About function: predict_xstart_from_eps

[liubochong]

Hello, it's a nice work! I have some questions and would like to ask you. According to equation below: we can get: I would like to know why the implementation of this function is in this form： where the correspond parameters are defined as follow:

[w86763777]

$$ x_0=\frac{1}{\sqrt{\bar\alpha_t}}(x_t-\sqrt{1-\bar\alpha_t}\epsilon)=\frac{1}{\sqrt{\bar\alpha_t}}x_t-\sqrt{\frac{1-\bar\alpha_t}{\bar\alpha_t}}\epsilon=\frac{1}{\sqrt{\bar\alpha_t}}x_t-\sqrt{\frac{1}{\bar\alpha_t}-1}\epsilon $$

[liubochong]

I realised I had misread the brackets, thank you very much for your patience.