For multi-level semantic structure, the asymmetry of similarity between semantic concepts, as well as the different correlation of semantics between the children nodes and father node, this dissertation proposed a novel similarity calculation method of image semantic based on the probabilistic weighting. This method combines the image feature mapping the visual characteristics of the underlying...

We consider self-similar statistical ensembles with the phase space whose volume is invariant under the deformation that squeezes (expands) the coordinate and expands (squeezes) the momentum. Related probability distribution function is shown to possess a discrete symmetry with respect to manifold action of the Jackson derivative to be a homogeneous function with a self-similarity degree q fixe...

We investigate logic programs whose rules are assigned nonnegative real numbers. These numbers are interpreted as the costs of applying rules. There are several ways in which these costs can be interpreted. In the paper, two such interpretations are discussed in detail. They are referred to as no-reusability and reusability interpretations. The former requires that an atom be paid for each time...

Based on brief review of approaches for community identification and measurement for sensitivity characterization, the accuracy and precision of several approaches for detecting communities in weighted networks are investigated. In weighted networks, the community structure should take both links and link weights into account and the partition of networks should be evaluated by weighted modular...

In a previous article (Rahman, Guns, Rousseau, and Engels, 2015) we described several approaches to determine the cognitive distance between two units. One of these approaches was based on what we called barycenters in N dimensions. The present note corrects this terminology and introduces the more adequate term ‘similarity-adapted publication vectors’. Furthermore, we correct an error in norma...