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Major Oral - Ranking and empirical minimization of U-statistics

Chao Chang, Department of Mathematics, Washington University in St. Louis

April 25, 2012 - 9:30 am to 11:00 am
Location: Cupples I, Room 6 | Host: Prof. Nan Lin

Abstract: We formulate the ranking problem in a rigorous statistical framework. The goal is to learn a ranking rule to have minimum ranking risk. The natural estimates of the risk have the form of U-statistics. With results of the theory of U-processes, we investigate the consistency of empirical risk minimizers. A fast rate of convergence can be achieved under some noise assumptions. Finally, we investigate the consistency of the augmented ranking risk minimizer, which can reduce the computational complexity.

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