So let me just conclude this lecture with some results on the parsing problem using the reranking models that I just described to you, in conjunction with the perception. So in one set of experiments by myself and Terry Koon, we started with a baseline model which was electrolyzed. PCFG. Which, at least, at the time, was very close to the state of the art in parsing. And that scores around 88% precision and recall. Remember, f measure is a kind of average of precision and recall, in recovering sub constituents within a parse true. The reranked model that I just described scores 89.5% f-measure, which is about 11% relative error reduction. So about 11% of errors have been corrected by the reranking model. So that's a fairly significant improvement, given that these models are starting to reach quite high levels of accuracy. This is actually a pretty significant improvement, and indeed I had developed these lexicalized P, PCFG's during my Ph.D thesis, and it was very, very hard to push these any further other than this 88.2% measure which we see here. Here are some other results more recently from Eugene Charniak and Mark Johnson in 2005. They employed a similar approach. But they had better and best lists, better features, and also importantly a better baseline model than this model I've shown you here. And they pushed accuracy from about 89.7% to 91% accuracy. This is actually very, very close to the state of the art in parsing performance. So, the reranking model, again, gives a pretty significant gain and actually produced one of the very best results we've seen on parsing. What I've shown you, though, in this lecture, is a quite new way of thinking about these supervised learning problems that we see in natural language processing. This idea of global linear models defined through gen f and v, and finally the perception algorithm as one way of training these parameters v. They give significant improvements on these reranking problems, but perhaps most importantly they're going to open up a whole new way of thinking about algorithms for problems such as translation or tagging and parsing. And we'll see how we can apply these models in several other contexts in the final week of lectures, which is the next week of this class.