Abstract
We present a new interpolation technique allowing to build an approximation of a priori unknown principal manifolds of a data set which may be non-linear, non-connected and of various intrinsic dimension. This technique is based onto the Induced Delaunay Triangulation of the data built by a Topology Representing Network. It opens the way to a new field of research and applications in data analysis, data modeling and forecasting.
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© 2001 Springer-Verlag London Limited
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Aupetit, M., Couturier, P., Massotte, P. (2001). Induced Voronoï Kernels for Principal Manifolds Approximation. In: Advances in Self-Organising Maps. Springer, London. https://doi.org/10.1007/978-1-4471-0715-6_11
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DOI: https://doi.org/10.1007/978-1-4471-0715-6_11
Publisher Name: Springer, London
Print ISBN: 978-1-85233-511-3
Online ISBN: 978-1-4471-0715-6
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