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Variational Inference - Princeton University

Variational Inference - Princeton University

www.cs.princeton.edu

4 Kullback-Leibler Divergence We measure the closeness of the two distributions with Kullback-Leibler (KL) divergence. This comes from information theory, a eld that has deep links to statistics and machine learning. (See the books \Information Theory and Statistics" by Kullback and \Information Theory, Inference, and Learning Algorithms" by ...

  Divergence, Kullback, Leibler, Leibler divergence, 4 kullback

T.N.Kipf@uva.nl M.Welling@uva.nl arXiv:1611.07308v1 [stat ...

T.N.Kipf@uva.nl M.Welling@uva.nl arXiv:1611.07308v1 [stat ...

arxiv.org

where KL[q()jjp()] is the Kullback-Leibler divergence between q() and p(). We further take a Gaussian prior p(Z) = Q i p(z i) = Q i N(z i j0;I). For very sparse A, it can be beneficial to re-weight terms with A ij = 1 in Lor alternatively sub-sample terms with A ij = 0. We choose the former for the following experiments.

  Divergence, Kullback, Leibler, Leibler divergence

2.4.8 Kullback-Leibler Divergence - University of Illinois ...

2.4.8 Kullback-Leibler Divergence - University of Illinois ...

hanj.cs.illinois.edu

butions, it is not a distance measure. This is because that the KL divergence is not a metric measure. It is not symmetric: the KL from p(x) to q(x) is generally not the same as the KL from q(x) to p(x). Furthermore, it need not satisfy triangular inequality. Nevertheless, DKL(P||Q) is a …

  Divergence, Butions, 8 kullback leibler divergence, Kullback, Leibler

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