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ShiftScaleTransformer Scaling Options "maxnorm" and "maxnormsym" #74

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merged 5 commits into from
Nov 20, 2024

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nicolearetz
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option "maxnorm" for transformers.
Snapshots are transformed such that the maximum Euclidean norm of the transformed snapshots (with or without centering) is at most 1. This is useful because the norm of the Kronecker product of two vectors is equal to the product of the two vectors' norms: $|x \otimes y| = |x| |y|$. Scaling the snapshots to have maximum norm 1 guarantees that the entries of the OpInf data matrix remain bounded even for high-dimensional polynomial operators.

@shanemcq18 shanemcq18 changed the title option "maxnorm" for snapshot transformers including tests ShiftScaleTransformer Scaling Options "maxnorm" and "maxnormsym" Nov 20, 2024
@shanemcq18 shanemcq18 merged commit d9758fa into Willcox-Research-Group:main Nov 20, 2024
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@nicolearetz nicolearetz deleted the norm-transformer branch May 26, 2025 20:20
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