Are they Really Neighbor ? A Statistical Analysis of the SOM Algorithm Output

de Bodt, Eric;Cottrell, Marie;Verleysen, Michel
(2001) 8th International Workshop on Artificial Intelligence and Statistics (AISTATS 2001) — Location: Key West, Florida (USA), (4.January.2001)

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  • de Bodt, EricUCLouvain
    Author
  • Cottrell, MarieUniversité Paris 1
    Author
  • Verleysen, MichelUCLouvain
    Author
Abstract
One of the attractive features of Self-organizing Maps (SOMS) is the so-called "topological preservation property": observations that are close to each other in the input space (at least locally) remain close to each otherin the SOM. In this work, we propose the use of a bootstrap scheme to construct a statistical significance test of the observed proximity among individuals in the SOM.
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de Bodt, E., Cottrell, M., & Verleysen, M. (2001). Are they Really Neighbor ? A Statistical Analysis of the SOM Algorithm Output. AISTATS′2001 proceedings, p. 35-40. https://hdl.handle.net/2078.5/254155