ODL: Introduction to Optimal Control and Machine Learning

On March 19 – 21, 2024, Prof. Enrique Zuazua will give a lecture Series on Introduction to Optimal Control and Machine Learning at the 5th Edition of the Open Doctoral Lecture Series organized by the UM6P’s VANGUARD Center in collaboration with Université Cadi AYYAD, University Côte d’Azur and GE2MI.

Abstract. In this series of lectures, we will introduce both Control Theory and Machine Learning (ML), one of the most vigorous areas of contemporary AI, emphasizing their close links:
In the first Lecture, we will adopt an historical perspective, describing their evolutionary impact, civilization after civilization.
In the second one we will discuss linear finite dimensional systems of Ordinary Differential Equations (ODE) ad introduce the classical Kalman rank condition and duality methods, linking controllability and observability.
Tue. March 19, 2024: Recording lecture 1 and lecture 2 (YouTube)

In the third one we discuss the most paradigmatic Partial Differential Equation (PDE), the wave equation, underlining the link between the very nature of solutions and their control properties.
In the fourth one we will discuss numerical approximation issues, paying special attention to the impact of numerical dispersion on control.
In the fifth lecture we will analyze the problem of Supervised Learning in ML from the perspective of control.
Wed. March 20, 2024: Recording lecture 3 and lecture 4 (YouTube)

In the last one we shall discuss several related relevant topics, pointing towards some open problems and perspectives for future research.
Thu. March 21, 2024: Recording lecture 5 and lecture 6 (YouTube)

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Public target: PhD students, postdoctoral researchers.