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3 votes
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Correlated random variables and ensembles (law of large numbers?)

Consider $n$ i.i.d random variables. By the law of large numbers (LLN) the sample average would converge after some time to the expected value. Let's assume the random variables are correlated. Would ...
displayname's user avatar
7 votes
4 answers
4k views

Model ensembling - averaging of probabilities

From the BatchNorm paper, section 4.2.3, (https://arxiv.org/abs/1502.03167), The ensemble prediction was based on the arithmetic average of class probabilities predicted by the constituent ...
Manoj Mohan's user avatar
1 vote
0 answers
704 views

How can an ensemble perform worse than all but one of its constituents?

I came across a very unusual situation: I trained 5 deep nets on a problem. 4 of the 5 had excellent in- and out-of-sample accuracy. I trained a classifier on the probability outputs of the 5 deep ...
William's user avatar
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