In this paper, multidimensional models of image quality are discussed. In such models, alternative images, for instance, obtained through different processing or coding of the same scene, are represented as points in a multidimensional space. The positioning is such that the correlation between geometrical properties of the points and the subjective impressions mediated by the corresponding ima...

Univariate stable distributions arose within the context of the central limit theorem as limit laws for sums of i.i.d. random variables. Except for the gaussian laws, all the stable distributions are heavy-tailed. This explains why stable distribution models are very attractive for statisticians. The fact that stable laws are limiting says a lot about possible genesis of the corresponding rando...

The Multidimensional Assignment Problem (MAP) is a NP-hard combinatorial optimization problem, occurring in many applications, such as data association. In this paper, we prove two conjectures made in [1] and based on data from computational experiments on MAPs. We show that the mean optimal objective function cost of random instances of the MAP goes to zero as the problem size increases, when ...

In the framework of the Hartle-Hawking no-boundary proposal, we investigated quantum creation of the multidimensional universe with a cosmological constant (Λ) but without matter fields. We have found that the classical solutions of the Euclidean Einstein equations in this model have “quasi-attractors”, i.e., most trajectories on the a-b plane, where a and b are the scale factors of external an...

In a bounded open region of the d dimensional space we consider a Brownian motion which is reborn at a fixed interior point as soon as it reaches the boundary. The evolution is invariant with respect to a density equal, modulo a constant, to the Green function of the Dirichlet Laplacian centered at the point of return. We calculate the resolvent in closed form, study its spectral properties and...

M ost developers agree that data warehouse, multidimensional database (MDB), and online analytical processing (OLAP) applications emphasize multidimen-sional modeling, which offers two benefits. First, the multidimensional model closely parallels how data analyzers think and, therefore, helps users understand data. Second, this approach helps predict what final users want to do, thereby facilit...