Boundary Phenomenon in Multivariate Data
نویسنده
چکیده
In this paper we show some strange features of multidimensional data and their influence on classification. We introduce the probability distribution mapping function, and the distribution density mapping function which maps probability density distribution of points in n-dimensional space to a similar distribution in one-dimensional space of distances. The power approximation of the probability distribution mapping function is introduced and an application for a probability density estimation including the boundary effect in high dimensions is shown. Some results obtained with the new method for classification are shown.
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