Adaptive Model Hierarchies for Multi-Query ScenariosOpen Access

Kleikamp, Hendrik; Ohlberger, Mario

Research article in edited proceedings (conference) | Peer reviewed

Abstract

In this contribution we present an abstract framework for adaptive model hierarchies together with several instances of hierarchies for specific applications. The hierarchy is particularly useful when integrated within an outer loop, for instance an optimization iteration or a Monte Carlo estimation where for a large set of requests answers fulfilling certain criteria are required.

Details about the publication

EditorsKörner, Andreas; Kugi, Andreas; Kemmetmüller, Wolfgang; Deutschmann-Olek, Andreas; Steinböck, Andreas; Hartl-Nesic, Christian; Jadachowski, Lukasz Piotr
Book titleMATHMOD 2025 - Discussion Contribution Volume
Page range15-16
PublisherARGESIM Verlag
Place of publicationWien
StatusPublished
Release year2025
Language in which the publication is writtenEnglish
ConferenceMATHMOD 2025, Wien, Austria
DOI10.34726/9007
Keywordsmodel hierarchies; adaptivity; model order reduction; machine learning

Authors from the University of Münster

Kleikamp, Hendrik
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Ohlberger, Mario
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Projects the publication originates from

Duration: 01/01/2019 - 31/12/2025 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Main DFG-project hosted at University of Münster

Promotionen, aus denen die Publikation resultiert

Parametrized optimal control and transport-dominated problems: Reduced basis methods, nonlinear reduction strategies and data driven surrogates
Candidate: Kleikamp, Hendrik | Supervisors: Ohlberger, Mario | Reviewers: Ohlberger, Mario; Breiten, Tobias
Period of time: 01/01/2021 - 19/12/2024
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster