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Mathematically, how do Discriminative Models and Generative Models differ fundam...

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Mathematically, how do Discriminative Models and Generative Models differ fundamentally in their probabilistic objectives?

Discriminative models model P(Y|X), while Generative models model P(X,Y) or P(X)

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Discriminative models calculate P(X,Y), Generative models calculate P(Y|X)

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No distinction

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Discriminative models optimize P(X), Generative models optimize P(Y)

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