A Projection and Density Estimation Method for Knowledge Discovery
نویسندگان
چکیده
منابع مشابه
A Projection and Density Estimation Method for Knowledge Discovery
A key ingredient to modern data analysis is probability density estimation. However, it is well known that the curse of dimensionality prevents a proper estimation of densities in high dimensions. The problem is typically circumvented by using a fixed set of assumptions about the data, e.g., by assuming partial independence of features, data on a manifold or a customized kernel. These fixed ass...
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Pareto Density Estimation (PDE) as defined in this work is a method for the estimation of probability density functions using hyperspheres. The radius of the hyperspheres is derived from optimizing information while minimizing set size. It is shown, that PDE is a very good estimate for data containing clusters of Gaussian structure. The behavior of the method is demonstrated with respect to clu...
متن کاملPareto Density Estimation: Probability Density Estimation for Knowledge Discovery
Pareto Density Estimation (PDE) as defined in this work is a method for the estimation of probability density functions using hyperspheres. The radius of the hyperspheres is derived from optimizing information while minimizing set size. It is shown, that PDE is a very good estimate for clusters of Gaussian structure. The robustness of the method is tested with respect to cluster overlap, number...
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ژورنال
عنوان ژورنال: PLoS ONE
سال: 2012
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0044495