The local geometry of finite mixtures

Details The local geometry of finite mixtures The local geometry of finite mixtures

2012-02-16

arxiv.org/abs/1202.3482v1

Mathematics

Statistics Theory

25 pages

Scientific paper

We introduce a technique to obtain local (bracketing) metric entropy bounds for subsets of a normed vector space from global entropy bounds. Using this method, we establish that for q>=1, the class of convex combinations of q translates of a probability density has finite local doubling dimension under a smoothness assumption. The proof requires a detailed investigation of the local geometry of mixture classes, which is of independent interest.

Affiliated with

Also associated with

No associations

Rating

The local geometry of finite mixtures 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 The local geometry of finite mixtures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local geometry of finite mixtures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-124868