Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences

Bunte K, Haase S, Biehl M, Villmann T (2012)
Neurocomputing 90: 23-45.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Bunte, KerstinUniBi; Haase, Sven; Biehl, Michael; Villmann, Thomas
Abstract / Bemerkung
We present a systematic approach to the mathematical treatment of the t-distributed stochastic neighbor embedding (t-SNE) and the stochastic neighbor embedding (SNE) method. This allows an easy adaptation of the methods or exchange of their respective modules. In particular, the divergence which measures the difference between probability distributions in the original and the embedding space can be treated independently from other components like, e.g. the similarity of data points or the data distribution. We focus on the extension for different divergences and propose a general framework based on the consideration of Frechet-derivatives. This way the general approach can be adapted to the user specific needs. (C) 2012 Elsevier B.V. All rights reserved.
Stichworte
embedding; Nonlinear; Divergence optimization; Dimension reduction; Visualization; Stochastic neighbor embedding
Erscheinungsjahr
2012
Zeitschriftentitel
Neurocomputing
Band
90
Seite(n)
23-45
ISSN
0925-2312
Page URI
https://pub.uni-bielefeld.de/record/2509846

Zitieren

Bunte K, Haase S, Biehl M, Villmann T. Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences. Neurocomputing. 2012;90:23-45.
Bunte, K., Haase, S., Biehl, M., & Villmann, T. (2012). Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences. Neurocomputing, 90, 23-45. doi:10.1016/j.neucom.2012.02.034
Bunte, K., Haase, S., Biehl, M., and Villmann, T. (2012). Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences. Neurocomputing 90, 23-45.
Bunte, K., et al., 2012. Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences. Neurocomputing, 90, p 23-45.
K. Bunte, et al., “Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences”, Neurocomputing, vol. 90, 2012, pp. 23-45.
Bunte, K., Haase, S., Biehl, M., Villmann, T.: Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences. Neurocomputing. 90, 23-45 (2012).
Bunte, Kerstin, Haase, Sven, Biehl, Michael, and Villmann, Thomas. “Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences”. Neurocomputing 90 (2012): 23-45.

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