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Roland Herzog
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Publications
- 2024
- [i21]Karina Koval, Roland Herzog, Robert Scheichl:
Tractable Optimal Experimental Design using Transport Maps. CoRR abs/2401.07971 (2024) - [i20]Ronny Bergmann, Roland Herzog, Hajg Jasa:
The Riemannian Convex Bundle Method. CoRR abs/2402.13670 (2024) - 2023
- [j38]Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez:
Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging. SIAM J. Imaging Sci. 16(1): 313-339 (2023) - [i19]Alexandra Bünger, Roland Herzog, Andreas Naumann, Martin Stoll:
Uncertainty Propagation of Initial Conditions in Thermal Models. CoRR abs/2306.12736 (2023) - [i18]Evelyn Herberg, Roland Herzog, Frederik Köhne:
Time Regularization in Optimal Time Variable Learning. CoRR abs/2306.16111 (2023) - [i16]Roland Herzog, Frederik Köhne, Leonie Kreis, Anton Schiela:
Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training. CoRR abs/2311.15419 (2023) - [i15]Evelyn Herberg, Roland Herzog, Frederik Köhne, Leonie Kreis, Anton Schiela:
Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks. CoRR abs/2311.15995 (2023) - [i14]Frederik Köhne, Leonie Kreis, Anton Schiela, Roland Herzog:
Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent. CoRR abs/2311.16956 (2023) - 2022
- [j37]Ronny Bergmann, Roland Herzog, Julián Ortiz López, Anton Schiela:
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints. J. Optim. Theory Appl. 195(2): 596-623 (2022) - [j36]Roland Herzog, Estefanía Loayza-Romero:
A manifold of planar triangular meshes with complete Riemannian metric. Math. Comput. 92(339): 1-50 (2022) - [j35]Maurício Silva Louzeiro, Ronny Bergmann, Roland Herzog:
Fenchel Duality and a Separation Theorem on Hadamard Manifolds. SIAM J. Optim. 32(2): 854-873 (2022) - [i13]Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll:
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors. CoRR abs/2204.03575 (2022) - [i12]Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez:
Total Generalized Variation for Piecewise Constant Functions with Applications in Imaging. CoRR abs/2206.12331 (2022) - 2021
- [j33]Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck, José Vidal-Núñez:
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds. Found. Comput. Math. 21(6): 1465-1504 (2021) - 2020
- [j32]Tommy Etling, Roland Herzog, Estefanía Loayza, Gerd Wachsmuth:
First and Second Order Shape Optimization Based on Restricted Mesh Deformations. SIAM J. Sci. Comput. 42(2): A1200-A1225 (2020) - [i8]Felix Ospald, Kai Bergermann, Roland Herzog:
An Extension of the Strain Transfer Principle for Fiber Reinforced Materials. CoRR abs/2010.05857 (2020) - [i7]Roland Herzog, Jan-Frederik Pietschmann, Max Winkler:
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction. CoRR abs/2011.03580 (2020) - [i5]Roland Herzog, Estefanía Loayza-Romero:
A Manifold of Planar Triangular Meshes with Complete Riemannian Metric. CoRR abs/2012.05624 (2020) - [i4]Lukas Baumgärtner, Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez:
Mesh Denoising and Inpainting using the Total Variation of the Normal. CoRR abs/2012.11748 (2020) - 2019
- [j31]Roland Herzog, John W. Pearson, Martin Stoll:
Fast iterative solvers for an optimal transport problem. Adv. Comput. Math. 45(2): 495-517 (2019) - [j30]Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez, Gerd Wachsmuth:
Discrete Total Variation with Finite Elements and Applications to Imaging. J. Math. Imaging Vis. 61(4): 411-431 (2019) - [j29]Ronny Bergmann, Roland Herzog:
Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds. SIAM J. Optim. 29(4): 2423-2444 (2019) - [j28]Tommy Etling, Roland Herzog, Martin Siebenborn:
Optimum Experimental Design for Interface Identification Problems. SIAM J. Sci. Comput. 41(6): A3498-A3523 (2019) - [i3]Ronny Bergmann, Roland Herzog, Daniel Tenbrinck, José Vidal-Núñez:
Fenchel Duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds. CoRR abs/1908.02022 (2019) - [i2]Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez:
Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems. CoRR abs/1908.07916 (2019) - [i1]Jan Blechschmidt, Roland Herzog, Max Winkler:
Error estimation for second-order PDEs in non-variational form. CoRR abs/1909.12676 (2019) - 2018
- [j27]Tommy Etling, Roland Herzog:
Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity. SIAM J. Appl. Math. 78(3): 1553-1576 (2018) - [j26]Marc Herrmann, Roland Herzog, Heiko Kröner, Stephan Schmidt, José Vidal:
Analysis and an Interior-Point Approach for TV Image Reconstruction Problems on Smooth Surfaces. SIAM J. Imaging Sci. 11(2): 889-922 (2018) - 2016
- [j23]Juan Carlos de los Reyes, Roland Herzog, Christian Meyer:
Optimal Control of Static Elastoplasticity in Primal Formulation. SIAM J. Control. Optim. 54(6): 3016-3039 (2016) - 2015
- [j21]Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, Volker Schulz:
Introduction to the special issue for EUCCO 2013. Comput. Optim. Appl. 62(1): 1-3 (2015) - [j20]Roland Herzog, Johannes Obermeier, Gerd Wachsmuth:
Annular and sectorial sparsity in optimal control of elliptic equations. Comput. Optim. Appl. 62(1): 157-180 (2015) - [j19]Roland Herzog, Georg Stadler, Gerd Wachsmuth:
Erratum: Directional Sparsity In Optimal Control of Partial Differential Equations. SIAM J. Control. Optim. 53(4): 2722-2723 (2015) - [j18]Roland Herzog, Ekkehard W. Sachs:
Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space. SIAM J. Numer. Anal. 53(3): 1304-1324 (2015) - 2013
- [j17]Roland Herzog, Karl Kunisch, Jörn Sass:
Primal-dual methods for the computation of trading regions under proportional transaction costs. Math. Methods Oper. Res. 77(1): 101-130 (2013) - [j16]Roland Herzog, Christian Meyer, Gerd Wachsmuth:
B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening. SIAM J. Optim. 23(1): 321-352 (2013) - 2012
- [j14]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Approximation of sparse controls in semilinear equations by piecewise linear functions. Numerische Mathematik 122(4): 645-669 (2012) - [j13]Roland Herzog, Georg Stadler, Gerd Wachsmuth:
Directional Sparsity in Optimal Control of Partial Differential Equations. SIAM J. Control. Optim. 50(2): 943-963 (2012) - [j12]Roland Herzog, Christian Meyer, Gerd Wachsmuth:
C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening. SIAM J. Control. Optim. 50(5): 3052-3082 (2012) - [j11]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L1 Cost Functional. SIAM J. Optim. 22(3): 795-820 (2012) - 2011
- [c2]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Approximation of Sparse Controls in Semilinear Elliptic Equations. LSSC 2011: 16-27 - 2010
- [j8]Roland Herzog, Ekkehard W. Sachs:
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints. SIAM J. Matrix Anal. Appl. 31(5): 2291-2317 (2010) - 2009
- [j7]Roland Griesse, Daniel Wachsmuth:
Sensitivity analysis and the adjoint update strategy for an optimal control problem with mixed control-state constraints. Comput. Optim. Appl. 44(1): 57-81 (2009) - 2008
- [j6]Roland Griesse, Thomas Grund, Daniel Wachsmuth:
Update strategies for perturbed nonsmooth equations. Optim. Methods Softw. 23(3): 321-343 (2008) - 2007
- [j5]Roland Griesse, Boris Vexler:
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization. SIAM J. Sci. Comput. 29(1): 22-48 (2007) - 2006
- [j4]Alfio Borzì, Roland Griesse:
Distributed optimal control of lambda-omega systems. J. Num. Math. 14(1): 17-40 (2006) - [j3]Roland Griesse, Karl Kunisch:
Optimal Control for a Stationary MHD System in Velocity-Current Formulation. SIAM J. Control. Optim. 45(5): 1822-1845 (2006) - 2005
- [j2]Roland Griesse, Stefan Volkwein:
A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System. SIAM J. Control. Optim. 44(2): 467-494 (2005)
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