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20232025
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math.NA2025

Iterative solvers for partial differential equations with dissipative structure: Operator preconditioning and optimal control

Volker Mehrmann, Manuel Schaller, Martin Stoll

This work considers the iterative solution of large-scale problems subject to non-symmetric matrices or operators arising in discretizations of (port-)Hamiltonian partial different…

math.NA2025

Fast and Simple Multiclass Data Segmentation: An Eigendecomposition and Projection-Free Approach

Chiara Faccio, Margherita Porcelli, Francesco Rinaldi +1

Graph-based machine learning has seen an increased interest over the last decade with many connections to other fields of applied mathematics. Learning based on partial differentia…

math.NA2025

Low-rank computation of the posterior mean in Multi-Output Gaussian Processes

Sebastian Esche, Martin Stoll

Gaussian processes (GP) are a versatile tool in machine learning and computational science. We here consider the case of multi-output Gaussian processes (MOGP) and present low-rank…

math.NA2024

A splitting-based KPIK method for eddy current optimal control problems in an all-at-once approach

Min-Li Zeng, Martin Stoll

In this paper, we focus on efficient methods to solve discretized linear systems obtained from eddy current optimal control problems in an all-at-once approach. We construct a new…

math.NA2023

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

In this paper we consider the numerical solution to the soft-margin support vector machine optimization problem. This problem is typically solved using the SMO algorithm, given the…