Annealed Relaxation of Speculative Decoding for Faster Autoregressive Image Generation

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Hauptverfasser: Li, Xingyao, Zhang, Fengzhuo, Du, Cunxiao, Ji, Hui
Format: Preprint
Veröffentlicht: 2026
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author Li, Xingyao
Zhang, Fengzhuo
Du, Cunxiao
Ji, Hui
author_facet Li, Xingyao
Zhang, Fengzhuo
Du, Cunxiao
Ji, Hui
contents Despite significant progress in autoregressive image generation, inference remains slow due to the sequential nature of AR models and the ambiguity of image tokens, even when using speculative decoding. Recent works attempt to address this with relaxed speculative decoding but lack theoretical grounding. In this paper, we establish the theoretical basis of relaxed SD and propose COOL-SD, an annealed relaxation of speculative decoding built on two key insights. The first analyzes the total variation (TV) distance between the target model and relaxed speculative decoding and yields an optimal resampling distribution that minimizes an upper bound of the distance. The second uses perturbation analysis to reveal an annealing behaviour in relaxed speculative decoding, motivating our annealed design. Together, these insights enable COOL-SD to generate images faster with comparable quality, or achieve better quality at similar latency. Experiments validate the effectiveness of COOL-SD, showing consistent improvements over prior methods in speed-quality trade-offs.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09212
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Annealed Relaxation of Speculative Decoding for Faster Autoregressive Image Generation
Li, Xingyao
Zhang, Fengzhuo
Du, Cunxiao
Ji, Hui
Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
Despite significant progress in autoregressive image generation, inference remains slow due to the sequential nature of AR models and the ambiguity of image tokens, even when using speculative decoding. Recent works attempt to address this with relaxed speculative decoding but lack theoretical grounding. In this paper, we establish the theoretical basis of relaxed SD and propose COOL-SD, an annealed relaxation of speculative decoding built on two key insights. The first analyzes the total variation (TV) distance between the target model and relaxed speculative decoding and yields an optimal resampling distribution that minimizes an upper bound of the distance. The second uses perturbation analysis to reveal an annealing behaviour in relaxed speculative decoding, motivating our annealed design. Together, these insights enable COOL-SD to generate images faster with comparable quality, or achieve better quality at similar latency. Experiments validate the effectiveness of COOL-SD, showing consistent improvements over prior methods in speed-quality trade-offs.
title Annealed Relaxation of Speculative Decoding for Faster Autoregressive Image Generation
topic Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2601.09212