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Published in: Automatic Documentation and Mathematical Linguistics 6/2019

01-11-2019 | INTELLIGENT SYSTEMS

On the Problem of Medical Diagnostic Evidence: Intelligent Analysis of Empirical Data on Patients in Samples of Limited Size

Authors: M. I. Zabezhailo, Yu. Yu. Trunin

Published in: Automatic Documentation and Mathematical Linguistics | Issue 6/2019

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Abstract

This paper discusses the possibility of expanding the ideas of the validity of medical decisions of a diagnostic nature, which are made in the framework of so-called evidence-based medicine. An approach is proposed that allows building special data in the process of intelligent analysis of accumulated empirical data, which characterize the causality of a diagnosed effect–logical conditions (characteristic functions) that take the value true in all instances of the presence of the target effect and the value false for all instances of its absence in the training sample of precedents. This problem is solved based on the expanding sequences of training samples using: (a) a formal refinement of the concept of similarity of precedent descriptions as a binary algebraic operation, and (b) a mathematical technique for generating empirical dependences in the style of the JSM method of automated support for scientific research. The features and capabilities of the developed approach are described based on the example of solving the problem of analyzing the causes and predicting the pseudoprogression of brain tumors.
Footnotes
1
Thus, in particular, from the viewpoint of probability theory, an event that has zero probability can nevertheless occur any finite number of times.
 
2
That is, the explanations that consider how the real world is structured and not the mathematical model that is used to analyze it.
 
3
Open (replenished in case of emergence of new data) sets of the true formulas (based on available data), such that any of the facts that is currently available in the subject area under consideration can be presented as a logical consequence of this set of formulas.
 
4
Of course, with the accuracy up to the list of precedents used in the current Fact Base.
 
5
The inevitability of this in the process of intelligent data analysis and machine learning was demonstrated in the general case, in particular, by K.V. Vorontsov and D.V. Vinogradov (see the analysis of the effects of so-called re-learning (overfitting), for example, in [17], etc.).
 
6
In the understanding of provability as incontestability based on available empirical data.
 
7
The effect of openness of the descriptions of the analyzed domain.
 
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Metadata
Title
On the Problem of Medical Diagnostic Evidence: Intelligent Analysis of Empirical Data on Patients in Samples of Limited Size
Authors
M. I. Zabezhailo
Yu. Yu. Trunin
Publication date
01-11-2019
Publisher
Pleiades Publishing
Published in
Automatic Documentation and Mathematical Linguistics / Issue 6/2019
Print ISSN: 0005-1055
Electronic ISSN: 1934-8371
DOI
https://doi.org/10.3103/S0005105519060086

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