We develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemannian geometry (with a focus dictated by computational con ...
This course serves as an introduction to classical differential geometry, which studies the geometric properties of curves and surfaces in the Euclidean space. ...
Le cours vise à l'acquisition des outils essentiels au projet et à une compréhension de l'architecture comme savoir-faire, pensée, et attitude qui interroge l'inscription des êtres vivants dans leur environnement par la conception de l'espace. ...
Cet enseignement situe le dessin technique comme outil d'enquête spatiale, constructive et contextuelle. Il introduit la coupe itérative comme outil sociotechnique de l'architecte permettant de mesurer, comprendre et interpréter des situations construites. ...
Statistics lies at the foundation of data science, providing a unifying theoretical and methodological backbone for the diverse tasks enountered in this emerging field. This course rigorously develops the key notions and methods of statistics, with an emph ...
This course aims to introduce the basic principles of machine learning in the context of the digital humanities. We will cover both supervised and unsupervised learning techniques, and study and implement methods to analyze diverse data types, such as imag ...
The course aims to introduce the basic concepts and results of integer optimization with special emphasis on algorithmic problems on lattices that have proved to be important in theoretical computer science and cryptography during the past 30 years. ...