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Gaussian RBF Centered Kernel Alignment (CKA) in the Large Bandwidth Limit

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arxiv 2112.09305 v1 pith:CYEY5PXE submitted 2021-12-17 cs.LG stat.ML

Sergio A. Alvarez (Boston College , Chestnut Hill , MA , USA) This is my paper · ORCID
classification cs.LGstat.ML
keywords gaussiankernelalignmentcenteredlimitbandwidthbandwidthsbehaves
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We prove that Centered Kernel Alignment (CKA) based on a Gaussian RBF kernel converges to linear CKA in the large-bandwidth limit. We show that convergence onset is sensitive to the geometry of the feature representations, and that representation eccentricity bounds the range of bandwidths for which Gaussian CKA behaves nonlinearly.

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