منابع مشابه
Comparison of distances between measures
The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich problem. These models are more realistic as they predict the observed branching structure of communication networks. They also define new distances between measures. The question arises of how these distances compare to th...
متن کاملComparison between ontology distances
There are many reasons for measuring a distance between ontologies. In particular, it is useful to know quickly if two ontologies are close or remote before deciding to match them. To that extent, a distance between ontologies must be quickly computable. We present constraints applying to such measures and several possible ontology distances. Then we evaluate experimentally some of them in orde...
متن کاملA new class of transport distances between measures
We introduce a new class of distances between nonnegative Radon measures in Rd . They are modeled on the dynamical characterization of the Kantorovich-RubinsteinWasserstein distances proposed by BENAMOU-BRENIER [7] and provide a wide family interpolating between the Wasserstein and the homogeneousW−1,p γ -Sobolev distances. From the point of view of optimal transport theory, these distances min...
متن کاملComparison between Ontology Distances (Preliminary Results)
There are many reasons for measuring a distance between ontologies. In particular, it is useful to know quickly if two ontologies are close or remote before deciding to match them. To that extent, a distance between ontologies must be quickly computable. We present constraints applying to such measures and several possible ontology distances. Then we evaluate experimentally some of them in orde...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.05.009