Classification of Earthquake-Induced Damage for R/C Slab Column Frames Using Multiclass SVM and Its Combination with MLP Neural Network

Table 3

Properties of kernel functions.

Kernel function	Expression	Comment
Linear	𝐾𝑥𝑖,𝑥𝑗=𝑟+𝛼⋅𝑥^𝑇𝑖⋅𝑥𝑗	𝛼>0
Polynomial	𝐾𝑥𝑖,𝑥𝑗=𝑟+𝛼⋅𝑥^𝑇𝑖⋅𝑥𝑗^𝑝	𝛼>0
Gaussian	𝐾𝑥𝑖,𝑥𝑗−1=exp2𝜎^2𝑥𝑖−𝑥𝑗^2	𝜎≠0
Sigmoid	𝐾𝑥𝑖,𝑥𝑗=tanh𝛽0+𝛽1⋅𝑥^𝑇𝑖⋅𝑥𝑗	𝛽1>0

𝑥_𝑖, 𝑥_𝑗 are input vectors and 𝑟,𝛼,𝜎,𝛽₀, and 𝛽₁ are kernel parameters.