Lectures related to Fundamental Research: AVP-CP Centers Day

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Ecoles Vaudoises: Programme d'activités 'PLUS'

Introduces the new program 'PLUS' for Vaud school students, offering diverse workshops.

Optimization Methods: Convergence and Trade-offs

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Optimal Transport: From Theory to Applications

Explores the history, theory, and applications of optimal transport in various fields, showcasing its importance in solving complex mathematical problems.

Mathematics and Computer Science: Bonnie Berger at MIT

Features Bonnie Berger, a professor at MIT, discussing mathematics and computer science.

Primal-dual Optimization: Extra-Gradient Method

Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.

EPFL Campus Overview: IC School & Alumni Achievements

Covers EPFL's campus, IC School's achievements, student origins, internships, and alumni careers.

Discriminant Analysis: Bayes Rule

Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.

The Fourth Pillar of Culture: Informatics

Explores informatics as the fourth pillar of culture, its evolution, integration into society, and applications in modern physics and mathematics.

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Principal Components: Properties & Applications

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Multiple Integrals: Techniques and Properties

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Copulas: Properties and Applications

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Programming Thymio with Aseba Studio

Demonstrates students using Aseba Studio to learn programming basics and computational thinking through math-related activities.

Generalization in Deep Learning

Explores generalization in deep learning, covering model complexity, implicit bias, and the double descent phenomenon.

Derivatives and Continuity in Mathematics

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Inductive Series

Covers the concept of inductive series and their convergence conditions.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Example Type 3

Covers changing variables in integrals with a focus on exponential functions.

Implicit Functions Theorem

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.