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Questions about prior distributions #106

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closeyourmoise opened this issue Feb 9, 2022 · 2 comments
Open

Questions about prior distributions #106

closeyourmoise opened this issue Feb 9, 2022 · 2 comments

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@closeyourmoise
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Can this library only use Gaussian distribution as prior distribution? Are there other prior distributions?
Another question is that if the input data and the prior distribution are Gaussian distribution, is the output of the network a Gaussian distribution?

@GISCheng
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I have a similar question. I trained a neural network for a regression task with several Bayesian layers. But the generated "CI acc" by "evaluate_regression" is really low. I guess it is because the original or predicted Y does not fit a Gaussian distribution.

@cappelletto
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cappelletto commented Nov 23, 2022

I have been using this library for regressions tasks where the target is deviated from a Gaussian distribution. By doing target (Y) distribution shaping (e.g. logNormal, Box-Cox, Gamma fit) you can improve your results, both in terms of convergence rate during training and error in the predictions for the validation set.
The easiest way to do it is by applying the transformation during the pre-processing. Of course, you will need to revert it once you want your data back into its original space

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