Webb4 mars 2024 · Proof of bound. A proof of Theorem 1, and other theorems in a similar spirit, are currently available here, and hopefully will be available in some citable publication … Webb1 jan. 2014 · The Chernoff bound was a step in the early development of the important field “Large Deviation Theory.” It became prominent among computer scientists because of its usefulness in Information Theory. The Markov inequality …
Chernoff-style concentration inequality for k-tuples
Webb14 mars 2016 · I'm trying to derive the Chernoff bound erfc(x) ≤ exp( − x2), by first showing: erfc(x) = 2 π∫π 20exp( − x2 cos2θ)dθ This equality should be derived by considering 2 independent, standard gaussian random variables x1, x2 and the region in the x1x2 -plane where x1 ≤ x. What I have so far, is come up with a diagram like this: WebbFurther, from this de nition, it follows immediately that from the Cherno bound that all sub-Gaussian random variables satisfy the concentration bound (7). One can also check that if X 1 and X 2 are sub-Gaussian with parameters ˙ 2 1and ˙ 2, then X +X 2 is sub-Gaussian with parameter ˙21 +˙2 2, from which we immediately obtain Hoe ding’s ... goyard alternative
高级算法 Chernoff bound - 知乎
Webb13 maj 2024 · The Chernoff bound is an important inequality relation in probability theory. The original version of the Chernoff bound is to give an exponential decreasing bound on … Webb3 sep. 2024 · Chernoff Bound for Normal Distribution Ask Question Asked 3 years, 7 months ago Modified 3 years, 7 months ago Viewed 2k times 1 I've come across a … Webb3 juli 2024 · We propose a Chernoff-bound approach and examine standard deviation value to enhance the accuracy of the existing fast incremental model tree with the drift detection (FIMT-DD) algorithm. It is a data stream mining algorithm that can observe and form a model tree from a large dataset. child safety stove knob covers