Fast Sampling via Discrete Non-Markov Diffusion Models with Predetermined Transition Time

Fuente: arXiv
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Autori principali: Chen, Zixiang, Yuan, Huizhuo, Li, Yongqian, Kou, Yiwen, Zhang, Junkai, Gu, Quanquan
Natura: Preprint
Pubblicazione: 2023
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author Chen, Zixiang
Yuan, Huizhuo
Li, Yongqian
Kou, Yiwen
Zhang, Junkai
Gu, Quanquan
author_facet Chen, Zixiang
Yuan, Huizhuo
Li, Yongqian
Kou, Yiwen
Zhang, Junkai
Gu, Quanquan
contents Discrete diffusion models have emerged as powerful tools for high-quality data generation. Despite their success in discrete spaces, such as text generation tasks, the acceleration of discrete diffusion models remains under-explored. In this paper, we propose discrete non-Markov diffusion models (DNDM), which naturally induce the predetermined transition time set. This enables a training-free sampling algorithm that significantly reduces the number of function evaluations (i.e., calls to the neural network), making the sampling process much faster. Furthermore, we study the transition from finite to infinite step sampling, offering new insights into bridging the gap between discrete and continuous-time processes for discrete diffusion models. Extensive experiments on natural language generation and machine translation tasks demonstrate the superior performance of our method in terms of both generation speed and sample quality compared to existing methods for discrete diffusion models.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09193
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fast Sampling via Discrete Non-Markov Diffusion Models with Predetermined Transition Time
Chen, Zixiang
Yuan, Huizhuo
Li, Yongqian
Kou, Yiwen
Zhang, Junkai
Gu, Quanquan
Machine Learning
Artificial Intelligence
Discrete diffusion models have emerged as powerful tools for high-quality data generation. Despite their success in discrete spaces, such as text generation tasks, the acceleration of discrete diffusion models remains under-explored. In this paper, we propose discrete non-Markov diffusion models (DNDM), which naturally induce the predetermined transition time set. This enables a training-free sampling algorithm that significantly reduces the number of function evaluations (i.e., calls to the neural network), making the sampling process much faster. Furthermore, we study the transition from finite to infinite step sampling, offering new insights into bridging the gap between discrete and continuous-time processes for discrete diffusion models. Extensive experiments on natural language generation and machine translation tasks demonstrate the superior performance of our method in terms of both generation speed and sample quality compared to existing methods for discrete diffusion models.
title Fast Sampling via Discrete Non-Markov Diffusion Models with Predetermined Transition Time
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2312.09193