Geometric Methods in Inverse Problems for Partial Differential Equations

Project Information

PDE-INVERSE

Grant agreement ID: 101097198

DOI

10.3030/101097198

EC signature date 23 May 2023

Start date 1 November 2023

End date 31 October 2028

Funded under

• European Research Council (ERC)

Total cost

€ 2 498 644,00

EU contribution

€ 2 498 644,00

Coordinated by

HELSINGIN YLIOPISTO
Finland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

Drafting of Data Management plan

Publications

Peer reviewed articles (8)

Can neural operators always be continuously discretized?

Author(s): Furuya, Takashi; Puthawala, Michael; de Hoop, Maarten V.; Lassas, Matti
Published in: Advances in Neural Information Processing Systems, 2024, ISSN 1049-5258
Publisher: NeurIPS
DOI: 10.48550/ARXIV.2412.03393

Coefficient Determination for Non-Linear Schrödinger Equations on manifolds

Author(s): Lassas, M., Oksanen, L., Sahoo, S. K., Salo, M., & Tetlow, A. (2025)
Published in: Journal on Mathematical Analysis, 2025, ISSN 2217-3412
Publisher: SIAM
DOI: 10.48550/ARXIV.2201.03699

Stability and Lorentzian geometry for an inverse problem of a semilinear wave equation

Author(s): Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado, Teemu Tyni
Published in: Analysis & PDE, Issue 18, 2025, ISSN 1948-206X
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/APDE.2025.18.1065

CT scans without X-rays: parallel-beam imaging from nonlinear current flows

Author(s): Alsaker, M., Rautio, S., Moura, F., Agnelli, J. P., Murthy, R., Lassas, M., ... & Siltanen, S. (2024)
Published in: Applied Mathematics for Modern Challenges 5, 2024, ISSN 2994-7669
Publisher: AIMS
DOI: 10.48550/ARXIV.2408.12992

Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem

Author(s): lmavirta, J., Lassas, M., Lu, J., Oksanen, L., & Ylinen, L.
Published in: Inverse Problems and Imaging, 2024, ISSN 1930-8345
Publisher: AIMS
DOI: 10.48550/ARXIV.2306.05253

An inverse problem for fractional random walks on finite graphs

Author(s): Giovanni Covi, Matti Lassas
Published in: Inverse Problems, Issue 42, 2026, ISSN 0266-5611
Publisher: IOP Publishing
DOI: 10.1088/1361-6420/AE5C2F

Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel

Author(s): Fefferman, C., Ivanov, S., Lassas, M., Lu, J., & Narayanan, H. (2025
Published in: American Journal of Mathematics, 2025, ISSN 1080-6377
Publisher: Hopkins Press
DOI: 10.48550/ARXIV.2111.14528

Lipschitz Stability of Travel Time Data

Author(s): Joonas Ilmavirta, Antti Kykkänen, Matti Lassas, Teemu Saksala, Andrew Shedlock
Published in: The Journal of Geometric Analysis, Issue 35, 2025, ISSN 1050-6926
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S12220-025-02084-3

Conference proceedings (1)

Semialgebraic Neural Networks: From roots to representations

Author(s): Mis, S. D., Lassas, M., & de Hoop, M. V.
Published in: International Conference on Learning Representations, Issue 83723--83756, 2025, ISBN 9798331320850
Publisher: International Conference on Learning Representations (ICLR)