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May 10, 2021 at 16:24 comment added Manuel Madeira @NawafBou-Rabee thank you for those examples (and sorry for the late reply)!
Apr 26, 2021 at 20:06 history edited Rodrigo de Azevedo CC BY-SA 4.0
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Apr 26, 2021 at 14:41 comment added Noah Schweber Crossposted at MSE: math.stackexchange.com/questions/4117100/…
Apr 26, 2021 at 14:40 comment added Nawaf Bou-Rabee Also, variational inference arxiv.org/abs/2009.00666 en.wikipedia.org/wiki/Variational_Bayesian_methods
Apr 26, 2021 at 14:32 history edited Manuel Madeira CC BY-SA 4.0
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Apr 26, 2021 at 14:23 comment added Nawaf Bou-Rabee Do you mean something like arxiv.org/abs/1412.4845 ? In the linked file on adaptive importance sampling, the authors apply stochastic optimization to an expectation that is not a finite-sum.
Apr 26, 2021 at 14:19 comment added Manuel Madeira @Dirk, I edited the question and hope that it is clearer now. I want to know the applications of a more general setting but that includes the finite-sum setting. Thank you for your feedback
Apr 26, 2021 at 14:17 history edited Manuel Madeira CC BY-SA 4.0
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Apr 26, 2021 at 11:02 comment added Dirk Sorry, but I don't get what you ask. In the finite sum example one has $f(x) = \tfrac1n\sum_{i=1}^n f_i(x)$ and then $\nabla f_i(x)$ is a "noisy version" of $\nabla f(x)$, it is even an unbiased estimator in the sense that the expected value of $\nabla f_i(x)$ (if you choose i uniformly) is $\nabla f(x)$. Is this related to your question?
Apr 26, 2021 at 9:53 history asked Manuel Madeira CC BY-SA 4.0