Thibault Pautrel

Introduction to programming with C++

Introductory course in algorithmic thinking and structured programming using modern C++.

Topics include: basic C++ syntax, types and I/O; control structures (conditionals, loops); functions and modular program design; fundamental data structures (arrays, vectors); introduction to object-oriented programming (classes, encapsulation); implementation of classical searching and sorting algorithms.

Machine learning

Practical sessions accompanying a core introduction to machine learning.

Topics include: linear and logistic regression, model evaluation; supervised classification and support vector machines; dimensionality reduction (PCA); unsupervised learning (clustering methods); ensemble methods (bagging, boosting, random forests); short introduction to deep learning concepts.

Statistics and Learning

Core course covering mathematical statistics and an introduction to statistical learning, based on lecture notes by Paul-Henry Cournède.

Part I — Elements of Mathematical Statistics: data and statistical models (sampling theory, empirical methods, regression models); parameter estimation (Fisher information, method of moments, maximum likelihood, Bayesian estimation, confidence regions); statistical hypothesis testing (parametric tests, p-values, Pearson's χ² test, goodness-of-fit tests including χ² and Kolmogorov–Smirnov).

Part II — Statistical Learning: supervised learning (decision theory, linear and logistic regression, regularization and model selection, decision trees, artificial neural networks); unsupervised learning (principal component analysis, K-means clustering).

Mathematics teacher (agrégé)

Between September 2021 and July 2024, I was assigned as an "agrégé" mathematics teacher to different secondary schools: Collège Saint-Exupéry (Villiers-le-Bel), Lycée Blaise Pascal (Châteauroux), and Lycée Bernard Palissy (Gien). This diversity of student levels further strengthened my pedagogical skills and classroom experience.

Teaching assistant (64 h/year)

During my PhD, I taught for the mathematics department of the University of Rennes: