Hello Julien,

thank you for your reply.
I should have mentioned in first place that I have read the paper on ANCOVA based on PCE. As far as I understood one neglects there the (necessary) assumption of independency of the input vectors in the PCE. I am rather interested in an approach where you define a specific ordering of the variables and make them independent. Can you provide me a short example how the implemented Rosenblatt transformation is supposed to work? Does it only worked the way it is implemented for some known distributions or incorporates it a kernel density estimation of a arbitrary data set?

Thank you,
Simon


PS: Sorry for the fragmentary subject

Quoting Julien Schueller | Phimeca <[email protected]>:

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Hello Simon,

Please have a look at the ANCOVA algorithm.

Julien

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DE : [email protected] <[email protected]> de la part
de Simon Rittel <[email protected]>
ENVOYé : jeudi 13 juin 2019 17:23:28
À : [email protected]
OBJET : [ot-users] reply: usage of 

Hello,

with one of the four implemented "SobolIndicesAlgorithm"s one can 
compute the Sobol coefficients for a function with independent inputs.
Am I correct that there's no direct method implemented to calculate 
these coefficients for dependent input variables?

To cope with dependent inputs one could apply the well-known 
Rosenblatt transformation before the sensitivity analysis. I saw that 
there are already isoprobabilistic transformations implemented, but 
from the documentation I couldn't figure out how exactly they are 
meant to work (the theory, however, I do understand) and therefore 
also how to use them. Maybe you could provide me a short example or 
explain briefly how to generate a independent input vector with the 
help of the implemented Rosenblatt transformation?

I would appreciate your help on these two questions.

Thank you,
Simon Rittel

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