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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.
7
votes
Mathematics of GANs (generative adversarial networks)
I recommend some papers by Lars Mescheder:
The paper The Numerics of GANs formalizes GANs as two-player games and analyzes their training dynamics,
the paper Which Training Methods for GANs do actual …
3
votes
Accepted
Updating Geman and Geman (1984) on image restoration
Given that the paper has accumulated a stunning 21.850 citations at Google scholar to this date and 487 are from 2018 the work is clearly influential (zbMATH lists 913 citations and 17 from 2018, MATH …
5
votes
Minimizing KL divergence: the asymmetry, when will the solution be the same?
I don't have a definite answer, but here is something to continue with:
Formulate the optimization problems with constraints as
$$
\mathrm{argmin}_{F(q)=0} D(q || p),\qquad \mathrm{argmin}_{F(q)=0} D …
5
votes
Numerical approximation to the Wasserstein metric?
Yes, there are. First note that the Wasserstein metric is, after discretization, the solution of a linear program (LP) that can be fed into any LP solver.
Moreover, there are specialized algorithms, …