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Radial Basis Function Kernel for TPS Transformation (Wrong?) #96

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Atotem opened this issue Sep 6, 2022 · 0 comments
Open

Radial Basis Function Kernel for TPS Transformation (Wrong?) #96

Atotem opened this issue Sep 6, 2022 · 0 comments

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@Atotem
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Atotem commented Sep 6, 2022

U = torch.mul(dist_squared, torch.log(dist_squared))

Hi!

I understand the Radial Basis kernel they are using is the following:
U = r^2 * log( r )

However, seems to me that the function used is this one:
U = r^2 * log( r^2 ), because after summing both pondered delta matrix, they don't apply root squared to the outcome.

Is there a reason to do it this way? I'm just trying to understand. I appreciate any insight.

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