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math.ST2026
Sharp convergence rate of the estimation error of LASSO via the Feature Space Decomposition method
Guillaume Lecué, Zong Shang
In this paper, we use the Feature Space Decomposition (FSD) method to establish an explicit, non-asymptotic, instance-optimal convergence rate for the estimation error of the LASSO…
math.ST2026
Benign Overfitting Property of the Minimum -norm Interpolant Estimator in Regression Problem via Feature Space Decomposition
Radosław Adamczak, Guillaume Lecué, Zong Shang +1
This paper establishes high-probability, non-asymptotic upper bounds for the population excess risk of minimum -norm interpolating estimators in linear regression, valid fo…
math.ST2026
The Geometry of Statistical Feature Learning in Mean-Field Langevin Dynamics
Zong Shang, Tomoya Wakayama, Guillaume Lecué +1
We introduce a geometric formulation of statistical feature learning for supervised regression. Feature learning is defined through a base--fiber decomposition: the base is the fea…