Publications

Unless otherwise indicated by ^†, authors are listed in lexicographic order in all papers.

Journal Articles

• A geometrical analysis of kernel ridge regression and its applications, G. Gavrilopoulos, G. Lecué, and Z. 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 Z. 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 Z. Shang. arXiv preprint arXiv:2512.14473, 2025.
• Upper bounds for the Lq empirical process via generic chaining, Z. Shang. arXiv preprint arXiv:2511.06338, 2025.
• The Geometry of Statistical Feature Learning in Mean-Field Langevin Dynamics^†, Z. Shang, T. Wakayama, G. Lecué and T. Suzuki. arXiv preprint arXiv:2606.31429, 2026.

Working Papers

• Benign overfitting property of the minimum norm interpolant estimator via Feature Space Decomposition, R. Adamczak, G. Lecué, Z. Shang, and M. Strzelecka. In preparation.