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  • $\begingroup$ Well, according to Bishop's PRML (p 43 microsoft.com/en-us/research/uploads/prod/2006/01/… ) "Approaches that model the posterior probabilities directly are called discriminative models.", this is why I am confused $\endgroup$ Commented Jan 8, 2022 at 22:26
  • $\begingroup$ According to Jebara, Tony (2004). Machine Learning: Discriminative and Generative: Even if a classification does not use any probability it is still discriminative. But still: Franc et al. (icml.cc/Conferences/2011/papers/386_icmlpaper.pdf) can show that SVM are a Probabilistic Model with conditional probabilities which meets your definition of Bishop and the general one as well. $\endgroup$ Commented Jan 9, 2022 at 8:08