Hadwiger's Theorem for Data

Details Hadwiger's Theorem for Data Hadwiger's Theorem for Data

2012-03-28

arxiv.org/abs/1203.6120v1

Mathematics

Differential Geometry

13 pages, 3 figures

Scientific paper

Hadwiger's Theorem states that Euclidean-invariant convex-continuous valuations of definable sets are linear combinations of intrinsic volumes. We lift this result from sets to data distributions over sets, specifically, to definable real-valued functionals on n-dimensional Euclidean space. This generalizes intrinsic volumes to (dual pairs) of non-linear valuations on functionals and provides a dual pair of Hadwiger classification theorems.

Affiliated with

Also associated with

No associations

Rating

Hadwiger's Theorem for Data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hadwiger's Theorem for Data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hadwiger's Theorem for Data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271559