Indices to Evaluate Self-Organizing Maps for Structures

Steil, Jochen J.; Sperduti, Alessandro

Indices to Evaluate Self-Organizing Maps for Structures

Steil JJ, Sperduti A (2007)
In: Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007). Neuroinformatics Group, Bielefeld University, Germany (Ed); Bielefeld: Bielefeld University.

Konferenzbeitrag | Veröffentlicht | Englisch

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DOI

https://doi.org/10.2390/BIECOLL-WSOM2007-156

URN

urn:nbn:de:0070-pub-29351387

Autor*in

Steil, Jochen J.^UniBi; Sperduti, Alessandro

herausgebende Körperschaft

Neuroinformatics Group, Bielefeld University, Germany

Einrichtung

Technische Fakultät > AG Neuroinformatik

Abstract / Bemerkung

Self-Organizing Maps for Structures (SOM-SD) are neural networks models capable of processing structured data, such as sequences and trees. The evaluation of the encoding quality achieved by these maps can neither be measured exclusively by the quantization error as in the standard SOM, which fails to capture the structural aspects, nor by indices measuring topology preservation, because often there are no measures available for discrete structures. We propose new indices for the evaluation of encoding quality which are customized to the structural nature of input data. These indices are used to evaluate the quality of SOM-SDs trained on a benchmark dataset introduced earlier in [2]. We show that the proposed indices capture relevant structural features of the tree encoding additional to the statistical features of the training data vectors associated with the tree vertices.

Stichworte

SOM-SD; structured data; classification; performance measure

Erscheinungsjahr

2007

Titel des Konferenzbandes

Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007)

Konferenz

The 6th International Workshop on Self-Organizing Maps (WSOM 2007)

Konferenzort

Bielefeld

Konferenzdatum

2007-09-03 – 2007-09-06

eISBN

978-3-00-022473-7

Page URI

https://pub.uni-bielefeld.de/record/2935138

Zitieren

Steil JJ, Sperduti A. Indices to Evaluate Self-Organizing Maps for Structures. In: Neuroinformatics Group, Bielefeld University, Germany, ed. Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007). Bielefeld: Bielefeld University; 2007.

Steil, J. J., & Sperduti, A. (2007). Indices to Evaluate Self-Organizing Maps for Structures. In Neuroinformatics Group, Bielefeld University, Germany (Ed.), Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007) Bielefeld: Bielefeld University. https://doi.org/10.2390/BIECOLL-WSOM2007-156

Steil, Jochen J., and Sperduti, Alessandro. 2007. “Indices to Evaluate Self-Organizing Maps for Structures”. In Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007), ed. Neuroinformatics Group, Bielefeld University, Germany. Bielefeld: Bielefeld University.

Steil, J. J., and Sperduti, A. (2007). “Indices to Evaluate Self-Organizing Maps for Structures” in Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007), Neuroinformatics Group, Bielefeld University, Germany ed. (Bielefeld: Bielefeld University).

Steil, J.J., & Sperduti, A., 2007. Indices to Evaluate Self-Organizing Maps for Structures. In Neuroinformatics Group, Bielefeld University, Germany, ed. Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007). Bielefeld: Bielefeld University.

J.J. Steil and A. Sperduti, “Indices to Evaluate Self-Organizing Maps for Structures”, Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007), Neuroinformatics Group, Bielefeld University, Germany, ed., Bielefeld: Bielefeld University, 2007.

Steil, J.J., Sperduti, A.: Indices to Evaluate Self-Organizing Maps for Structures. In: Neuroinformatics Group, Bielefeld University, Germany (ed.) Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007). Bielefeld University, Bielefeld (2007).

Steil, Jochen J., and Sperduti, Alessandro. “Indices to Evaluate Self-Organizing Maps for Structures”. Proceedings of the 6th International Workshop on Self-Organizing Maps (WSOM 2007). Ed. Neuroinformatics Group, Bielefeld University, Germany. Bielefeld: Bielefeld University, 2007.

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