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MathModDB: The Knowledge Graph for FAIR Storage of Mathematical Models used in Applied Sciences

Fiedler, Jochen; Biedinger, Christine; Schmidt, Burkhard; Shehu, Aurela; Reidelbach, Marco; Schembera, Björn; Koprucki, Thomas; Göddeke, Dominik; Burger, Michael; Weber, Marcus

Abstract

Talk about MathModDB knowledge graph on the MMS Days 2025 in Warnemünde. The MathModDB knowledge graph originates from the research work of the NFDI consortium MaRDI.

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MaRDI Mathematical Research Data Initiative MathModDB: The Knowledge Graph for FAIR Storage of Mathematical Models used in Applied Sciences Jochen Fiedler1, Christine Biedinger1, Michael Burger1, Dominik Göddeke2, Thomas Koprucki3, Marco Reidelbach4, Björn Schembera2, Aurela Schehu3, Burkhard Schmidt3, Marcus Weber4 1Fraunhofer ITWM, 2Universität Stuttgart, 3WIAS Berlin, 4ZIB 2 •R&D teams often rely on mathematical models and concepts •Models are often scattered across manifold publications and internal documents •Finding the right model for a new research project (including assumptions, scope, required quantities, and references) is timeconsuming •Leads to fragmented knowledge and missed opportunities •Improve discoverability of models (including versions, variants, and application domains) •Provide transparency and thorough documentation of necessary formulations and assumptions •Connect and link research questions and domains to specific models •Enable easy search, maximum synergies and unique identification →Making mathematical models FAIR! Motivation: Create central repository for mathematical models Challenges Goals MaRDI within the NFDI 261 association members >800 people involved 26 consortia & Base4NFDI 5 sections 4 NFDI: Nationale ForschungsDaten Infrastruktur 5 NFDI association Network of consortia: Base4NFDI We are here 6 NFDI in the social networks CC BY-ND 4.0 Nationale Forschungsdateninfrastruktur (NFDI) e.V. NFDI @nfdi https://nfdi.social nfdi.de/newsletter-abo @NFDI_de For a FAIR Data Future. www.nfdi.de 7 MaRDI: The Mathematical Research Data Initiative •Start: November 2021 •15 Member institutions •28 (full-time equivalent) employees •10 million Euro funding over 5 years 8 MaRDI aims and services MaRDI aims •Develop robust Mathematical Research Data Infrastructure •Set standards and confirmable workflows for certified Mathematical Research Data •Provide services to both the mathematical and wider scientific community Services The structure of MathModDB 16 The MathModDB/MaRDMO ecosystem brings the ontology to life! MaRDMO Plugin 17 MaRDMO: Future gateway to FAIR mathematical data MaRDMO Plugin •Connector tool for mathematical research data →See talk by Marco Reidelbach on Friday morning 18 OWL was and is used for ontology development Screenshot from Protege •Good for development •Not useful for practical purposes 19 Ontology is documented and published https://mardi4nfdi.github.io/MathModDB/https://github.com/MaRDI4NFDI/MathModDB 20 Implementation on graphserver in Münster •Operated by TA2 for MathAlgoDB •Intuitive graphical surface •Connection between algorithms and mathematical models 21 MaRDI portal: One-stop-shop for MaRDI services •MaRDI technology stack •Wikibase technology –interface to Wikidata •Identifier for individuals •Work in progress 22 MaRDI portal: One-stop-shop for MaRDI services 23 MaRDI portal: One-stop-shop for MaRDI services →Visit hands-on session later Connecting metadata and data repositories: MathModDB and DaRUS 25 DaRUS: Data Repository of University of Stuttgart FoKUS/Iglezakis D. (2019). CC BY 4.0. direct access to featured Dataverses filter results via search facets, configurable by local admin Dataset Dataverse full text search https://darus.unistuttgart.de/dataverse/darus