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Soft-sparsity localization of C^ug #334

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odunbar opened this issue Oct 12, 2023 · 1 comment
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Soft-sparsity localization of C^ug #334

odunbar opened this issue Oct 12, 2023 · 1 comment

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@odunbar
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odunbar commented Oct 12, 2023

We should implement this: https://arxiv.org/abs/2208.03246

It has provable bounds on approximation with finite ensemble, and these extend to the case where it is imposed on the cross covariance too

@odunbar
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odunbar commented Oct 13, 2023

Tried this on orad/threshold-localizer by adding the new struct ThresholdCutoff(radius)

The outcome

it "can" work, but is incredibly sensitive to the radius. This is very likely due to the face that the cutoff is performed on the Covariance matrix and not the correlation matrix. We also find that even when applying it only to the correlation matrix, (equivalent to using our own SEC(0,radius)) localization, it still helps to have some additional damping, i.e. SEC(damp,radius).

@odunbar odunbar closed this as completed Oct 13, 2023
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