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Note that lower tail bounds P(h(x(t)) ? c) can be rewritten as P ... However, Chernoff inequality yields a bound 0.95 whereas Bernstein inequality ...
The Fast Johnson-Lindenstrauss Transform is Even Fasterlatter expression can be bounded by Chernoff bounds for the lower tail of independent random variables. Page 74. 64. Benjamin Doerr. 1.10.2.2 ... Lecture 7 1 Dimensionality Reduction - UBC Computer Science1.10.1.2 Multiplicative Chernoff Bounds for the Lower Tail. In principle, of course, there is no difference between bounds for the upper and lower tails. If ... Curvature, concentration and error estimates for Markov chain ...We already proved the Chernoff lower bound. We here prove an asymptotically matching upper bound. 21.1 The cumulant generating function. Recall that the ...
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