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www.ethanepperly.com | ||
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stevensoojin.kim
A survey of Poincaré inequalities appearing outside of PDE. |
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djalil.chafai.net
This post is devoted to a concentration inequality of Lipschitz functions for a class of projected probability distributions on the unit sphere of $\mathbb{R}^n$, $n\geq2$, \[ \mathbb{S}^{n-1}=\Bigl\{x\in\mathbb{R}^n:|x|:=\sqrt{x_1^2+\cdots+x_n^2}=1\Bigr\}. \] We take this opportunity to recall various aspects of concentration for Gaussians. Concentration. Let... |
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extremal010101.wordpress.com
Suppose we want to understand under what conditions on $latex B$ we have $latex \begin{aligned} \mathbb{E} B(f(X), g(Y))\leq B(\mathbb{E}f(X), \mathbb{E} g(Y)) \end{aligned}$holds for all test functions, say real valued $latex f,g$, where $latex X, Y$ are some random variables (not necessarily all possible random variables!). If $latex X=Y$, i.e., $latex X$ and $latex Y$ are... |
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beckham.nz
Learning the conditional prior over classes for image diffusion |
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