A splitting-based KPIK method for eddy current optimal control problems in an all-at-once approach - Min-Li Zeng; Martin Stoll (Comput. Math. Appl., 2025)

IETI-Based Low-Rank Method for PDE-Constrained Optimization - Tom-Christian Riemer; Alexandra Bünger; Martin Stoll (SIAM J. Sci. Comput., 2025)

Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells - Pelin Çiloglu; Carmen Tretmans; Roland Herzog; Jan-Frederik Pietschmann; Martin Stoll (CoRR, 2025)

Preconditioned Additive Gaussian Processes with Fourier Acceleration - Theresa Wagner; Tianshi Xu; Franziska Nestler; Yuanzhe Xi; Martin Stoll (CoRR, 2025)

Low-rank computation of the posterior mean in Multi-Output Gaussian Processes - Sebastian Esche; Martin Stoll (CoRR, 2025)

Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification - Jan Blechschmidt; Tom-Christian Riemer; Max Winkler; Martin Stoll; Jan-Frederik Pietschmann (CoRR, 2025)

Adaptive Rational Krylov Methods for Exponential Runge-Kutta Integrators - Kai Bergermann; Martin Stoll (SIAM J. Matrix Anal. Appl., 2024)

Second-Order Partial Outer Convexification for Switched Dynamical Systems - Christoph Plate; Sebastian Sager; Martin Stoll; Manuel Tetschke (IEEE Trans. Autom. Control., 2024)

Can Vehicle Motion Planning Generalize to Realistic Long-tail Scenarios? - Marcel Hallgarten; Julián Zapata; Martin Stoll; Katrin Renz; Andreas Zell (IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2024, Abu Dhabi, United Arab Emirates, October 14-18, 2024, 2024)

Stay on Track: A Frenet Wrapper to Overcome Off-road Trajectories in Vehicle Motion Prediction - Marcel Hallgarten; Ismail Kisa; Martin Stoll; Andreas Zell (IEEE Intelligent Vehicles Symposium, IV 2024, Jeju Island, Republic of Korea, June 2-5, 2024, 2024)

A splitting-based KPIK method for eddy current optimal control problems in an all-at-once approach - Min-Li Zeng; Martin Stoll (CoRR, 2024)

Can Vehicle Motion Planning Generalize to Realistic Long-tail Scenarios? - Marcel Hallgarten; Julián Zapata; Martin Stoll; Katrin Renz; Andreas Zell (CoRR, 2024)

Fast Evaluation of Additive Kernels: Feature Arrangement, Fourier Methods, and Kernel Derivatives - Theresa Wagner; Franziska Nestler; Martin Stoll (CoRR, 2024)

IETI-based Low-Rank method for PDE-constrained optimization - Alexandra Bünger; Tom-Christian Riemer; Martin Stoll (CoRR, 2024)

Gradient flow-based modularity maximization for community detection in multiplex networks - Kai Bergermann; Martin Stoll (CoRR, 2024)

An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (Comput. Optim. Appl., 2023)

Efficient Structure-preserving Support Tensor Train Machine - Kirandeep Kour; Sergey Dolgov; Martin Stoll; Peter Benner (J. Mach. Learn. Res., 2023)

From Prediction to Planning With Goal Conditioned Lane Graph Traversals - Marcel Hallgarten; Martin Stoll; Andreas Zell (26th IEEE International Conference on Intelligent Transportation Systems, ITSC 2023, Bilbao, Spain, September 24-28, 2023, 2023)

From Prediction to Planning With Goal Conditioned Lane Graph Traversals - Marcel Hallgarten; Martin Stoll; Andreas Zell (CoRR, 2023)

A weighted subspace exponential kernel for support tensor machines - Kirandeep Kour; Sergey Dolgov; Peter Benner; Martin Stoll; Max Pfeffer (CoRR, 2023)

Adaptive rational Krylov methods for exponential Runge-Kutta integrators - Kai Bergermann; Martin Stoll (CoRR, 2023)

Scaling Planning for Automated Driving using Simplistic Synthetic Data - Martin Stoll; Markus Mazzola; Maxim Dolgov; Jürgen Mathes; Nicolas Möser (CoRR, 2023)

Stay on Track: A Frenet Wrapper to Overcome Off-road Trajectories in Vehicle Motion Prediction - Marcel Hallgarten; Ismail Kisa; Martin Stoll; Andreas Zell (CoRR, 2023)

Uncertainty Propagation of Initial Conditions in Thermal Models - Alexandra Bünger; Roland Herzog; Andreas Naumann; Martin Stoll (CoRR, 2023)

Rethinking Integration of Prediction and Planning in Deep Learning-Based Automated Driving Systems: A Review - Steffen Hagedorn; Marcel Hallgarten; Martin Stoll; Alexandru Condurache (CoRR, 2023)

A nonlinear spectral core-periphery detection method for multiplex networks - Kai Bergermann; Martin Stoll; Francesco Tudisco (CoRR, 2023)

A Preconditioned Interior Point Method for Support Vector Machines Using an ANOVA-Decomposition and NFFT-Based Matrix-Vector Products - Theresa Wagner; John W. Pearson; Martin Stoll (CoRR, 2023)

Improved penalty algorithm for mixed integer PDE constrained optimization problems - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (Comput. Math. Appl., 2022)

Accelerating Kernel Ridge Regression with Conjugate Gradient Method for large-scale data using FPGA High-level Synthesis - Yousef Alnaser; Jan Langer; Martin Stoll (IEEE/ACM International Workshop on Heterogeneous High-performance Reconfigurable Computing, H2RC@SC 2022, Dallas, TX, USA, November 13-18, 2022, 2022)

Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors - Kai Bergermann; Carsten Deibel; Roland Herzog; Roderick C. I. MacKenzie; Jan-Frederik Pietschmann; Martin Stoll (CoRR, 2022)

A comparison of PINN approaches for drift-diffusion equations on metric graphs - Jan Blechschmidt; Jan-Frederik Pietschmann; Tom-Christian Riemer; Martin Stoll; Max Winkler (CoRR, 2022)

Gibbs-Helmholtz Graph Neural Network: capturing the temperature dependency of activity coefficients at infinite dilution - Edgar Ivan Sanchez Medina; Steffen Linke; Martin Stoll; Kai Sundmacher (CoRR, 2022)

Orientations and matrix function-based centralities in multiplex network analysis of urban public transport - Kai Bergermann; Martin Stoll (Appl. Netw. Sci., 2021)

Pseudoinverse graph convolutional networks - Dominik Alfke; Martin Stoll (Data Min. Knowl. Discov., 2021)

Editorial: Mathematical Fundamentals of Machine Learning - David Glickenstein; Keaton Hamm; Xiaoming Huo; Yajun Mei; Martin Stoll (Frontiers Appl. Math. Stat., 2021)

An Empirical Study of Graph-Based Approaches for Semi-supervised Time Series Classification - Dominik Bünger; Miriam Gondos; Lucile Peroche; Martin Stoll (Frontiers Appl. Math. Stat., 2021)

A Low-Rank Matrix Equation Method for Solving PDE-Constrained Optimization Problems - Alexandra Bünger; Valeria Simoncini; Martin Stoll (SIAM J. Sci. Comput., 2021)

Semi-supervised Learning for Aggregated Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix-Vector Products - Kai Bergermann; Martin Stoll; Toni Volkmer (SIAM J. Math. Data Sci., 2021)

A Study of Graph-Based Approaches for Semi-Supervised Time Series Classification - Dominik Alfke; Miriam Gondos; Lucile Peroche; Martin Stoll (CoRR, 2021)

Matrix function-based centrality measures for layer-coupled multiplex networks - Kai Bergermann; Martin Stoll (CoRR, 2021)

Orientations and matrix function-based centralities in multiplex network analysis of urban public transport - Kai Bergermann; Martin Stoll (CoRR, 2021)

A low-rank tensor method to reconstruct sparse initial states for PDEs with Isogeometric Analysis - Alexandra Bünger; Martin Stoll (CoRR, 2021)

RaWaNet: Enriching Graph Neural Network Input via Random Walks on Graphs - Anahita Iravanizad; Edgar Ivan Sanchez Medina; Martin Stoll (CoRR, 2021)

An Improved Penalty Algorithm using Model Order Reduction for MIPDECO problems with partial observations - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (CoRR, 2021)

Learning in High-Dimensional Feature Spaces Using ANOVA-Based Fast Matrix-Vector Multiplication - Franziska Nestler; Martin Stoll; Theresa Wagner (CoRR, 2021)

Efficient numerical methods for gas network modeling and simulation - Yue Qiu; Sara Grundel; Martin Stoll; Peter Benner (Networks Heterog. Media, 2020)

Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms - John W. Pearson; Margherita Porcelli; Martin Stoll (Numer. Linear Algebra Appl., 2020)

A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis - Alexandra Bünger; Sergey Dolgov; Martin Stoll (SIAM J. Sci. Comput., 2020)

Efficient Structure-preserving Support Tensor Train Machine - Kirandeep Kour; Sergey Dolgov; Martin Stoll; Peter Benner (CoRR, 2020)

A low-rank matrix equation method for solving PDE-constrained optimization problems - Alexandra Bünger; Valeria Simoncini; Martin Stoll (CoRR, 2020)

Semi-supervised Learning for Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix Vector Products - Kai Bergermann; Martin Stoll; Toni Volkmer (CoRR, 2020)

Pseudoinverse Graph Convolutional Networks: Fast Filters Tailored for Large Eigengaps of Dense Graphs and Hypergraphs - Dominik Alfke; Martin Stoll (CoRR, 2020)

Fast iterative solvers for an optimal transport problem - Roland Herzog; John W. Pearson; Martin Stoll (Adv. Comput. Math., 2019)

A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems - Peter Benner; Akwum Onwunta; Martin Stoll (Comput. Methods Appl. Math., 2019)

Node Classification for Signed Social Networks Using Diffuse Interface Methods - Pedro Mercado; Jessica Bosch; Martin Stoll (Machine Learning and Knowledge Discovery in Databases - European Conference, ECML PKDD 2019, Würzburg, Germany, September 16-20, 2019, Proceedings, Part I, 2019)

Semi-Supervised Classification on Non-Sparse Graphs Using Low-Rank Graph Convolutional Networks - Dominik Alfke; Martin Stoll (CoRR, 2019)

Improved Penalty Algorithm for Mixed Integer PDE Constrained Optimization (MIPDECO) Problems - Dominik Garmatter; Margherita Porcelli; Francesco Rinaldi; Martin Stoll (CoRR, 2019)

Optimization of a partial differential equation on a complex network - Martin Stoll; Max Winkler (CoRR, 2019)

Solving differential Riccati equations: A nonlinear space-time method using tensor trains - Tobias Breiten; Sergey Dolgov; Martin Stoll (CoRR, 2019)

A literature survey of matrix methods for data science - Martin Stoll (CoRR, 2019)

Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM) - Wei Zhao; Y. C. Hon; Martin Stoll (Appl. Math. Comput., 2018)

Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems - Wei Zhao; Yiu-chung Hon; Martin Stoll (Comput. Math. Appl., 2018)

NFFT Meets Krylov Methods: Fast Matrix-Vector Products for the Graph Laplacian of Fully Connected Networks - Dominik Alfke; Daniel Potts; Martin Stoll; Toni Volkmer (Frontiers Appl. Math. Stat., 2018)

Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems - Peter Benner; Yue Qiu; Martin Stoll (SIAM/ASA J. Uncertain. Quantification, 2018)

Generalizing Diffuse Interface Methods on Graphs: Nonsmooth Potentials and Hypergraphs - Jessica Bosch; Steffen Klamt; Martin Stoll (SIAM J. Appl. Math., 2018)

NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks - Dominik Alfke; Daniel Potts; Martin Stoll; Toni Volkmer (CoRR, 2018)

Node classification for signed networks using diffuse interface methods - Jessica Bosch; Pedro Mercado; Martin Stoll (CoRR, 2018)

Preconditioning PDE-constrained optimization with L1-sparsity and control constraints - Margherita Porcelli; Valeria Simoncini; Martin Stoll (Comput. Math. Appl., 2017)

Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes Equations - Sergey Dolgov; Martin Stoll (SIAM J. Sci. Comput., 2017)

Fast tensor product solvers for optimization problems with fractional differential equations as constraints - Sergey Dolgov; John W. Pearson; Dmitry V. Savostyanov; Martin Stoll (Appl. Math. Comput., 2016)

Fast solvers for optimal control problems from pattern formation - Martin Stoll; John W. Pearson; Philip K. Maini (J. Comput. Phys., 2016)

Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs - Peter Benner; Akwum Onwunta; Martin Stoll (SIAM J. Matrix Anal. Appl., 2016)

A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms - Hamdullah Yücel; Martin Stoll; Peter Benner (Comput. Math. Appl., 2015)

Domain decomposition in time for PDE-constrained optimization - Andrew T. Barker; Martin Stoll (Comput. Phys. Commun., 2015)

Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients - Peter Benner; Akwum Onwunta; Martin Stoll (SIAM/ASA J. Uncertain. Quantification, 2015)

A Fractional Inpainting Model Based on the Vector-Valued Cahn-Hilliard Equation - Jessica Bosch; Martin Stoll (SIAM J. Imaging Sci., 2015)

A Low-Rank in Time Approach to PDE-Constrained Optimization - Martin Stoll; Tobias Breiten (SIAM J. Sci. Comput., 2015)

Preconditioning for Vector-Valued Cahn-Hilliard Equations - Jessica Bosch; Martin Stoll (SIAM J. Sci. Comput., 2015)

Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements - Jessica Bosch; Martin Stoll; Peter Benner (J. Comput. Phys., 2014)

Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function - John W. Pearson; Martin Stoll; Andrew J. Wathen (Numer. Linear Algebra Appl., 2014)

Fast Solvers for Cahn-Hilliard Inpainting - Jessica Bosch; David Kay; Martin Stoll; Andrew J. Wathen (SIAM J. Imaging Sci., 2014)

Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models - Hamdullah Yücel; Martin Stoll; Peter Benner (Comput. Chem. Eng., 2013)

All-at-once solution of time-dependent Stokes control - Martin Stoll; Andy J. Wathen (J. Comput. Phys., 2013)

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow - Peter Benner; Jens Saak; Martin Stoll; Heiko K. Weichelt (SIAM J. Sci. Comput., 2013)

Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes - John W. Pearson; Martin Stoll (SIAM J. Sci. Comput., 2013)

Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems - Peter Benner; Jens Saak; Martin Stoll; Heiko K. Weichelt (System Modeling and Optimization - 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers, 2013)

Preconditioning for Allen-Cahn variational inequalities with non-local constraints - Luise Blank; Lavinia Sarbu; Martin Stoll (J. Comput. Phys., 2012)

Preconditioning for partial differential equation constrained optimization with control constraints - Martin Stoll; Andy J. Wathen (Numer. Linear Algebra Appl., 2012)

Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems - John W. Pearson; Martin Stoll; Andrew J. Wathen (SIAM J. Matrix Anal. Appl., 2012)

All-at-once preconditioning in PDE-constrained optimization - Tyrone Rees; Martin Stoll; Andy J. Wathen (Kybernetika, 2010)

Block-triangular preconditioners for PDE-constrained optimization - Tyrone Rees; Martin Stoll (Numer. Linear Algebra Appl., 2010)

Preconditioning Saddle-Point Systems with Applications in Optimization - H. Sue Dollar; Nicholas I. M. Gould; Martin Stoll; Andrew J. Wathen (SIAM J. Sci. Comput., 2010)

Combination Preconditioning and the Bramble-Pasciak\(^+\) Preconditioner - Martin Stoll; Andy J. Wathen (SIAM J. Matrix Anal. Appl., 2008)