arXiv AI By Mariia Drozdova, St\'ephane Liem Nguyen, Fran\c{c}ois Fleuret

Let It Go or Learn to Self-Correct: Continuous Diffusion for Constrained Discrete Tasks

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The paper examines how Denoising Diffusion Probabilistic Models (DDPMs) perform on globally constrained discrete tasks such as Sudoku and N-queens. It shows that standard diffusion sampling, which keeps updates close to the noisy state, often preserves early mistakes, whereas sampling directly from the model’s clean predictions dramatically improves validity (e.g., Sudoku from 31% to 95%). The authors further introduce self‑correction training, exposing the model to its own predictions to reduce inference errors, which enhances the performance of standard samplers across tasks.

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