Multiscale Covariance Fields, Local Scales, and Shape Transforms
نویسندگان
چکیده
We introduce multiscale covariance fields associated with probability measures on Euclidean space and use them to define local scales at a point and to construct shape transforms. Local scales at x may be interpreted as scales at which key geometric features of data organization around x are revealed. Shape transforms are used to identify points that are most salient in terms of the local-global geometry of a probability distribution, yielding compact geometric summaries of the distribution.
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تاریخ انتشار 2013