[2510.19304] Loopholing Discrete Diffusion: Deterministic Bypass of the Sampling Wall

Computer Science > Machine Learning arXiv:2510.19304 (cs) [Submitted on 22 Oct 2025 (v1), last revised 1 Mar 2026 (this version, v2)] Title:Loopholing Discrete Diffusion: Deterministic Bypass of the Sampling Wall Authors:Mingyu Jo, Jaesik Yoon, Justin Deschenaux, Caglar Gulcehre, Sungjin Ahn View a PDF of the paper titled Loopholing Discrete Diffusion: Deterministic Bypass of the Sampling Wall, by Mingyu Jo and 4 other authors View PDF HTML (experimental) Abstract:Discrete diffusion models offer a promising alternative to autoregressive generation through parallel decoding, but they suffer from a sampling wall: once categorical sampling occurs, rich distributional information collapses into one-hot vectors and cannot be propagated across steps, forcing subsequent steps to operate with limited information. To mitigate this problem, we introduce Loopholing, a novel and simple mechanism that preserves this information via a deterministic latent pathway, leading to Loopholing Discrete Diffusion Models (LDDMs). Trained efficiently with a self-conditioning strategy that avoids unrolling the full denoising trajectory, LDDMs achieve substantial gains-reducing generative perplexity by up to 61% over prior baselines, thereby closing (and in some cases surpassing) the gap with autoregressive models, and producing more coherent text. Applied to reasoning tasks, LDDMs also improve performance on arithmetic benchmarks such as Countdown and Game of 24. These results also indicate that lo...