The Active Mind theory agrees with empiricism that sensory data is needed for knowledge about the world, and it agrees with rationalism that reason is needed for knowledge of any sort. It does not distinguish between a priori and a posteriori knowledge, nor does it distinguish between analytic and synthetic knowledge. The only distinction that it makes is between axiomatic knowledge and existential knowledge. Axiomatic knowledge is about what must always be so no matter what. Knowledge of logic and math is axiomatic.
Existential knowledge is about what exists.
We attain our first existential knowledge by using our axiomatic knowledge to integrate and make sense of our sensations. To gain further existential knowledge, we use our axiomatic knowledge, plus the existential knowledge we already have, to integrate our sensations. For the Active Mind theory, there is no such thing as a posteriori knowledge. Kant's theory is similar to the Active Mind theory, but differs from it in one crucial respect. Kant's theory denies that true knowledge about the world is possible.