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Techniques for Precision-Based Visual Analysis of Projected Data

Schreck, Tobias and Landesberger, Tatiana von and Bremm, Sebastian (2010):
Techniques for Precision-Based Visual Analysis of Projected Data.
SPIE Press, Bellingham, In: SPIE Conference on Visualization and Data Analysis 2010, In: Proceedings of SPIE; 7530, [Conference or Workshop Item]

Abstract

The analysis of high-dimensional data is an important, yet inherently difficult problem. Projection techniques such as PCA, MDS, and SOM can be used to map high-dimensional data to 2D display space. However, projections typically incur a loss in information. Often uncertainty exists regarding the precision of the projection as compared with its original data characteristics. While the output quality of these projection techniques can be discussed in terms of algorithmic assessment, visualization is often helpful for better understanding the results. We address the visual assessment of projection precision by an approach integrating an appropriately designed projection precision measure directly into the projection visualization. To this end, a flexible projection precision measure is defined that allows the user to balance the degree of locality at which the measure is evaluated. Several visual mappings are designed for integrating the precision measure into the projection visualization at various levels of abstraction. The techniques are implemented in a fully interactive system which is practically applied on several data sets. We demonstrate the usefulness of the approach for visual analysis of classified and clustered high-dimensional data sets. We thereby show how our novel interactive precision quality visualization system helps to examine preservation of closeness of the data in original space into the low-dimensional space.

Item Type: Conference or Workshop Item
Erschienen: 2010
Creators: Schreck, Tobias and Landesberger, Tatiana von and Bremm, Sebastian
Title: Techniques for Precision-Based Visual Analysis of Projected Data
Language: English
Abstract:

The analysis of high-dimensional data is an important, yet inherently difficult problem. Projection techniques such as PCA, MDS, and SOM can be used to map high-dimensional data to 2D display space. However, projections typically incur a loss in information. Often uncertainty exists regarding the precision of the projection as compared with its original data characteristics. While the output quality of these projection techniques can be discussed in terms of algorithmic assessment, visualization is often helpful for better understanding the results. We address the visual assessment of projection precision by an approach integrating an appropriately designed projection precision measure directly into the projection visualization. To this end, a flexible projection precision measure is defined that allows the user to balance the degree of locality at which the measure is evaluated. Several visual mappings are designed for integrating the precision measure into the projection visualization at various levels of abstraction. The techniques are implemented in a fully interactive system which is practically applied on several data sets. We demonstrate the usefulness of the approach for visual analysis of classified and clustered high-dimensional data sets. We thereby show how our novel interactive precision quality visualization system helps to examine preservation of closeness of the data in original space into the low-dimensional space.

Series Name: Proceedings of SPIE; 7530
Publisher: SPIE Press, Bellingham
Uncontrolled Keywords: Forschungsgruppe Visual Search and Analysis (VISA), Multidimensional data visualization, Data reduction, Quality evaluation, Point clouds
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Event Title: SPIE Conference on Visualization and Data Analysis 2010
Date Deposited: 12 Nov 2018 11:16
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