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Kernel smoothing techniques, such as kernel density estimation (KDE) and Nadaraya-Watson kernel regression, estimate functions by local interpolation from data points. Not to be confused with [kernel-trick], for the kernels used e.g. in SVMs.
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Kernel Density Uniform
For any fixed bandwidth $h$ the $x_i$ values come from the vector $x$ (i.e. $x_1=11$ and $x_2=10$). Typically the uniform kernel has values $a=-1$ and $b=1$, hence, the uniform density is 1/2 for $x\i …