arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.08063cs.CV

基于力场构造的可解释ODE式生成扩散模型

Interpretable ODE-style Generative Diffusion Model via Force Field Construction

Beijing Jiaotong University(北京交通大学);Tsinghua University(清华大学)

Weiyang Jin, Yongpei Zhu, Yuxi Peng

AI总结:

本文从数学视角识别适配的物理模型,归纳出统一的ODE式生成扩散模型方法,在CIFAR-10实验中验证了该方法在生成速度、Inception分数和FID分数上的优异性能,提升了扩散模型的可解释性。

摘要:

长期以来,研究者一直致力于开发能建立生成扩散模型与数学物理学之间深层联系的方法。尽管已有相关尝试,但进展仅局限于单一专用方法的探索。为提升扩散模型的可解释性并开拓新研究方向,建立统一的ODE式生成扩散模型至关重要,该模型应借鉴物理模型的灵感并具备清晰的几何意义。本文旨在从数学视角准确识别适用于构建ODE式生成扩散模型的各类物理模型,随后将这些模型归纳为统一方法。此外,本文开展案例研究,利用该方法识别的理论模型开发一系列新的扩散模型方法并进行实验。在CIFAR-10上的实验验证了本文方法的有效性:本文构建的计算框架在图像生成速度方面表现出色,另有一个模型在Inception分数和FID分数上均展现出优异性能。这些结果凸显了本文方法对推动扩散模型领域发展的重要意义。

英文摘要:

For a considerable time, researchers have focused on developing a method that establishes a deep connection between the generative diffusion model and mathematical physics. Despite previous efforts, progress has been limited to the pursuit of a single specialized method. In order to advance the interpretability of diffusion models and explore new research directions, it is essential to establish a unified ODE-style generative diffusion model. Such a model should draw inspiration from physical models and possess a clear geometric meaning. This paper aims to identify various physical models that are suitable for constructing ODE-style generative diffusion models accurately from a mathematical perspective. We then summarize these models into a unified method. Additionally, we perform a case study where we use the theoretical model identified by our method to develop a range of new diffusion model methods, and conduct experiments. Our experiments on CIFAR-10 demonstrate the effectiveness of our approach. We have constructed a computational framework that attains highly proficient results with regards to image generation speed, alongside an additional model that demonstrates exceptional performance in both Inception score and FID score. These results underscore the significance of our method in advancing the field of diffusion models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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