Clarification: I’m not the author of the linked post, I’m just linking it here on behalf of the author (who objects to signing up for things with facebook). I found the most interesting part to be the observation about pointwise convergence—because the LI framework proves its results pointwise, it cannot guarantee that each result which is proved about P_infty will obtain for any finite time n; see also his example about preemptive learning, where for an infinite set of e.c sequences, there may be no finite n that works for all of the set.
Clarification: I’m not the author of the linked post, I’m just linking it here on behalf of the author (who objects to signing up for things with facebook). I found the most interesting part to be the observation about pointwise convergence—because the LI framework proves its results pointwise, it cannot guarantee that each result which is proved about P_infty will obtain for any finite time n; see also his example about preemptive learning, where for an infinite set of e.c sequences, there may be no finite n that works for all of the set.