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[D] Should the decoder of an autoencoder be injective?

This is a vague and philosophical question, looking for your ideas.

Should the decoder of an autoencoder be injective?

On one hand, if it is a deterministic AE, then it must be so, but I am not asking that.

It seems strange that there should be a mapping between hugely varying dimension spaces and still be injective. If the AE can then also encode/decode arbitrary data, it must implement some complicated scramble of the input space down to latent.

In PCA some dimensions are dropped in going to the “latent” space, but I guess the inverse direction can be still injective.

submitted by /u/myobviousnic
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Toronto AI is a social and collaborative hub to unite AI innovators of Toronto and surrounding areas. We explore AI technologies in digital art and music, healthcare, marketing, fintech, vr, robotics and more. Toronto AI was founded by Dave MacDonald and Patrick O'Mara.