Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture. - Alena Kopanicáková; Rolf Krause (CoRR, 2019)

Subdivision-Based Nonlinear Multiscale Cloth Simulation. - Alena Kopanicáková; Rolf Krause; Rasmus Tamstorf (SIAM J. Sci. Comput., 2019)

Multilevel Minimization for Deep Residual Networks. - Lisa Gaedke-Merzhäuser; Alena Kopanicáková; Rolf Krause (CoRR, 2020)

A Multilevel Approach to Training. - Vanessa Braglia; Alena Kopanicáková; Rolf Krause (CoRR, 2020)

Large scale simulation of pressure induced phase-field fracture propagation using Utopia. - Patrick Zulian; Alena Kopanicáková; Maria Giuseppina Chiara Nestola; Andreas Fink; Nur Aiman Fadel; Joost VandeVondele; Rolf Krause (CCF Trans. High Perform. Comput., 2021)

A Matrix-free Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods. - Hardik Kothari; Alena Kopanicáková; Rolf Krause (CoRR, 2021)

Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization. - Alena Kopanicáková; Rolf Krause (CoRR, 2021)

Training of deep residual networks with stochastic MG/OPT. - Cyrill von Planta; Alena Kopanicáková; Rolf Krause (CoRR, 2021)

Nonlinear Field-split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture. - Alena Kopanicáková; Hardik Kothari; Rolf Krause (CoRR, 2022)

Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints. - Hardik Kothari; Alena Kopanicáková; Rolf Krause (CoRR, 2022)

On the use of hybrid coarse-level models in multilevel minimization methods. - Alena Kopanicáková (CoRR, 2022)

Parallel Trust-Region Approaches in Neural Network Training: Beyond Traditional Methods. - Ken Trotti; Samuel A. Cruz Alegría; Alena Kopanicáková; Rolf Krause (CoRR, 2023)

Globally Convergent Multilevel Training of Deep Residual Networks. - Alena Kopanicáková; Rolf Krause (SIAM J. Sci. Comput., 2023)

Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training. - Serge Gratton; Alena Kopanicáková; Philippe L. Toint (SIAM J. Optim., 2023)

Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications. - Youngkyu Lee; Alena Kopanicáková; George Em Karniadakis (CoRR, 2024)

The limitations of a standard phase-field model in reproducing jointing in sedimentary rock layers. - Edoardo Pezzulli; Patrick Zulian; Alena Kopanicáková; Rolf Krause; Thomas Driesner (CoRR, 2024)

Two-level trust-region method with random subspaces. - Andrea Angino; Alena Kopanicáková; Rolf Krause (CoRR, 2024)

Blending neural operators and relaxation methods in PDE numerical solvers. - Enrui Zhang; Adar Kahana; Alena Kopanicáková; Eli Turkel; Rishikesh Ranade; Jay Pathak; George Em Karniadakis (Nat. Mac. Intell., 2024)

Enhancing Training of Physics-Informed Neural Networks Using Domain Decomposition-Based Preconditioning Strategies. - Alena Kopanicáková; Hardik Kothari; George E. Karniadakis; Rolf Krause (SIAM J. Sci. Comput., 2024)

DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations. - Alena Kopanicáková; George Em Karniadakis (SIAM J. Sci. Comput., 2025)

Data-Parallel Neural Network Training via Nonlinearly Preconditioned Trust-Region Method. - Samuel A. Cruz Alegría; Ken Trotti; Alena Kopanicáková; Rolf Krause (CoRR, 2025)

Recursive Bound-Constrained AdaGrad with Applications to Multilevel and Domain Decomposition Minimization. - Serge Gratton; Alena Kopanicáková; Philippe L. Toint (CoRR, 2025)

Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method. - Alena Kopanicáková; Youngkyu Lee; George Em Karniadakis (CoRR, 2025)