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In the following section of this paper, we investigate three kernel functions: 1) a second order polynomial kernel k(x, x′) = (xTx′ + 1)2, referred to as KPLS-Poly(2), 2) a third order polynomial kernel k(x, x′) = (xTx′ + 1)3, referred to as KPLS-Poly(3), 3) a Gaussian kernel k(x, x′) = exp(−γ||x − x′||)2), referred to as KPLS-Gauss, where γ is a hyper parameter and set to the inverse of the median of the Euclidian distance of data points.
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