Atoms of characteristic measures

Distance measures between atoms

Many learning systems, e.g. systems based on clustering and instance based learning systems, need a measure for the distance between objects. Adequate measures are available for attribute value learners. In recent years there is a growing interest in rst order learners, however existing proposals for distances between non-ground atoms have some drawbacks. In this paper we develop a new measure ...

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Characteristic Measures for the Representation Ofmanufactured Surface

Characteristic Shape Sequences for Measures on Images

Researchers in many fields often need to quantify the similarity between images using metrics that measure qualities of interest in a robust quantitative manner. We present here the concept of image dimension reduction through characteristic shape sequences. We formulate the problem as a nonlinear optimization program and demonstrate the solution on a test problem of extracting maximal area ell...

Atoms of weakly null-additive monotone measures and integrals

Keywords: Monotone measure Atom Weak null-additivity Regularity Sugeno integral Choquet integral a b s t r a c t In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by...