Bundle methods for machine learning

Abstract

We present a globally convergent method for regularized risk minimization problems. Our method applies to Support Vector estimation, regression, Gaussian Processes, and any other regularized risk minimization setting which leads to a convex optimization problem. SVMPerf can be shown to be a special case of our approach. In addition to the unified framework we present tight convergence bounds, which show that our algorithm converges in O(1=ε) steps to ε precision for general convex problems and in O(log(1=ε)) steps for continuously differentiable problems. We demonstrate in experiments the performance of our approach. Show more