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New framework estimates generalization error for non-smooth regression

Researchers have developed a novel recursive framework for estimating generalization error in non-smooth regression problems, specifically addressing challenges posed by non-differentiable data-fitting losses. This new method is applicable to algorithms like the Chambolle--Pock algorithm and other primal-dual splitting techniques. The approach estimates risk by adjusting in-sample fitted values with a weighted combination of past dual iterates, constructing data-driven corrections that do not require knowledge of the design covariance. AI

IMPACT This research could lead to more accurate risk estimation in machine learning models with non-differentiable components.

RANK_REASON The cluster contains an academic paper detailing a new statistical method. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New framework estimates generalization error for non-smooth regression

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Kai Tan, Pierre C Bellec ·

    Generalization Error Estimation for Primal--Dual Algorithms in Non-Smooth Regression

    arXiv:2608.13870v1 Announce Type: cross Abstract: This paper studies trajectory-wise estimation of generalization error for primal--dual algorithms in non-smooth regression. Motivating examples include \(\ell_1\)-penalized least absolute deviations regression and square-root Lass…