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extremal010101.wordpress.com | ||
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www.ethanepperly.com
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| | | | | [AI summary] The user has provided a comprehensive set of mathematical derivations and inequalities related to probability and statistics, focusing on bounding the probability that the sample mean deviates from its expected value. The key points include: (1) Using the Chernoff bound to derive a tail inequality for bounded random variables, (2) Applying the Hoeffding's inequality to show that the probability of the sample mean deviating by more than t is exponentially small in n, (3) Deriving the final result that the probability is bounded by 2exp(-2nt^2/(b-a)^2), and (4) Mentioning the connection to the Hoeffding inequality. The user also included some unrelated text about an ORCID iD and an email profile, which seems to be an error or unrelated information... | |
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djalil.chafai.net
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| | | | | 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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stevensoojin.kim
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| | | | | A survey of Poincaré inequalities appearing outside of PDE. | |
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blog.demofox.org
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| | | A few weeks ago I joined NVIDIA as part of the graphics dev tech team. The dev tech team's scope is pretty wide, but it encompasses nearly all real time graphics programming needs that NVIDIA may have: making code samples for new tech, helping developers optimize their games and make them look prettier, working with... | ||
