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Unformatted text preview: be empty. General Formulation • Assume observations are drawn from a density p(x) and consider a small region R containing x. Let V be the volume of R. Nonparametric Estimation When applying this result to practical density estimation problems, two basic approaches can be adopted: • We can choose a fixed value of the volume V, and determine k from the data. This is referred as Kernel Density Estimation (KDE). • We can choose a fixed value of k, and determine the corresponding volume V from the data. This approach is known as k Nearest Neighbor (kNN) approach. Parzen window Parzen window Parzen window Parzen window x Parzen window  Example Smooth Kernels hypercube Smooth Kernels Choosing the bandwidth Number of samples and bandwidth Bandwidth and Decision Regions Small bandwidth Large bandwidth Example...
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This note was uploaded on 09/21/2010 for the course EE EE7750 taught by Professor Bahadirgunturk during the Fall '10 term at LSU.
 Fall '10
 BahadirGunturk

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