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For questions related to variational auto-encoders (VAEs). The first VAE was proposed in "Auto-Encoding Variational Bayes" (2013) by Diederik P. Kingma and Max Welling. There are several other VAEs, for example, the conditional VAE.

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Is there a way to reward my Variational-Auto encoder for using less colors while still letti...

You can encode this in a loss, not in a differentiable one though. What you want is something like: $$ L(\theta) = L^{VAE}(\theta) - \lambda \sum_i|set(f_\theta(x_i))| $$ So you penalize your model if …
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Why can Variational Autoencoders (VAEs) approximate arbitrary distributions?

The fact that you can approximate any distribution is given by the definition ELBO, which is a lower bound in order to learn $p(x)$ Theoretically speaking, if you are able to make that difference betw …
Alberto's user avatar
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In the VAE, why is $z \sim \mathcal{N}(\mu, \sigma^2)$ equivalent to $z = \mu + \sigma \odot...

I'll give 2 cents. The point is that Normal distribution can be shifted and rescaled: if $X$ is a normal gaussian distribution with parameters $\mu$ and $\sigma^2$, then this $X$ distribution can be …
Alberto's user avatar
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