SVM

Maximal Margin Classifier What Is a Hyperplane? Hyperplane: In a p-dimensional space, a hyperplane is a flat affine subspace of dimension $p − 1$. e.g. in two dimensions, a hyperplane is a flat one-dimensional subspace—in other words, a line. Mathematical definition of a hyperplane: $$ \beta_0+\beta_1X_1+\beta_2X_2,…+\beta_pX_p=0, \quad (9.1) $$ Any $X = (X_1,X_2,…X_p)^T$ for which (9.1) holds is a point on the hyperplane. ...