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Weighted L2 norm - weight with a CIL linear operator? #1984

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MargaretDuff opened this issue Nov 8, 2024 · 0 comments
Open

Weighted L2 norm - weight with a CIL linear operator? #1984

MargaretDuff opened this issue Nov 8, 2024 · 0 comments
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enhancement New feature or request

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@MargaretDuff
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Discussed with @bosschmidt at the CIL user meeting hackathon.

For the weighted L2 norm in CIL, the weight value can be a scalar or can be a CIL data container :

weight: a `scalar` or a `DataContainer` with the same shape as the intended domain of this `WeightedL2NormSquared` function

Mathematically, F ( x ) = | x | W , 2 2 = Σ i w i x i 2 = x , W x = x T W x where W = diag ( w e i g h t ) if weight is a DataContainer or W = weight I if weight is a scalar.

It might be useful to extend this so that W is a linear operator whose range and domain are the same and contain the input x .

This would allow the weighted L2norm to be weighted by non-diagonal matrices.

@MargaretDuff MargaretDuff added the enhancement New feature or request label Nov 8, 2024
@MargaretDuff MargaretDuff self-assigned this Nov 8, 2024
@github-project-automation github-project-automation bot moved this to Todo in CIL work Nov 8, 2024
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