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LA-VAE & LA-AE #2

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@hulne

Thank you to the author for the great work.

However, it appears that the code for LA-VAE actually uses a classic AutoEncoder, and does not apply the KL loss to constrain the latent space as in a VAE.

if mode == 'train':
    optimizer.zero_grad()
    z, before = self.encoder(batch)
    data_recon, after = self.decoder(z, length=batch.shape[-1])
    recon_error = F.mse_loss(data_recon, batch)
    cross_loss = F.mse_loss(before, after)
    loss = recon_error + cross_loss
    loss.backward()
    optimizer.step()

May I ask why it is named LA-VAE instead of LA-AE? Also, can this design ensure good generation quality and meaningful reverse diffusion? From what I have seen in the original VAE-DDPM paper, if it is changed to AE-DDPM, it seems there is no theoretical guarantee.

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