In your mnist example, what is the relationship between all of the kernels you get for training to distinguish each pair of digit classes? Is there a natural wa

In your mnist example, what is the relationship between all of the kernels you get for training to distinguish each pair of digit classes? Is there a natural way to intersect random forests or their kernels to get at their "common knowledge"? Is there a way to union them to get their "collective knowledge", and if so, how does that fare against an algorithm that learns all the classes simultaneously?