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Notion of information and independent component analysis

Una Radojičić, Klaus Nordhausen, Hannu Oja (2020)

Applications of Mathematics

Partial orderings and measures of information for continuous univariate random variables with special roles of Gaussian and uniform distributions are discussed. The information measures and measures of non-Gaussianity including the third and fourth cumulants are generally used as projection indices in the projection pursuit approach for the independent component analysis. The connections between information, non-Gaussianity and statistical independence in the context of independent component analysis...

Nouveau critère de segmentation pour des variables à expliquer qualitative ordinale et quantitative multidimensionnelle

Ph. Meunier, P. Baufays, J. P. Rasson (1985)

Statistique et analyse des données

Nuclei segmentation for computer-aided diagnosis of breast cancer

Marek Kowal, Paweł Filipczuk (2014)

International Journal of Applied Mathematics and Computer Science

Null distribution of multiple correlation coefficient under mixture normal model.

Ali, Hydar, Nagar, Daya K. (2002)

International Journal of Mathematics and Mathematical Sciences

Numerical methods for linear minimax estimation

Norbert Gaffke, Berthold Heiligers (2000)

Discussiones Mathematicae Probability and Statistics

We discuss two numerical approaches to linear minimax estimation in linear models under ellipsoidal parameter restrictions. The first attacks the problem directly, by minimizing the maximum risk among the estimators. The second method is based on the duality between minimax and Bayes estimation, and aims at finding a least favorable prior distribution.

Numerical taxonomy: a missing link for case-based reasoning and autonomous agents.

John A. Campbell (2004)

RACSAM

Numerical taxonomy, which uses numerical methods to classify and relate items whose properties are non-numerical, is suggested as both an advantageous tool to support case-based reasoning and a means for agents to exploit knowledge that is best expressed in cases. The basic features of numerical taxonomy are explained, and discussed in application to a problem where human agents with differing views obtain solutions by negotiation and by reference to knowledge that is essentially case-like: allocation...