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Seminar Series Topics in Systems: The Uniform Law of Large Numbers of Vapnik and Chervonenkis

January 30, 2015 @ 1:30 pm - 3:00 pm

Room 333 Wisenbaker (fishbowl)
P.R. Kumar

I will provide a proof of the fundamental result that there is uniform convergence in the weak law of large numbers when the Vapnik-Chervonenkis dimension is finite.

Based on the paper: V. Vapnik and A. Chervonenkis, β€œOn the Uniform Convergence of Relative Frequencies of Events to Their Probabilities.”
Theory of Probability and Its Applications. 16(2), 264–280, 1971.


January 30, 2015
1:30 pm - 3:00 pm