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predictor-corrector methods

techniqueactiveprovisionalpredictor-corrector-methods-d6b0f41d·1 events·first seen 21d ago

Aliases: predictor-corrector methods

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6arXiv · cs.LG·21d ago·source ↗

GADD: Gibbs-Accelerated Discrete Diffusion Achieves Polylog Sampling Complexity

This paper introduces Gibbs-Accelerated Discrete Diffusion (GADD), a corrector method for uniform-rate discrete diffusion models that constructs Gibbs posterior likelihoods directly from the concrete score function without additional training. GADD achieves O(polylog(ε⁻¹)) sampling complexity, the first such rate for diffusion-based samplers in this setting. Experiments on synthetic data, zero-shot text sampling, and zero-shot conditional music generation show consistent improvements in sample quality and wall-clock efficiency over Euler and CTMC baselines. The work also introduces a novel induction-based theoretical framework for analyzing predictor-corrector methods in discrete diffusion.