4.2.1 Classification under linear-separability Let us consider a linear machine in the feature space that, as previously described in Section 4.1, is represented by (1) where . We start considering a classifica
ga is used to find a better selection of the position of the imaginary axis. therefore, the ga is used to find an optimized position for the imaginary axis, where the projection of each point on this axis produces a maximum separability between the groups in question. consequently, eq. ...
Linear maps preserving separability of pure states. Linear Algebra Appl. 2013, 439, 1245–1257. [Google Scholar] [CrossRef] Girard, M.; Leung, D.; Levick, J.; Li, C.K.; Paulsen, V.; Poon, Y.T.; Watrous, J. On the mixed-unitary rank of quantum channels. Commun. Math. Phys....
The proof of the general formulas is based on the results of [32], taking into account the separability properties of spectral expansion ns of Gramians. The validity of the formulas of the modal Lyapunov Equations (16)–(19) is established by substituting the formulas into the original Lyapun...