Publication Details |
| Category | Text Publication |
| Reference Category | Reports |
| URL | https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-345209 |
| Title (Primary) | Nonlinear principal component analysis |
| Author | Der, R.; Steinmetz, U.; Balzuweit, G.; Schüürmann, G. |
| Journal | Report / Institut für Informatik |
| Year | 1998 |
| Department | OEC; COE |
| Volume | 4/98 |
| Page To | 19 |
| Language | englisch |
| Abstract | We study the extraction of nonlinear data models in high-dimensional spaces with modified self-organizing maps. We present a general algorithm which maps low-dimensional lattices into high-dimensional data manifolds without violation of topology. The approach is based on a new principle exploiting the specific dynamical properties of the first order phase transition induced by the noise of the data. Moreover we present a second algorithm for the extraction of generalized principal curves comprising disconnected and branching manifolds. The performance of the algorithm is demonstrated for both one- and two-dimensional principal manifolds and also for the case of sparse data sets. As an application we reveal cluster structures in a set of real world data from the domain of ecotoxicology. |
| Persistent UFZ Identifier | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=23993 |
| Der, R., Steinmetz, U., Balzuweit, G., Schüürmann, G. (1998): Nonlinear principal component analysis Report / Institut für Informatik 4/98 Universität Leipzig, Leipzig, 19 pp. |
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