minor doc fixes

This commit is contained in:
JTriggerFish
2025-02-11 12:00:16 +00:00
parent f10d09e56f
commit f8f7c19584
+3 -3
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@@ -111,9 +111,9 @@ $$
\mathbb{E}[x|z_t] = \frac{z_t - \sigma_t \mathbb{E}[\epsilon_t | z_t] }{\alpha_t}
$$
- $\mathbb{E}[\epsilon_t | z_t]$ is the quantitiy that eps-prediction models try to estimate, with $\hat{\epsilon}_\theta(z_t, \sigma_t) \sim \mathbb{E}[\epsilon_t | z_t]$.
- $\hat{\epsilon}_\theta(z_t, \sigma_t)$ is the model's noise prediction for the current time step, using fitted neural network parameters $\theta$.
- $\mathbb{E}[x|z_t]$ is the denoised output or prediction of the diffusion model at time $t$.
$\mathbb{E}[\epsilon_t | z_t]$ is the quantitiy that eps-prediction models try to estimate, with $\hat{\epsilon}_\theta(z_t, \sigma_t) \sim \mathbb{E}[\epsilon_t | z_t]$.\
$\hat{\epsilon}_\theta(z_t, \sigma_t)$ is the model's noise prediction for the current time step, using fitted neural network parameters $\theta$.\
$\mathbb{E}[x|z_t]$ is the denoised output or prediction of the diffusion model at time $t$.\
Note that the divison by $\alpha_t$ is a problem at the last step, since $\alpha_T$ is very small, or even zero for ZSNR models. \
However this rescaling is not necessary and is not done in the ComfyUI implementation, there the "denoised output" is simply $z_t - \sigma_t \hat{\epsilon}_\theta(z_t, \sigma_t)$.