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May 10, 2018 at 17:56 comment added James LT Also, linear regression is only equivalent to MLE when we assume the error has a normal distribution.
Aug 5, 2017 at 4:27 comment added user20160 I agree with the things you said in your answer. Regarding the last comment, I wouldn't say that MAP is a generative model. It's an approach for estimating parameters (not a model at all), and can be used with either generative or discriminative models. For example, MAP estimation could be used to fit a logistic regression model w/ priors, which is a discriminative model.
Aug 3, 2017 at 16:01 vote accept Pugl
Aug 3, 2017 at 16:00 comment added Haitao Du @Pegah MAP can be viewed as a generative model and logistic regression is a discriminative model, which we only focusing on getting $P(Y|X)$. this paper may help. ai.stanford.edu/~ang/papers/nips01-discriminativegenerative.pdf
Aug 3, 2017 at 15:57 comment added Pugl What I mean is this: When we optimize with MAP, we maximize the posterior, i.e. we maximize likelihood x prior. In the logisitic regression context, we maximize however the likelihood function as quoted above. This likelihood function however has class conditioned on data similar to the posterior of say a bayesian classifier. Sorry if it is not understandable, not sure how to put it differently
Aug 3, 2017 at 15:47 history edited Haitao Du CC BY-SA 3.0
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Aug 3, 2017 at 15:46 history answered Haitao Du CC BY-SA 3.0