Geometric margin

4th November 2016 at 2:43pm

A concept in Supervised learning

Intuition of geometric marginsdefinition of geometric margin, and derivation

The formula is

γ(i)=y(i)[(ωω)Tx(i)+bω]\gamma^{(i)} = y^{(i)}[(\frac{\omega}{||\omega||})^T x^{(i)} + \frac{b}{||\omega||}]

It is very similar to Functional margin, and in fact equal if omega=1omega = 1.

W.r.t. an entire training set , the geometric margin is the min of thecvv ofver all data points ii inn the training set.