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_sources/lectures/VariationalInference.ipynb

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" - Minimizing $-\\text{ELBO}(q)$ with respect to $q$ is equivalent to minimizing $\\text{KL}(q\\parallel p)$.\n",
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" - $\\text{ELBO}(q)$ is much easier to calculate since it does not depend on the evidence $P(D)$.\n",
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"The ELBO is strongly connected to [information theory and entropy](https://en.wikipedia.org/wiki/Information_theory). Specifically, the ELBO is not just a loss function for variational inference; it is an information-theoretic objective that balances how much information from the input data is encoded into the latent space (bits) versus how accurately that data can be reconstructed. \n",
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"Note that, as with the KL divergence, the ELBO can be evaluated in terms of expectation values,\n",
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"$$ \\Large\n",

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