Functional Correlations in the Pursuit of Performance Assessment of Classifiers
In statistical classification and machine learning, as well as in social and other sciences, a number of measures of association have been proposed for assessing and comparing individual classifiers, raters, as well as their groups. In this paper, we introduce, justify, and explore several new measures of association, which we call CO-, ANTI-, and COANTI-correlation coefficients, that we demonstrate to be powerful tools for classifying confusion matrices. We illustrate the performance of these new coefficients using a number of examples, from which we also conclude that the coefficients are new objects in the sense that they differ from those already in the literature.
The approach to the organization of the hierarchical structure of intelligent system of analysis and evaluation of onboard digital computer system’s resist to destructive electromagnetic effects is offered. The adaptive nature of the levels of the system is determined by using the intelligent tools of fuzzy logic and neural networks for solving the tasks of destructive effects’ classification and clustering on the onboard digital computer system in accordance with the signs of these effects generated by the electromagnetic effect’s sensors.
The organization of the hierarchical structure of intelligent system of analysis and evaluation of onboard digital computer system’s resist to destructive electromagnetic effects is considered. The adaptive nature of the levels of the system is determined by using the intelligent tools of fuzzy logic and neural networks for solving the tasks of destructive effects’ classification and clustering on the onboard digital computer system in accordance with the signs of these effects generated by the electromagnetic effect’s sensors.There are consideredfollowing scenariosof destructive electromagnetic effects’detection, which based on the analysis of distortion of information flow parameters, and on the basis information detection sensors.
The article discusses the application of the situational approach to the management of organizational and technical systems in the planning of operations (combat actions). Algorithms for evaluation of problem situations during conduct of operations (combat actions) and also for finding preventive measures can be created with the use of the proposed approach.
This is a textbook in data analysis. Its contents are heavily influenced by the idea that data analysis should help in enhancing and augmenting knowledge of the domain as represented by the concepts and statements of relation between them. According to this view, two main pathways for data analysis are summarization, for developing and augmenting concepts, and correlation, for enhancing and establishing relations. Visualization, in this context, is a way of presenting results in a cognitively comfortable way. The term summarization is understood quite broadly here to embrace not only simple summaries like totals and means, but also more complex summaries such as the principal components of a set of features or cluster structures in a set of entities.
The material presented in this perspective makes a unique mix of subjects from the fields of statistical data analysis, data mining, and computational intelligence, which follow different systems of presentation.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.