The effect of Gaussian blurring on the extraction of peaks and pits from digital elevation models.
The entropy and redundancy of normalized database structures
The entropy of Łukasiewicz-languages
The paper presents an elementary approach for the calculation of the entropy of a class of languages. This approach is based on the consideration of roots of a real polynomial and is also suitable for calculating the Bernoulli measure. The class of languages we consider here is a generalisation of the Łukasiewicz language.
The entropy of Łukasiewicz-languages
The paper presents an elementary approach for the calculation of the entropy of a class of languages. This approach is based on the consideration of roots of a real polynomial and is also suitable for calculating the Bernoulli measure. The class of languages we consider here is a generalisation of the Łukasiewicz language.
The four known biplanes with k=11.
The full periodicity kernel for a class of graph maps.
The fundamental equation of information and its generalizations.
The Gauss code problem off the plane.
The general solution of a functional equation related to the mixed theory of information.
The geometric structure of the inverse gamma distribution.
The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes.
The information geometric descriptions of denormalized thermodynamic manifolds.
The irrelevant information principle for collective probabilistic reasoning
Within the framework of discrete probabilistic uncertain reasoning a large literature exists justifying the maximum entropy inference process, , as being optimal in the context of a single agent whose subjective probabilistic knowledge base is consistent. In particular Paris and Vencovská completely characterised the inference process by means of an attractive set of axioms which an inference process should satisfy. More recently the second author extended the Paris-Vencovská axiomatic approach...
The logic of neural networks.
This paper establishes the equivalence between multilayer feedforward networks and linear combinations of Lukasiewicz propositions. In this sense, multilayer forward networks have a logic interpretation, which should permit to apply logical techniques in the neural networks framework.
The Logogryph of Euler.
The Mathieu group and its pseudogroup extension .
The multidimensional -transform and its use in solution of partial difference equations
The mutual information estimation in the sampling with replacement
The mutual information. Estimation in the sampling without replacement
The noncommutative Hilbert transform approach to free entropy