Project description
Deep Learning algorithms for inverse problems
Inverse problems use partial differential equations (PDEs) to establish links between unknown parameters and experimental data. They find extensive applications, such as assessing cancer growth, ensuring the safety of civil infrastructure, and enhancing geothermal energy production. Nonetheless, Deep Learning (DL) approaches for PDEs come with limitations, notably a lack of theoretical foundation and interpretability, which impedes their integration into high-stakes applications. The MSCA-funded IN-DEEP project unites doctoral candidates and scientists with the goal of training postgraduates in crafting, implementing, and harnessing knowledge-driven Deep Learning algorithms. These algorithms aim to swiftly and accurately address inverse problems driven by PDEs. IN-DEEP is committed to developing advanced DL-based solvers for PDEs with substantial societal and industrial relevance.
Objective
IN-DEEP is a European Doctoral Network composed of nine doctoral candidates (DCs) and top scientists with complementary areas of expertise in applied mathematics, artificial intelligence, high-performance computing, and engineering applications. Its main goal is to provide high-level training to the nine DCs in designing, implementing, and using explainable knowledge-driven Deep Learning (DL) algorithms for rapidly and accurately solving inverse problems governed by partial differential equations (PDEs).
Inverse problems in which the unknown parameters are connected to experimental measurements through PDEs cover from medical applications - like cancer growth assessment - to the safety of civil infrastructures, and green geophysical applications such as geothermal energy production. Their application value is measured in human lives and society's well-being, which goes beyond any quantifiable amount of money. This is why equipping a new generation of specialists with highly-demanded skills for the upcoming transition toward safe and robust AI-based technologies is imperative.
Despite the promising results in many applications, DL for PDEs has severe limitations. The most troublesome is its lack of a solid theoretical background and explainability, which prevents potential users from integrating them into high-risk applications.
IN-DEEP aims to remove these constraints to unleash the full potential of DL algorithms for PDEs. We will achieve this by: (a) focusing on emerging applications of DL for PDEs with immense societal and/or industrial value, (b) designing mathematics-infused advanced solvers to address them efficiently, and (c) involving, from the beginning, industrial and technological agents which can monitor, upscale, and exploit this knowledge. On the way, we shall establish the foundations of a better knowledge exchange ecosystem amongst the main academic and industrial actors within Europe, disseminating the results worldwide.
Fields of science
- medical and health sciencesclinical medicineoncology
- natural sciencesbiological sciencesecologyecosystems
- natural sciencescomputer and information sciencesartificial intelligencemachine learningdeep learning
- natural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations
- engineering and technologyenvironmental engineeringenergy and fuelsrenewable energygeothermal energy
Programme(s)
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Funding Scheme
HORIZON-TMA-MSCA-DN - HORIZON TMA MSCA Doctoral NetworksCoordinator
48940 Leioa
Spain