Publications

In all papers, authors are listed in lexicographic order.

Journal Articles

• A geometrical analysis of kernel ridge regression and its applications, G. Gavrilopoulos, G. Lecué, and Zong Shang. Annals of Statistics, 2025.
• A geometrical viewpoint on the benign overfitting and self-induced regularization properties of the minimum l_2-norm interpolant estimator, G. Lecué, and Zong Shang. Probability Theory and Related Fields, 2024.

Preprints

• Sharp convergence rates for Spectral methods via the feature space decomposition method, G. Lecué, Z. Li, and Zong Shang. arXiv preprint arXiv:2512.14473, 2025.
• Upper bounds for the Lq empirical process via generic chaining, Zong Shang. arXiv preprint arXiv:2511.06338, 2025.

Working Papers

• On the generalization error of mean field shallow neural network, G. Lecué, Zong Shang, T. Suzuki, and T. Wakayama. In preparation.
• Benign overfitting property of the minimum norm interpolant estimator via Feature Space Decomposition, R. Adamczak, G. Lecué, Zong Shang, and M. Strzelecka. In preparation.