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~x ~β︸︷︷︸ ImplizitesSkalarprodukt Und warum jetzt β0 + 〈 ~x , ~β 〉 statt 〈 ~x , ~β 〉 − β0? Warum nicht? Vorher β0 = 〈 ~β , ~a 〉 > 0, es geht auch β0 < 0. 8 von 39 Hinführungen zur SVM Maximum Margin Methode [...] , ~β〉+ β0 = 0 } H1 H2 + + + + + − − − − − − − Der Abstand der mittleren Ebene H∗ zum Ursprung beträgt d(~0,H∗) = β0 ‖~β‖ Der Abstand zwischen den Ebenen H1 und H2 ist d(H1,H2) = β0+1 ‖~β‖ − β0−1 ‖~β‖ = [...] mittleren Ebene H∗ zum Ursprung beträgt d(~0,H∗) = β0 ‖~β‖ Der Abstand zwischen den Ebenen H1 und H2 ist d(H1,H2) = β0+1 ‖~β‖ − β0−1 ‖~β‖ = β0−β0+1+1 ‖~β‖ = 2 ‖~β‖ 20 von 39 Hinführungen zur SVM Maximum Margin …