geometry - Python scikits learn - Separating Hyperplane equation -

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a separating hyperplane's equation w.x + b = 0.

for support vector machine in scikit-learn, how separating hyperplane derived? 'a' , 'w' signify?

in scikit-learn coef_ attribute holds vectors of separating hyperplanes linear models. has shape (n_classes, n_features) if n_classes > 1 (multi-class one-vs-all) , (1, n_features) binary classification.

in toy binary classification example, n_features == 2, hence w = coef_[0] vector orthogonal hyperplane (the hyperplane defined + intercept).

to plot hyperplane in 2d case (any hyperplane of 2d plane 1d line), want find f in y = f(x) = a.x + b. in case a slope of line , can computed a = -w[0] / w[1].


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