167532.pdf

t points on the unit circle (see Figure 12) are: x1 = ( ( 2 3 , $1, 6 , $1, 6 ) x2 = ( $1, 6 , ( 2 3 , $1, 6 ) x3 = ( $1, 6 , $1, 6 , ( 2 3 ) (23) One consequence of the symmetry is that the angle between [...] the training data become support vectors (as in Sections 3.3 and 6.2). Note that this can happen when the problem has some symmetry (Section 3.3), but that it can also happen when it does not (Section 6 [...] & < $. The phase at x2, mod 2$, is 2&; then y2 = 1 ( 0 < & < $/2. Similarly, point x3 forces & > $/3. Then at x4, $/3 < & < $/2 implies that f(x4,!) = $1, contrary to the assigned label. These four points …