Study on Support Vector Machine-Based Fault Detection in Tennessee Eastman Process

Table 1

Formulation of Kernel functions.

Kernel	𝐾(𝑥𝑖,𝑥𝑗)
Linear	𝑥^𝑇𝑖⋅𝑥𝑗
Polynomial	(𝛾𝑥^𝑇𝑖⋅𝑥𝑗+constant)^𝑑
Gaussian RBF functions	𝑒^−𝛾||𝑥𝑖−𝑥𝑗||2

𝛾, constant and 𝑑 are kernel parameters.