1. Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities

   • Martin Hutzenthaler
   • Arnulf Jentzen
   • Thomas Kruse

   OriginalPaper Open access 13 July 2021 Pages: 905 - 966

2. The Topological Correctness of PL Approximations of Isomanifolds

   • Jean-Daniel Boissonnat
   • Mathijs Wintraecken

   OriginalPaper Open access 13 July 2021 Pages: 967 - 1012

   

3. Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories

   • Fei Lu
   • Mauro Maggioni
   • Sui Tang

   OriginalPaper Open access 13 July 2021 Pages: 1013 - 1067

   

4. A Framework for Differential Calculus on Persistence Barcodes

   • Jacob Leygonie
   • Steve Oudot
   • Ulrike Tillmann

   OriginalPaper Open access 13 July 2021 Pages: 1069 - 1131

   

5. The Saddle Point Problem of Polynomials

   • Jiawang Nie
   • Zi Yang
   • Guangming Zhou

   OriginalPaper Open access 09 July 2021 Pages: 1133 - 1169

6. Kurdyka–Łojasiewicz Exponent via Inf-projection

   • Peiran Yu
   • Guoyin Li
   • Ting Kei Pong

   OriginalPaper 09 July 2021 Pages: 1171 - 1217

7. Distributed Learning via Filtered Hyperinterpolation on Manifolds

   • Guido Montúfar
   • Yu Guang Wang

   OriginalPaper Open access 12 July 2021 Pages: 1219 - 1271