Hard-margin dual

Definition taught in Support vector machines, part of Statistical learning

Hard-margin dual

Type Definition
Taught in Support vector machines
Part Statistical learning

\begin{aligned} \text{maximise}\quad Q(\alpha)&=\sum_{i=1}^{n}\alpha_i-\frac12\sum_{i=1}^{n}\sum_{j=1}^{n}\alpha_i\alpha_j y_i y_j x_i^\top x_j\\ \text{subject to}\quad \sum_{i=1}^{n}\alpha_i y_i&=0,\qquad \alpha_i\ge 0. \end{aligned}

Used in

See also

Signed distance · Vapnik’s radius–margin bound · Hard-margin primal · Soft-margin primal · Kernel · Linear separators and the margin · Distance to a hyperplane · Why maximise the margin?

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