Abstract
The textile plot proposed by Kumasaka and Shibata (2008) is a method for data visualization. The method transforms a data matrix in order to draw a parallel coordinate plot. In this paper, we investigate a set of matrices induced by the textile plot, which we call the textile set, from a geometrical viewpoint. It is shown that the textile set is written as the union of two differentiable manifolds if data matrices are restricted to be full-rank.
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References
Absil, P.-A., Mahony, R., Sepulchre, R.: Optimization Algorithms on Matrix Manifolds. Princeton University Press, Princeton (2008)
Inselberg, A.: Parallel Coordinates: VISUAL Multidimensional Geometry and its Applications. Springer, New York (2009)
Kumasaka, N., Shibata, R.: High-dimensional data visualisation: the textile plot. Comput. Stat. Data Anal. 52, 3616–3644 (2008)
Acknowledgment
The authors are grateful to three anonymous reviewers for their helpful comments.
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© 2015 Springer International Publishing Switzerland
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Sei, T., Tanaka, U. (2015). Geometric Properties of Textile Plot. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2015. Lecture Notes in Computer Science(), vol 9389. Springer, Cham. https://doi.org/10.1007/978-3-319-25040-3_78
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DOI: https://doi.org/10.1007/978-3-319-25040-3_78
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