Mathematical Problems in Engineering / 2012 / Article / Tab 1

Research Article

Prediction of Hydrocarbon Reservoirs Permeability Using Support Vector Machine

Table 1

Polynomial, normalized polynomial, and radial basis function (Gaussian) kernels [24].

Kernel functionType of classifier

𝐾 ( π‘₯ 𝑖 , π‘₯ 𝑗 ) = ( π‘₯ 𝑇 𝑖 π‘₯ 𝑗 + 1 ) 𝜌 Complete polynomial of degree 𝜌
𝐾 ( π‘₯ 𝑖 , π‘₯ 𝑗 ) = ( π‘₯ 𝑇 𝑖 π‘₯ 𝑗 + 1 ) 𝜌 /  ( π‘₯ 𝑇 𝑖 π‘₯ 𝑗 ) βˆ’ ( 𝑦 𝑇 𝑖 𝑦 𝑗 ) Normalized polynomial kernel of degree 𝜌
𝐾 ( π‘₯ 𝑖 , π‘₯ 𝑗 ) = e x p [ β€– π‘₯ 𝑖 βˆ’ π‘₯ 𝑗 β€– 2 / 2 𝜎 2 ] Gaussian (RBF) kernel with parameter 𝜎 which
controls the half-width of the curve fitting peak

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.