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For questions related to deep learning, which refers to a subset of machine learning methods based on artificial neural networks (ANNs) with multiple hidden layers. The adjective deep thus refers to the number of layers of the ANNs. The expression deep learning was apparently introduced (although not in the context of machine learning or ANNs) in 1986 by Rina Dechter in the paper "Learning while searching in constraint-satisfaction-problems".

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Deriving ELBO for Diffusion Models

I am trying to read through the proof of ELBO for diffusion models on pg. 8 of this paper. However, I do not see how the author arrived at Eqn (45) from Eqn (44). Specifically, I do not know how they …