@article{14:33,author={Ming-Jie Zhao and Narayanan Edakunni and Adam Pocock and Gavin Brown}, Title={Beyond Fano's Inequality: Bounds on the Optimal F-Score, BER, and Cost-Sensitive Risk and Their Implications},journal={Journal of Machine Learning Research},volume={14}, url={http://www.jmlr.org/papers/volume14/zhao13a/zhao13a.pdf}}