Kernel parameter dependence in spatial factor analysis

Allan Aasbjerg Nielsen (Invited author)

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    Abstract

    Principal component analysis (PCA) [1] is often used for general feature generation and linear orthogonalization or compression by dimensionality reduction of correlated multivariate data, see Jolliffe [2] for a comprehensive description of PCA and related techniques. Schölkopf et al. [3] introduce kernel PCA. Shawe-Taylor and Cristianini [4] is an excellent reference for kernel methods in general. Bishop [5] and Press et al. [6] describe kernel methods among many other subjects. The kernel version of PCA handles nonlinearities by implicitly transforming data into high (even infinite) dimensional feature space via the kernel function and then performing a linear analysis in that space. In this paper we shall apply a kernel version of maximum autocorrelation factor (MAF) [7, 8] analysis to irregularly sampled stream sediment geochemistry data from South Greenland and illustrate the dependence of the kernel width. The 2,097 samples each covering on average 5 km2 are analyzed chemically for the content of 41 elements.
    Original languageEnglish
    Title of host publicationIGARSS
    PublisherIEEE
    Publication date2010
    Pages4240-4243
    ISBN (Print)978-1-4244-9564-1
    DOIs
    Publication statusPublished - 2010
    Event30th International Geoscience and Remote Sensing symposium - Honolulu, HI, United States
    Duration: 25 Jul 201030 Jul 2010
    Conference number: 30
    http://www.igarss2010.org/

    Conference

    Conference30th International Geoscience and Remote Sensing symposium
    Number30
    Country/TerritoryUnited States
    CityHonolulu, HI
    Period25/07/201030/07/2010
    Internet address

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