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Perhaps i am wrong but i feel that there is two meaning behind linear discriminant analysis. In French we have two methods called:

Is there only one terminologie in English for theses two approach ? If yes what is the reason, how theses two methods are correlated (the second one seems more generic and seems a good way to reduce dimension before running a classification method such an svm)?

Thanks

Edit: I think (from Wikipedia) that the generative method is called LDA and the geometric one is called Fisher discriminant analysis.

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The first ine is a generic aproach wich suppose equalitty of covariance. The second one is more general in the sense that ir doesn' t lay on such hypothesis and just lay on geometric view. The second one is sometifes called Fisher discriminant analysis. The two approach lead to the same result whan the gaussian assumption and the equality of covariance is true.

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