(where the only symmetric case was considered), we show, focusing on support vector binary classification, how such embedding is possible through the choice of a suitable pairwise kernel, which takes as inputs
Symmetry: a relation is symmetric if a∼b implies b∼a. Transitivity: a relation is transitive if a∼b and b∼c implies a∼c. Relations which satisfy all three of these properties are called equivalence relations. The equality of numbers is the most familiar example of an equivalence...
3× 3 anti-symmetric matrices, equipped with the usual commutator. (iii) ℝ3 equipped with vector multiplication. In fact, example (iii) is essentially the same as example (ii); and this example will recur in what follows, in connection with rotations and the rigid body. (We will also...
(2012) (where the only symmetric case was considered), we show, focusing on support vector binary classification, how such embedding is possible through the choice of a suitable pairwise kernel, which takes as inputs the individual feature vectors and also the group feature vectors associated ...