The chernoff bound
網頁Hoeffding's inequality is a special case of the Azuma–Hoeffding inequality and McDiarmid's inequality. It is similar to the Chernoff bound, but tends to be less sharp, in particular when the variance of the random variables is small. [2] It is similar to, but incomparable with, one of Bernstein's inequalities . 網頁2024年5月13日 · The Chernoff bound is an important inequality relation in probability theory. The original version of the Chernoff bound is to give an exponential decreasing …
The chernoff bound
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網頁The Chernoff bound is like a genericized trademark: it refers not to a particular inequality, but rather a technique for obtaining exponentially decreasing bounds on tail probabilities. … 網頁Stat 928: Statistical Learning Theory Lecture: 6 Hoeffding, Chernoff, Bennet, and Bernstein Bounds Instructor: Sham Kakade 1 Hoeffding’s Bound We say Xis a sub-Gaussian random variable if it has quadratically bounded logarithmic moment generating func-tion,e.g. ...
網頁2024年4月11日 · We study the shotgun assembly problem for the lattice labeling model, where i.i.d. uniform labels are assigned to each vertex in a d-dimensional box of side length n. We wish to recover the labeling configuration on the whole box given empirical profile of labeling configurations on all boxes of side length r. We determine the threshold around … 網頁Chernoff Bound On this page Chernoff Bound on the Right Tail Application to the Normal Distribution Chernoff Bound on the Left Tail Sums of Independent Random Variables Interact If the form of a distribution is intractable in that it …
網頁我们看到, Chernoff bound关注的对象是对于 n 个数的和或均值分布尾部的部分,其刻画了样本均值的尾数概率随着样本数量增加而指数衰减的现象。 当然,我们可以再进一步, … 網頁CS174 Lecture 10 John Canny Chernoff Bounds Chernoff bounds are another kind of tail bound. Like Markoff and Chebyshev, they bound the total amount of probability of some …
網頁2024年4月15日 · The query complexity lower bound is then lifted to a query-space lower bound for a non-uniform (preprocessing) adversary solving the same problem [11, 12, 37]. Building on ideas developed in these lines of work, we present a new technique for translating sampling lower bounds to space lower bounds for problems in the context of …
網頁APPLICATIONS OF CHERNOFF BOUNDS 5 Hence, the ideal choice of tfor our bound is ln(1 + ). Substituting this value into our expression, we nd that Pr(X (1 + ) ) (e (1+ )(1+ )) … tacos navarro\u0027s網頁2015年5月31日 · Chernoff Bound. Chernoff bounding technique指的是用moment-generating function来处理多个随机变量之和的期望的技巧。. 所谓moment-generating function被定义为随机变量 的指数函数的期望 。. 先来看一个简单的例子:考虑 独立同分布 的Bernoulli随机变量 及它们的和 ,易见 。. 现在要 ... basil svg網頁2015年5月10日 · 13. I have to prove that, when bounding tail probabilities of a nonnegative random variable, the moments method is always better than the classical Chernoff … basil sushi menu網頁2006年7月30日 · DOI: 10.1214/08-AOS593 Corpus ID: 15418499 THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING @article{Nussbaum2006THECL, title={THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING}, author={Michael Nussbaum and … taco smoke grey網頁Lecture 21: The Chernoff Bound Anup Rao February 26, 2024 We discuss the Chernoff Bound. The central limit theorem is not always the most useful way to understand the … tacos nike jr support網頁2.6.1 The Union Bound The Robin to Chernoff-Hoeffding’s Batman is the union bound. It shows how to apply this single bound to many problems at once. It may appear crude, but can usually only be significantly improved if special structure is available in the 1 t. basil sushi網頁2012年6月5日 · Appendix B - The Chernoff bound Published online by Cambridge University Press: 05 June 2012 Upamanyu Madhow Show author details Upamanyu … taco snap