Square root penalty: Adaptation to the margin in classification and in edge estimation
Square root penalty: Adaptation to the margin in classification and in edge estimation
We consider the problem of adaptation to the margin in binary classification. We suggest a penalized empirical risk minimization classifier that adaptively attains, up to a logarithmic factor, fast optimal rates of convergence for the excess risk, that is, rates that can be faster than n−1/2, where n is the …