STORY%MIT-MC@sri-unix.UUCP (03/31/84)
[Forwarded from the MIT bboard by SASW@MIT-MC.] TITLE: "A THEORY OF THE LEARNABLE" SPEAKER: Professor L.G. Valiant, Harvard University DATE: Thursday, April 5, 1984 TIME: 3:45 Refreshments 4:00 Lecture PLACE: NE43-512a We consider concepts as represented by programs for recognizing them and define learning as the process of acquiring such programs in the absence of any explicit programming. We describe a methodology for understanding the limits of what is learnable as delimited by computational complexity. The methodology consists essentially of choosing some natural information gathering mechanism, such as the observation of positive examples of the concept, and determining the class of concepts that can be learnt using it in a polynomial number of steps. A probabilistic definition of learnability is introduced that leads to encouraging positive results for several classes of propositional programs. The ultimate aim of our approach is to identify once and for all the maximum potential of learning machines. HOST: Professor Silvio Micali