CORDIS Project
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This project aims to create a mathematical framework for understanding sample complexity in inverse problems related to partial differential equations. By addressing the gap between theoretical models and practical applications, it seeks to enhance imaging techniques used in various scientific and engineering fields.
This project will develop a mathematical theory of sample complexity, i.e. of finite measurements, for inverse problems in partial differential equations (PDE).
Inverse problems are ubiquitous in science and engineering, and appear when a quantity has to be reconstructed from indirect measurements.
Whenever physics plays a crucial role in the description of an inverse problem, the mathematical model is based on a PDE.
Many imaging modalities belong to this category, including ultrasonography, el…
UNIVERSITA DEGLI STUDI DI GENOVA
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