Table 1 Examples of popular shift-invariant kernels and the corresponding sampling distributions
From: SDRNF: generating scalable and discriminative random nonlinear features from data
Kernel name | k(△) | p(w) |
|---|---|---|
Gaussian | \(\mathrm {e}^{\left (-\frac {||\bigtriangleup ||^{2}_{2}}{2}\right)}\) | \((2\pi)^{-\frac {D}{2}}\mathrm {e}^{\left (-\frac {||w||^{2}_{2}}{2}\right)}\) |
Laplacian | \(\mathrm {e}^{\left (-||\bigtriangleup ||_{1}\right)}\) | \(\prod _{d} \frac {1}{\pi \left (1+{w^{2}_{d}}\right)}\) |