Optimizing Generalized Rate Metrics with
            Three Players

           Harikrishna Narasimhan, Andrew Cotter, Maya Gupta
                    Google Research
            1600 Amphitheatre Pkwy, Mountain View, CA 94043
           {hnarasimhan, acotter, mayagupta}@google.com

                       Abstract
     We present a general framework for solving a large class of learning problems
     with non-linear functions of classification rates. This includes problems where
     one wishes to ...