Abstract
Entropy-Valley selects target lengths for masked diffusion translation by scoring predictive entropy, improving adequacy and showing length choice matters more than unmasking order.
Machine translation tests masked diffusion language models (dLLMs) because every source token must be rendered faithfully, while fixed canvas decoding must choose target length before denoising. Existing masked diffusion decoding work mainly studies token unmasking order, leaving this length decision under-explored despite its direct effect on coverage and redundancy. We introduce Entropy-Valley (EV), a training-free length selector that scores candidate target canvases by mean predictive entropy from all-mask forward passes and selects the canvas the backbone is most prepared to fill. Relative to a baseline using training corpus length statistics, EV recovers 64.9%, 65.3%, and 33.0% of the COMET-22 gain from reference target lengths on EntoZh, ZhtoEn, and EntoDe. Our diagnostics show that denoising-friendly lengths need not match reference lengths. Evaluation by three translation experts supports the EnleftrightarrowZh adequacy gains, with stronger evidence on ZhtoEn. Compared with a LLaMA-3-8B autoregressive (AR) model trained on the same fine-tuning data, the EV system ties on EntoZh and leads on ZhtoEn; an oracle-length diagnostic further shows that, in this masked diffusion MT setting, deciding which tokens to reveal first matters less than how the target length is supplied.
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Masked diffusion LMs must pick the target canvas length before denoising starts — there is no autoregressive EOS to stop generation, so a wrong length drops source content or pads the output before a single token is revealed. Entropy-Valley takes that decision out of the hyperparameters and puts it in the model: probe each candidate canvas with a single all-mask forward pass and decode the one with the lowest mean predictive entropy — the canvas the frozen backbone is most prepared to fill. Training-free, no length head, no reference lengths.
On WMT22 with LLaDA-8B it closes 64.9% / 65.3% / 33.0% of the gap to a reference-length oracle on En→Zh / Zh→En / En→De, three expert translators confirm the gain is adequacy rather than fluency, and it beats DAEDAL in both En↔Zh directions and CAL on En→Zh at lower measured inference cost. The pattern holds on Dream-Base and DiffuLLaMA.
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