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Generating low-dimensional denoised embeddings of nonlinear data with superparamagentic agents


Ott, Thomas; Eggel, Thomas; Christen, Markus (2014). Generating low-dimensional denoised embeddings of nonlinear data with superparamagentic agents. In: Nonlinear Theory and its Applications, Luzern, 14 September 2014 - 18 September 2014, 180-183.

Abstract

Visualisation of high-dimensional data by means of a low-dimensional embedding plays a key role in explorative data analysis. Classical approaches to dimensionality reduction, such as principal component analysis (PCA) and multidimensional scaling (MDS), struggle or even fail to reveal the relevant data characteristics when applied to noisy or nonlinear data structures. We present a novel approach for dimensionality reduction in combination with an automatic noise cleaning. By employing self-organising agents that are governed by the dynamics of the superparamagnetic clustering algorithm, the method is able to generate denoised low-dimensional embeddings for which the characteristics of nonlinear data structures are preserved or even emphasised. These properties are illustrated and compared to other approaches by means of toy and real-world examples.

Abstract

Visualisation of high-dimensional data by means of a low-dimensional embedding plays a key role in explorative data analysis. Classical approaches to dimensionality reduction, such as principal component analysis (PCA) and multidimensional scaling (MDS), struggle or even fail to reveal the relevant data characteristics when applied to noisy or nonlinear data structures. We present a novel approach for dimensionality reduction in combination with an automatic noise cleaning. By employing self-organising agents that are governed by the dynamics of the superparamagnetic clustering algorithm, the method is able to generate denoised low-dimensional embeddings for which the characteristics of nonlinear data structures are preserved or even emphasised. These properties are illustrated and compared to other approaches by means of toy and real-world examples.

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Additional indexing

Item Type:Conference or Workshop Item (Paper), refereed, original work
Communities & Collections:04 Faculty of Medicine > Institute of Biomedical Ethics and History of Medicine
08 University Research Priority Programs > Ethics
Dewey Decimal Classification:170 Ethics
610 Medicine & health
Language:English
Event End Date:18 September 2014
Deposited On:31 Dec 2014 10:17
Last Modified:27 Apr 2017 22:26
Publisher:s.n.
Additional Information:Proceedings of Nonlinear Theory and Applications
Free access at:Official URL. An embargo period may apply.
Official URL:http://www.encyclog.com/_upl/files/2014_Nolta_supagents.pdf
Related URLs:http://www.epapers.org/nolta2014/ESR/paper_details.php?PHPSESSID=9uc373563rcei5e235l8agvjl5&paper_id=6207

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