In the context of inverse problems, a mathematical model of the measurements is called the direct problem. To understand this term, let us consider a model for obstetric sonography. An ultrasonic ...

️Flow matching is a recent state-of-the-art framework for generative modeling based on ordinary differential equations (ODEs). While closely related to diffusion models, it provides a more general ...

This project explores the field of inverse problems, a class of mathematical challenges where the goal is to determine the underlying cause of observed effects, applied to the field of computed ...

Computational Inverse Problems are all about the application. The driving question is how to extend the thorough theory of an Inverse Problem to an algorithm, which can be implemented and ultimately ...

We develop mathematical, computational, and statistical tools to uncover hidden causes in complex data, powering breakthroughs in imaging, AI, scientific discovery and decision-making. The UCL Centre ...

Join us, October 26, 27 and 28, 2022, for our new lecture series named after Vladimir Marchenko, a Ukrainian mathematician who specializes in mathematical physics. Marchenko's seminal contributions to ...