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Song and Dhariwal: improved consistency training with corrected teacher updates

Contribution grade

Direct training of fast generative models · Direct training of fast generative models

Reference score40,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Exposes unequal-parameter asymptotic loss limitation, fixes teacher update under stopgradient, and combines inherited robust loss with empirical weighting/schedule/architecture choices for stronger direct training.

Scientific scope

Exposes unequal-parameter asymptotic loss limitation, fixes teacher update under stopgradient, and combines inherited robust loss with empirical weighting/schedule/architecture choices for stronger direct training. This is the follow-up arXiv 2310.14189v1. It corrects a limitation in the original direct-training argument and changes the teacher update, loss and schedules. Removing the moving average from the training teacher differs from averaging parameters for inference. Its one-step and two-step image metrics depend on the stated training and evaluation setup. It does not retroactively validate every claim in the original consistency-model paper or guarantee exact sampling for arbitrary distributions. WRS has not replayed the training or benchmark.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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