Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks. - Marcello Longo; Siddhartha Mishra; T. Konstantin Rusch; Christoph Schwab (SIAM J. Sci. Comput., 2021)

De Rham compatible Deep Neural Networks. - Marcello Longo; Joost A. A. Opschoor; Nico Disch; Christoph Schwab; Jakob Zech (CoRR, 2022)

Adaptive Quasi-Monte Carlo Finite Element Methods for Parametric Elliptic PDEs. - Marcello Longo (J. Sci. Comput., 2022)

Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification. - Josef Dick; Marcello Longo; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2022)

A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure. - Marcello Longo; Christoph Schwab; Andreas Stein (CoRR, 2023)

De Rham compatible Deep Neural Network FEM. - Marcello Longo; Joost A. A. Opschoor; Nico Disch; Christoph Schwab; Jakob Zech (Neural Networks, 2023)

The fast reduced QMC matrix-vector product. - Josef Dick; Adrian Ebert; Lukas Herrmann; Peter Kritzer; Marcello Longo (J. Comput. Appl. Math., 2024)