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I hope it's not a too stupid question since I have no background in SDEs in general but I need to use the package to generate sample paths for our machine learning project.
From my understanding, suppose I have a set of SDEs with d states, if I assume independent additive constant diffusion noise, then the G function should return a dxd diagonal matrix right? Should the entries of the matrix contain the "variance or std" of the noise? I am not even sure if the terms variance and std are proper here.
Thanks a lot for helping.
The text was updated successfully, but these errors were encountered:
Yes, in that case the G function should return a constant dxd diagonal array.
Very roughly speaking, the entries correspond to std, not variance. More precisely, if function f were zero (no drift) then for a diagonal G the diffusion process would have its mean at the initial value and the variance in each direction increasing linearly with time, at a rate proportional to the square of those entries.
I hope it's not a too stupid question since I have no background in SDEs in general but I need to use the package to generate sample paths for our machine learning project.
From my understanding, suppose I have a set of SDEs with d states, if I assume independent additive constant diffusion noise, then the G function should return a dxd diagonal matrix right? Should the entries of the matrix contain the "variance or std" of the noise? I am not even sure if the terms variance and std are proper here.
Thanks a lot for helping.
The text was updated successfully, but these errors were encountered: