I reverted to the list form for the paper layout. Aesthetically, I like encoding a list in a list rather then a list in a paragraph and space does not seem to be an issue. There is some sort of compact list thing which is possible in latex as well if space becomes an issue. >In 2.2: Is "decided" correct? I'd write "certain". Didnt change it though. I like "decided" because we are making a "decision" by weighted voting. But my inclination is not strong either way. footnote 6 rewritten Altered hoeffding bound statement slightly. Fiddled with the 'example' section in various ways. I do not understand the comment: "In all applications of MRED we know of, the class of discriminant functions {\em is} uniformly bounded if we restrict ourselves to a bounded region in ${\cal X}$ where all the data lies with high probability." Presumably, you mean something like "if you use an exponential family with compact support then the probability is always greater then zero so the discriminant is bounded." This seems ... like a bit of a stretch. It _is_ bounded. But the bound is exponentially large, and given that the variance increases with the bound^2, this will not be a very strong statement in practice. I think I would prefer to not make this statement because it is sort of misleading. Removing and adding a note about the algorithm directly motivated by our bound. I like the note because it is interesting to think about the algorithm directly motivated by the bound _and_ it helps emphasize how the MRED criteria doesn't quite fit.