The Procedures of Visual Analysis for Multidimensional Data Volumes

Abstract

<p><strong>Abstract.</strong> The paper is devoted to problems of visual analysis of multidimensional data sets using an approach based on the construction of elastic maps. This approach is quite suitable for processing and visualizing of multidimensional datasets. The elastic maps are used as the methods of original data points mapping to enclosed manifolds having less dimensionality. Diminishing the elasticity parameters one can design map surface which approximates the multidimensional dataset in question much better. Then the points of dataset in question are projected to the map. The extension of designed map to a flat plane allows one to get an insight about the structure of multidimensional dataset. The paper presents the results of applying elastic maps for visual analysis of multidimensional data sets of medical origin. Previously developed data processing procedures are applied to improve the results obtained - pre-filtering of data, removal of separated clusters (flotation), quasi-Zoom.</p>

Visual Analysis of Text Data Volume by Frequencies of Joint Use of Nouns and Adjectives

“…Elastic mapping and visualization of the results in this study were performed using this software tool. Based on the construction of elastic maps, a number of studies of various volumes of multidimensional data were carried out and a number of procedures for processing multidimensional data were developed, which significantly improved the cluster picture of the studied data volume [10][11][12][13][14].…”

“…This section presents the results of studies on the construction of elastic maps for a multidimensional data array, which are the frequencies of joint use of adjectives and nouns. This work is a continuation of [10][11][12][13][14], where similar studies were performed for multidimensional data volumes constructed on the basis of the "verb + noun" principle. To construct the data volume, procedures similar to those described in [10] were used.…”

“…This work is a continuation of research on the development of visual analytics tools for the analysis of multidimensional volumes of numerical and textual infor-mation. Studies on this topic are presented in [10][11][12][13][14]. In the process of research, the construction of elastic maps was tested on a large amount of data of various origins.…”

Visual Analysis of Textual Information on the Frequencies of Joint Use of Nouns and Adjectives

“…Based on the construction of elastic maps, a number of studies of various volumes of multidimensional data were conducted and a number of procedures for processing multidimensional data were developed, which significantly improved the cluster picture of the studied data volume [10][11][12][13][14].…”

“…This work is a continuation of research on the development of visual analytics tools for the analysis of multidimensional volumes of numerical and textual information. Studies on this topic are presented in [10][11][12][13][14]. In the process of research, the construction of elastic maps was tested on a large amount of data of various origins.…”