Advanced Machine Learning: Applications to Vision, Audio and Text

The objective of this course is to provide the principles of advanced (supervised and unsupervised) machine learning algorithms, and explain their interest when applying them to address learning tasks using visual, auditory or textual data, as well as multi-modal combinations.

An introduction to shape and topology optimization

In a very broad acceptation, shape and topology optimization is about finding the best domain (which may represent, depending on applications, a mechanical structure, a fluid channel,…) with respect to a given performance criterion (e.g. robustness, weight, etc.), under some constraints (e.g. of a geometric nature).

Computational biology

This interdisciplinary course is designed for students with a computer science or mathematical background, offering them an opening to bioinformatics and to bioinformatics and computational biology.

Data Science Seminars and Challenge

This course consists on a cycle of seminars given by different industrials and on a projet related to the manipulation of real data.

Differential Calculus, Wavelets and Applications

The course is structured in two parts, treated respectively and independently by Sylvein Meignen and Kévin Polisano. The first part is devoted to differential calculus and its applications in image restoration and edge detection. The second part is dedicated to the construction and practical use of the wavelet transform. Wavelets are basis functions widely used in a large variety of fields: signal and image processing, data compression, smoothing/denoising data, numerical schemes for partial differential equations, scientific visualization, etc. Connections between the two parts will be made on the aspects of denoising, edge detection and graph analysis.

Efficient methods in optimization

Theoretical foundations of convex optimization.

Fluid mechanics and granular matter

Equations and models are presented in a continuum setting, and then approximated in time and space. Then, the efficient numerical resolution is addressed with some examples of practical applications.

From Basic Machine Learning models to Advanced Kernel Learning

Statistical learning is about the construction and study of systems that can automatically learn from data.

Geophysical imaging

In the current context of energy transition and fight against global warming, a precise knowledge of the crust, down to several km depth, has become a critical issue.

GPU Computing

In this course, we will introduce parallel programming paradigms to the students in the context of applied mathematics.