In preparation

• A Priori Error Bounds for Boundary-Adapted PINN Solutions of Elliptic PDEs: Application to Mean Escape Time Problems (2026)
  N. Tepakbong, J. Fan, X. Zhou, D.-X. Zhou (In preparation)

Submitted and/or published papers

• Taming the Loss Landscape of PINNs with Noisy Feynman–Kac Supervision: Operator Preconditioning and Non-Asymptotic Error Bounds (2026)
  N. Tepakbong, H. Hu, C. Liu, X. Zhou. Accepted for publication at ICML 2026: openreview link.

• Super-fast rates of convergence for Neural Networks Classifiers under the Hard Margin Condition (2026)
  N. Tepakbong, X. Zhou, D.-X. Zhou. Accepted for publication at TMLR: openreview link.

• Initialization of the Circulant Embedding method to speed up the generation of Gaussian random fields (2022)
  G. Pichot, S. Legrand, M. Kern, N. Tepakbong
  The SMAI Journal of computational mathematics, Volume 8 (2022), pp. 327-347: journal link.