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Bound on L2-Norm of Probability Distributions?
I am working on a problem where I have continuous probability distributions $p$ over a bounded domain $D$, i.e., $\forall x$ $p(x) \geq 0$ and $\|p\|_1 = \int_D p(x) dx = 1$. However, I also want $p$ ...
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Mean of a function, under different distributions
Define a function: $f: X \rightarrow \mathbb{R}$. The notation $\mathbb{E}_{x \sim D}[f(x)]$ denotes the mean of the function under distribution $D$, where $D$ is a continuous distribution defined ...