An Algorithm for Unconstrained Quadratically Penalized Convex Optimization

作者:Ellis Steven P*
来源:Communications in Statistics - Simulation and Computation, 2011, 40(7): 1006-1029.
DOI:10.1080/03610918.2011.560734

摘要

Estimators are often defined as the solutions to data dependent optimization problems. A common form of objective function to be optimized) that arises in statistical estimation is the sum of a convex function V and a quadratic complexity penalty. A standard paradigm for creating kernel-based estimators leads to such an optimization problem. This article describes an optimization algorithm designed for unconstrained optimization problems in which the objective function is the sum of a non negative convex function and a known quadratic penalty. The algorithm is described and compared with BFGS on some penalized logistic regression and penalized L3/2 regression problems.

  • 出版日期2011

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