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P-Channels: Robust Multivariate M-Estimation of Large Datasets
Hong Kong August 20-August 24
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICPR.2006.91118th International Conference on Patt ...
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Michael Felsberg, Linkoping University
Gosta Granlund, Linkoping University
In this paper we introduce a new technique that allows to estimate modes of a high-dimensional probability density function with linear time-complexity in the number of dimensions and the number of samples. The method can be implemented in an order-independent incremental way, such that the space-complexity is linear in the number of dimensions and the number of modes. The number of required samples to get reliable estimates depends linearly on the number of dimensions even if we replace the assumption of independent stochastic variables with the weaker assumption of data clustered in submanifolds. These submanifolds need not to be known, but smoothness assumptions are made. The new technique is based on representing data in what we call P-Channels.
Citation:
Michael Felsberg, Gosta Granlund, "P-Channels: Robust Multivariate M-Estimation of Large Datasets," icpr, vol. 3, pp.262-267, 18th International Conference on Pattern Recognition (ICPR'06) Volume 3, 2006
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