Foundations of Computational Mathematics

Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces

• Open Access

Philipp Grohs, Felix Voigtlaender

BGG Sequences with Weak Regularity and Applications

• Open Access

Andreas Čap, Kaibo Hu

Symmetry and Invariant Bases in Finite Element Exterior Calculus

• Open Access

Martin W. Licht

Further -Complete Problems with PSD Matrix Factorizations

Yaroslav Shitov

Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems

• Open Access

Ajay Jasra, Kody J. H. Law, Neil Walton, Shangda Yang

Bias in the Representative Volume Element method: Periodize the Ensemble Instead of Its Realizations

• Open Access

Nicolas Clozeau, Marc Josien, Felix Otto, Qiang Xu

High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays

• Open Access

Robert Szczelina, Piotr Zgliczyński