minor doc fixes
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@@ -114,15 +114,16 @@ $$
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$\mathbb{E}[\epsilon_t | z_t]$ is the quantitiy that eps-prediction models try to estimate, with
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$$
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\hat{\epsilon}_\theta(z_t, \sigma_t) \approx \mathbb{E}[\epsilon_t | z_t]
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\hat{\epsilon}_{\theta}(z_t, \sigma_t) \approx \mathbb{E}[\epsilon_t | z_t]
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$$
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$\hat{\epsilon}_\theta(z_t, \sigma_t)$ is the model's noise prediction for the current time step, using fitted neural network parameters $\theta$.
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where
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$\hat{\epsilon}_{\theta}(z_t, \sigma_t)$ is the model's noise prediction for the current time step, using fitted neural network parameters $\theta$.
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$\mathbb{E}[x|z_t]$ is the denoised output or prediction of the diffusion model at time $t$.
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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. \
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However this rescaling is not necessary and is not done in the ComfyUI implementation, there the "denoised output" is simply $z_t - \sigma_t \hat{\epsilon}_\theta(z_t, \sigma_t)$.
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However this rescaling is not necessary and is not done in the ComfyUI implementation, there the "denoised output" is simply
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$z_t - \sigma_t \hat{\epsilon}_{\theta}(z_t, \sigma_t)$.
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TODO CHECK WHETHER THE RESCALING HAPPENS SOMEWHERE ELSE IN THE SAMPLER OR BEFORE THE VAE DECODING
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