The Gromov-Hausdorff distance between metric spaces
Facundo Memoli (University of Adelaide)
NICTA SML SEMINARDATE: 2012-08-30
TIME: 11:15:00 - 12:00:00
LOCATION: NICTA - 7 London Circuit
CONTACT: JavaScript must be enabled to display this email address.
ABSTRACT:
The Gromov-Hausdorff distance between metric spaces appears to be a useful tool for modeling some object matching procedures and also for expressing the stability of some data analysis methods. Since its conception, the GH distance has been used mainly by pure mathematicians who are interested in the topology generated by this distance, and quantitative consequences of the definition are not very common. As a result, few lower bounds for the distance are known, and the quantitative stability of many metric invariants is not understood.
I will give an overview of properties of the GH distance and related concepts and will then mention some recent work on identifying some 'natural features' of metric spaces that permit full discrimination.
BIO:
