Alena Kopanicakova

Submitted manuscripts (under review)

DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations (2023), A. Kopaničáková, G. Em Karniadakis, Under review. [BibTeX] [Preprint]

@unpublished{kopanicakova_2024_j1,
  title = {{DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations}},
  author={Kopani{\v c}{\'a}kov{\'a} Alena and Karniadakis George Em},
  year={2024},
  archivePrefix="arXiv",
  eprint={2401.02016},
}

Parallel Trust-Region Approaches in Neural Network Training: Beyond Traditional Methods (2023), S. Cruz, K. Trotti, A. Kopaničáková, R. Krause, Under review. [BibTeX] [Preprint]

@unpublished{trotti_23,
  title = {{Parallel Trust-Region Approaches in Neural Network Training: Beyond Traditional Methods}},
  author  = {Cruz, Samuel and Trotti, Ken and Kopani{\v c}{\'a}kov{\'a}, Alena and Krause, Rolf},
  year={2023},
  archivePrefix="arXiv",
  eprint={2312.13677},
}

Publications in peer-reviewed journals and book chapters

Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies (2023), A. Kopaničáková, H. Kothari, G. Em Karniadakis, R. Krause, Accepted for publication in SIAM Journal on Scientific Computing (SISC) [Link] [BibTeX] [Preprint]

@unpublished{kopanicakova_pinnspqn_2023,
  title={Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies},
  author={Kopani{\v c}{\'a}kov{\'a} Alena and Kothari Hardik and Karniadakis George Em and Krause Rolf},
  year={2023},
  archivePrefix="arXiv",
  eprint={2306.17648},
}

Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training (2023), S. Gratton, A. Kopaničáková, Ph. Toint, SIAM Journal on Optimization [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2023a,
  author = {Gratton, Serge and {Kopani\v{c}\'{a}kov\'{a}}, Alena and Toint, Philippe L.},
  title = {Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training},
  journal = {SIAM Journal on Optimization},
  volume = {33},
  number = {4},
  pages = {2772-2800},
  year = {2023},
  doi = {10.1137/23M1553455},
}

Globally convergent multilevel training of deep residual networks (2023), A. Kopaničáková, R. Krause, SIAM Journal on Scientific Computing [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2021g,
  author  = {Kopani{\v c}{\'a}kov{\'a},  Alena and Krause, Rolf},
  title = {{G}lobally {C}onvergent {M}ultilevel {T}raining of {D}eep {R}esidual {N}etworks},
  journal = {SIAM Journal on Scientific Computing},
  volume = {0},
  number = {0},
  pages = {S254-S280},
  doi = {10.1137/21M1434076},
  year = {2022},
}

Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture (2023), A. Kopaničáková, H. Kothari, R. Krause, Computer Methods in Applied Mechanics and Engineering [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2021f,
    title={Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture},
    author={Kopani{\v c}{\'a}kov{\'a}, Alena and Kothari, Hardik and Krause, Rolf},
    journal={Computer Methods in Applied Mechanics and Engineering},
    volume={403},
    pages={115733},
    year={2023},
    publisher={Elsevier},
}

A Phase-Field Approach to Pneumatic Fracture (2022), C. Bilgen, A. Kopaničáková, R. Krause, K. Weinberg, Non-standard Discretisation Methods in Solid Mechanics [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2022b,
  author="Bilgen, Carola and Kopani{\v c}{\'a}kov{\'a},  Alena and Krause, Rolf and Weinberg, Kerstin",
  editor="Schr{\"o}der, J{\"o}rg and Wriggers, Peter",
  title="A Phase-Field Approach to Pneumatic Fracture",
  bookTitle="Non-standard Discretisation Methods in Solid Mechanics",
  year="2022",
  pages="217--241",
}

Large scale simulation of pressure induced phase‐field fracture propagation using Utopia (2021), P. Zulian*, A. Kopaničáková*, M. Nestola, N. Fadel, A. Fink, J. VandeVondele, R. Krause, CCF Transactions on High Performance Computing [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2021a,
  author = {Zulian{*}, Patrick and {Kopani{\v{c}}{\'a}kov{\'a}*},  Alena and Nestola, Maria G C and Fadel, Nur and Fink, Andreas and VandeVondele, Joost and Krause, Rolf},
  title = {Large scale simulation of pressure induced phase‐field fracture propagation using {U}topia},
  journal = {CCF Transactions on High Performance Computing},
  year = {2021},
  doi = {10.1007/s42514-021-00069-6},
}

Efficient Identification of Scars using Heterogeneous Model Hierarchies. (2021), F. Chegini, A. Kopaničáková, R. Krause, M. Weiser, EP Europace [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2020b,
    author={Chegini, Fatemeh and {Kopani{\v{c}}{\'{a}}kov{\'{a}}},  Alena and Krause, Rolf and Weiser, Martin},
    title={Efficient Identification of Scars using Heterogeneous Model Hierarchies},
    journal={EP Europace},
    volume={23},
    number={Supplement\_1},
    pages={i113--i122},
    year={2021},
    publisher={Oxford University Press},
}

A detailed investigation of the model influencing parameters of the phase-field fracture approach. (2020), C. Bilgen, A. Kopaničáková, R. Krause, K. Weinberg, GAMM-Mitteilungen [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2019c,
    author  = {Bilgen, Carola and {Kopani{\v{c}}{\'{a}}kov{\'{a}}},  Alena and Krause, Rolf and Weinberg, Kerstin},
    title   = {{A} detailed investigation of the model influencing parameters of the phase-field fracture approach.},
    journal={GAMM-Mitteilungen},
    volume={43},
    number={2},
    pages={e202000005},
    year={2020},
    publisher={Wiley Online Library},
}

Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020), A. Kopaničáková, R. Krause, Computer Methods in Applied Mechanics and Engineering [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2019b,
  author  = {{Kopani{\v{c}}{\'{a}}kov{\'{a}}},  Alena and Krause, Rolf},
  title   = {{R}ecursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture.},
  journal={Computer Methods in Applied Mechanics and Engineering},
  volume={360},
  pages={112720},
  year={2020},
  publisher={Elsevier},  
}

Subdivision-Based Nonlinear Multiscale Cloth Simulation (2019), A. Kopaničáková, R. Krause, R. Tamstorf, SIAM Journal on Scientific Computing [Link] [BibTeX] [Preprint]

@article{Kopanicakova_2019a,
  author  = {{Kopani{\v c}{\'a}kov{\'a}},  Alena and Krause, Rolf and Tamstorf, Rasmus},
  title = {Subdivision-Based Nonlinear Multiscale Cloth Simulation},
  journal = {SIAM Journal on Scientific Computing},
  volume = {41},
  number = {5},
  pages = {S433-S461},
  year = {2019},
  doi = {10.1137/18M1194870},
  URL = { https://doi.org/10.1137/18M1194870},
}

A phase-field approach to conchoidal fracture (2017), C. Bilgen, A. Kopaničáková, R. Krause, K. Weinberg, Meccanica [Link] [BibTeX] [Preprint]

@article{kopanicakova_nonlinear_2023,
  author  = {Bilgen, Carola and {Kopani{\v c}{\'a}kov{\'a}},  {A}lena and Krause, Rolf and Weinberg, Kerstin},
  title   = {{A} phase-field approach to conchoidal fracture},
  journal = {Meccanica},
  year    = {2017},
  pages   = {1--17},     
}

Publications in peer-reviewed conference proceedings

On the use of hybrid coarse-level models in multilevel minimization methods (2024), A. Kopaničáková, Accepted for publication in Domain Decomposition Methods in Science and Engineering XXVII [Link] [BibTeX] [Preprint]

@unpublished{Kopanicakova_2022f,
  title={On the use of hybrid coarse-level models in multilevel minimization methods},
  author={Alena Kopaničáková},
  year={2022},
  archivePrefix="arXiv",
  eprint={2211.15078},
}

Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints (2024), H. Kothari, A. Kopaničáková, R. Krause, Accepted for publication in Domain Decomposition Methods in Science and Engineering XXVII [Link] [BibTeX] [Preprint]

@unpublished{kothari_raspqn_const_2022,
  title={Nonlinear {S}chwarz preconditioning for nonlinear optimization problems with bound constraints},
  author={Hardik Kothari and Alena Kopaničáková and Rolf Krause},
  year={2022},
  archivePrefix="arXiv",
  eprint={2211.14780},
}

A Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods (2023), H. Kothari, A. Kopaničáková, R. Krause, Domain Decomposition Methods in Science and Engineering XXVI [Link] [BibTeX] [Preprint]

@InProceedings{kothari_multigrid_2023,
  author="Kothari, Hardik
          and Kopani{\v{c}}{\'a}kov{\'a}, Alena
          and Krause, Rolf",
  editor="Brenner, Susanne C.
          and Chung, Eric
          and Klawonn, Axel
          and Kwok, Felix
          and Xu, Jinchao
          and Zou, Jun",
  title="A Multigrid Preconditioner for Jacobian-free Newton--Krylov Methods",
  booktitle="Domain Decomposition Methods in Science and Engineering XXVI",
  year="2023",
  publisher="Springer International Publishing",
  address="Cham",
  pages="365--372",
}

Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization (2023), A. Kopaničáková, R. Krause, Domain Decomposition Methods in Science and Engineering XXVI [Link] [BibTeX] [Preprint]

@InProceedings{Kopanicakova_2021c,
  author="Kopani{\v{c}}{\'a}kov{\'a}, Alena
          and Krause, Rolf",
  editor="Brenner, Susanne C.
          and Chung, Eric
          and Klawonn, Axel
          and Kwok, Felix
          and Xu, Jinchao
          and Zou, Jun",
  title="{M}ultilevel {A}ctive-{S}et {T}rust-{R}egion {(MASTR)} {M}ethod for {B}ound {C}onstrained {M}inimization}",
  booktitle="Domain Decomposition Methods in Science and Engineering XXVI",
  year="2023",
  publisher="Springer International Publishing",
  address="Cham",
  pages="355--363",
}

Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology (2023), F. Chegini, A. Kopaničáková, R. Krause, M. Weiser, Domain Decomposition Methods in Science and Engineering XXVI [Link] [BibTeX] [Preprint]

@InProceedings{Kopanicakova_2021d,
  author="Chegini Fatemeh
          and Kopani{\v{c}}{\'a}kov{\'a}, Alena
          and Krause, Rolf
          and Weiser, Martin",
  editor="Brenner, Susanne C.
          and Chung, Eric
          and Klawonn, Axel
          and Kwok, Felix
          and Xu, Jinchao
          and Zou, Jun",
  title="Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology",
  booktitle="Domain Decomposition Methods in Science and Engineering XXVI",
  year="2023",
  publisher="Springer International Publishing",
  address="Cham",
  pages="67--78",
}

Training of residual networks with stochastic MG/Opt (2021), C. von Planta, A. Kopaničáková, R. Krause, ICML 2021 Workshop Beyond First Order Methods in Machine Learning [Link] [BibTeX] [Preprint]

@InProceedings{Kopanicakova_2021e,
  title={Training of residual networks with stochastic {MG}/{O}pt},
  author={von Planta, Cyrill and {Kopani{\v{c}}{\'a}kov{\'a}}, Alena and Krause, Rolf},
  booktitle={ICML 2021 Workshop: Beyond First Order Methods in Machine Learning},
  year={2021}, 
}

Multilevel minimization for deep residual networks (2021), L. Gaedke-Merzhauser*, A. Kopaničáková*, R. Krause, ESAIM Proceedings [Link] [BibTeX] [Preprint]

@InProceedings{Kopanicakova_2020c,
  title={Multilevel minimization for deep residual networks},
  author={Gaedke-Merzh{\"a}user*, Lisa and Kopani{\v{c}}{\'a}kov{\'a}*,  Alena and Krause, Rolf},
  booktitle={In ESAIM Proceedings and Surveys},
  volume={71}, 
  pages={131-144},
  year={2021},
}

A Multilevel Approach to Training (2020), V. Braglia*, A. Kopaničáková*, R. Krause, ICML 2020 Workshop Beyond First Order Methods in Machine Learning [Link] [BibTeX] [Preprint]

@InProceedings{Kopanicakova_2020d,
    title={A Multilevel Approach to Training},
    author={Braglia*, Vanessa and Kopani{\v{c}}{\'a}kov{\'a}*,  Alena and Krause, Rolf},
    booktitle={ICML 2020 Workshop: Beyond First Order Methods in Machine Learning},
    year={2020},
}

A phase-field approach to pneumatic fracture (2017), C. Bilgen, A. Kopaničáková, R. Krause, K. Weinberg, PAMM [Link] [BibTeX] [Preprint]

@InProceedings{Bilgen17b,
  author        = {Bilgen, Carola and Kopani{\v c}{\'a}kov{\'a},  Alena and Krause, Rolf and Weinberg, Kerstin},
  title         = {{A} phase-field approach to pneumatic fracture},
  booktitle       = {{PAMM}},
  year          = {2017},
  volume        = {17},
  number        = {1},
  pages         = {71-74},
  doi           = {10.1002/pamm.201710022},
}

Gesture recognition using DTW and its application potential in human-centered robotics (2013), A. Kopaničáková, M. Vircikova, P. Sincak, Proceedings of the 13th Scientific Conference of Young Researchers of Faculty of Electrical Engineering and Informatics Technical University of Košice [Link] [BibTeX] [Preprint]

@InProceedings{kopanivcakova2013gesture,
    title={Gesture recognition using {D}{T}{W} and its application potential in human-centered robotics},
    author={{K}opani{\v{c}}{\'a}kov{\'a}, Alena and Vir{\v{c}}{\'\i}kov{\'a}, M{\'a}ria and Sin{\v{c}}\'ak, Peter},
    booktitle={Proceedings of the 13th Scientific Conference of Young Researchers of Faculty of Electrical Engineering and Informatics
  Technical University of Ko\v{s}ice},
    year={2013}, 
}

Thesis

Multilevel minimization in trust-region framework - Algorithmic and software developments. PhD thesis, Università della Svizzera italiana, 2020