arXiv Machine Learning By Renxiang Huang, Yuchen Liang, Yingbin Liang, Ness Shroff, Lifeng Lai

Score Mismatch and Set-Constrained Sampling in Zero-Shot Conditional Discrete Diffusion

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The paper presents a theoretical analysis of score mismatch in discrete diffusion models, deriving a KL divergence upper bound that quantifies the bias introduced when the training and target distributions differ. It examines partial-observation constraints such as text infilling and sentence completion, showing that the Conditional SEDD sampler can incur a bias that grows with dimension, vocabulary size, and compatibility. To mitigate this, the authors propose a Randomized Hard Clamping (RHC) sampler for coordinatewise set constraints, demonstrating through experiments that it effectively reduces bias and improves sampling performance.

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