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# gDDIM: Generalized denoising diffusion implicit models

[Qinsheng Zhang](https://qsh-zh.github.io/), [Molei Tao](https://mtao8.math.gatech.edu/), [Yongxin Chen](https://yongxin.ae.gatech.edu/)
# <p align="center">gDDIM: Generalized denoising diffusion implicit models</p>

We unbox the accelerating secret of DDIMs based on Dirac approximation and generalize it to general diffusion models. When
applied to the critically-damped Langevin diffusion model, it achieves an FID score of 2.26 on CIFAR10 with 50 steps.
<div align="center">
<a href="https://qsh-zh.github.io/" target="_blank">Qinsheng&nbsp;Zhang</a> &emsp; <b>&middot;</b> &emsp;
<a href="https://mtao8.math.gatech.edu/" target="_blank">Molei&nbsp;Tao</a> &emsp; <b>&middot;</b> &emsp;
<a href="https://yongxin.ae.gatech.edu/" target="_blank">Yongxin&nbsp;Chen</a>
<br> <br>
<a href="https://arxiv.org/abs/2206.05564" target="_blank">Paper</a> &emsp;
</div>
<br><br>

**TLDR**: We unbox the accelerating secret of DDIMs based on Dirac approximation and generalize it to general diffusion models, isotropic and non-isotropic.

<!-- When applied to the critically-damped Langevin diffusion model, it achieves an FID score of 2.26 on CIFAR10 with 50 steps. -->

![gDDIM](assets/fig1.png)
![dirac](assets/fig2.png)
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