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The Research Seminar is a weekly space that focuses on various areas of applied mathematics, with special emphasis on Mathematical Optimization and Modeling. The main objective is to share the research results of the Modemat and put the researchers of the Center in contact with academics from all over the world, in person or through virtual platforms. Organizer of the seminar: Sergio González Andrade. To subscribe to the Seminar mailing list or propose a talk in it, please write to: sergio.gonzalez@epn.edu.ec

Imaging Sciences And Optimization

Imaging Sciences And Optimization

By Dr. Luca Calatroni, LABORATOIRE D'INFORMATIQUE, SIGNAUX ET SYSTÈMES DE SOPHIA-ANTIPOLIS, FRANCE

Seminar Date: 2023-07-06

In this talk, I will focus on how to combine model-based techniques with data-driven learning approaches to define suitable regularization and data fitting terms for reconstructing high-resolution images from sequences of low-resolution and stochastically fluctuating blurred data. In particular, I will show how convergent plug & play gradient-step denoisers can be effectively used to define desirable prior functionals and explain how Generative Adversarial Networks (GANs) can be combined with physical knowledge to define a suitable data term comparing the (unknown) distribution of measured data with the one simulated within the adversarial process.

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