 up from 10.55% to 13.39%

    The work scales Embedded Language Flows (ELF) to mathematical reasoning and code generation and introduces ELF-REG, which uses a frozen autoregressive teacher to supervise intermediate denoiser features and to supply a global representation jointly denoised with the response (REPA+REG); evaluated on GSM8K, MATH-500, HumanEval, and MBPP, ELF-REG-L reaches 55.96% pass@1 on GSM8K at 64 NFE and 13.39% on MATH-500 and 22.56% on HumanEval at 128 NFE, outperforming the evaluated comparable-scale dLMs on GSM8K and code and improving MATH-500 from the ELF-L baseline of 10.55% to 13.39%, while the same task-specific checkpoints support strong low-NFE performance through early-stop without few-step training, reaching 41.21% HumanEval pass@10 at 16 NFE.

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