Degrees of Freedom in Penalized Regression: Model Selection with Adaptive Penalties
惩罚回归中的自由度:自适应惩罚下的模型选择
Model selection in penalized regression critically depends on an accurate assessment of model complexity, commonly quantified through the effective degrees of freedom. While the Lasso admits a simple and unbiased characterization, given by the size of the active set, this property does not extend to adaptive penalization methods, despite the widespread use of this approximation in practice. To solve this issue, in this paper we derive a novel unbiased estimator of the…