Projects per year
Personal profile
Research interests
My research is at the interface of partial differential equations, data analysis and mathematical formulations for machine learning. I am interested in combining modelling, analysis, partial differential equations, applied dynamical systems and numerical analysis to nonlinear problems with applications in biology, climate modelling, engineering and industry.
Willing to supervise doctoral students
I can offer a wide variety of projects using mathematics to study complex systems in machine learning, biology and climate science. Please contact me for more information.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Collaborations and top research areas from the last five years
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Institute of Mathematical Innovation: P3 project: A Computational Approach to Collective Decision-Making
Hinvest, N. (CoPI), Kreusser, L. (CoPI), Mergoupis, T. (CoPI) & Dimov, D. (CoPI)
11/11/23 → 11/11/24
Project: Other
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Academic Fellowship of the Institute for Mathematical Innovation
Kreusser, L. (PI)
1/04/21 → …
Project: Research-related funding
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Data-driven physical models for weather prediction
Kreusser, L. (PI)
1/09/23 → 31/08/24
Project: UK charity
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ICIAM 2023 travel grant, Institute of Mathematics & its applications (QJMAM Fund)
Kreusser, L. (PI)
18/04/23 → 31/08/23
Project: UK charity
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A sense-act digital technology for the home-based care of diabetic foot ulcers
Preatoni, E. (PI), Cioroianu, I. (CoI), Ehrhardt, B. (CoI), Gurevich, D. (CoI), Kreusser, L. (CoI), Lazarus, J. (CoI), Metcalfe, B. (CoI), Nishtala, P. (CoI), Sharp, T. (CoI) & Carter, J. (Researcher)
25/02/23 → 31/07/23
Project: Research-related funding
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A general formulation of reweighted least squares fitting
Giannelli, C., Imperatore, S., Kreusser, L. M., Loayza-Romero, E., Mohammadi, F. & Villamizar, N., 30 Nov 2024, In: Mathematics and Computers in Simulation. 225, p. 52-65 14 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Equidistribution-based training of Free Knot Splines and ReLU Neural Networks
Appella, S., Arridge, S., Budd, C., Deveney, T. & Kreusser, L. M., 2 Jul 2024.Research output: Working paper / Preprint › Preprint
File30 Downloads (Pure) -
Parallel-in-Time Solutions with Random Projection Neural Networks
Betcke, M. M., Kreusser, L. M. & Murari, D., 19 Aug 2024, arXiv, 31 p.Research output: Working paper / Preprint › Preprint
File9 Downloads (Pure) -
Risk aversion in first-price security-bid auctions
Bajoori, E., Kreusser, L. M., Peeters, R. & Wolk, L., 31 Jul 2024, In: Operations Research Letters. 55, 107121.Research output: Contribution to journal › Article › peer-review
Open Access3 Downloads (Pure) -
Scale-aware parameterization of cloud fraction and condensate for a global atmospheric model machine-learnt from coarse-grained kilometer-scale simulations
Morcrette, C., Cave, T., Reid, H., da Silva Rodrigues, J., Deveney, T., Kreusser, L. M., Van Weverberg, K. & Budd, C., 25 Aug 2024, ESS Open Archive, 51 p.Research output: Working paper / Preprint › Preprint