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Mar 5, 2023 at 5:47 comment added Hanhan Li As I mentioned above, this shouldn't be the reason as ELBO also involves an integral over z. It's an expectation with q(z).
Mar 5, 2023 at 5:01 comment added Minh-Long Luu Time here means the time complexity you need to calculate all configurations possible with $\int p(x|z) p(z)$. When $z$ is large, it is computationally exhaustive to calculate the value. We are generally good with estimations.
Mar 5, 2023 at 4:47 comment added Hanhan Li I don't think that makes sense. x is a fixed value given by data. I'm basically asking why p(x) can't be estimated through sampling the same way as the ELBO can. Also, I'm not sure what time means in your comment. I'll taking about VAEs in general.
Mar 5, 2023 at 2:35 history edited Minh-Long Luu CC BY-SA 4.0
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Mar 5, 2023 at 2:11 history answered Minh-Long Luu CC BY-SA 4.0