This course is neither an introduction to the mathematics of statistics nor an introduction to a statistics program such as R. The aim of the course is to understand statistics from its experimental design and to avoid common pitfalls of statistical reason ...
The students understand tools from the statistical physics of disordered systems, and apply them to study computational and statistical problems in graph theory, discrete optimisation, inference and machine learning. ...
This course is an introduction to linear and discrete optimization.Warning: This is a mathematics course! While much of the course will be algorithmic in nature, you will still need to be able to prove theorems. ...
The course considers central themes in the philosophy of science. Starting from the debate between Leibniz and Newton about space and time, we move on to the transition from classical to quantum physics, the explanatory role of mathematics and philosophica ...
Ce cours présente différentes facettes de l'optique moderne et met à la fois l'accent sur des bases rigoureuses et des applications pratiques. Le inclut une partie théorique avec un cours ainsi que des exercices. ...
Ce cours présente différentes facettes de l'optique moderne et met à la fois l'accent sur des bases rigoureuses et des applications pratiques. Le cours inclut une partie théorique avec un cours et des exercices, ainsi qu'une partie expérimentale avec des t ...
This course gives an introduction to principles of Fourier and physical optics, numerical propagation, and sampling. On the second half the course covers topics of advanced imaging, including 3 external lecturers who are experts in application or developme ...
La mécanique des solides déformables est abordée pour déterminer les contraintes et déformations dans divers matériaux isotropes sollicités en traction, compression, cisaillement, torsion et flexion. Des structures de l'ingénierie et de la biologie sont tr ...
Stochastic PDEs are used to model systems that are spatially extended and include a random component. This course gives an introduction to this topic, including some general measure theory, some Gaussian measure theory and some linear semigroup theory. ...
This course will provide an introduction to model category theory, which is an abstract framework for generalizing homotopy theory beyond topological spaces and continuous maps. We will study numerous examples of model categories and their applications in ...