Secretariat for Master of Mathematics
- Mzia Goguadze
- office D200
- 01 49 40 28 10
Formation | M2 mathematics for data sciences |
Semester | 1 |
Bloc | Datasciences and machine learning |
Teaching staff | Lecturer : Younès Bennani, TA : |
Credits | 3 ECTS |
Teaching hours | 15h of lectures + 15h of TA sessions |
Validation scheme | Continuous examination+final exam |
Machine Learning Basics - Generalization, Capacity, Overfitting and Underfitting - Trading off Bias and Variance and the Mean Squared Error - Consistency - Supervised learning - Unsupervised learning - Data Understanding - Attribute Understanding - Data Quality - Correlation Analysis - Outlier Detection - Missing Values - Principles of Modeling - Model Classes - Fitting Criteria and Score Functions - Error Functions for Classification Problems - Gradient Method - Types of Errors - Model Validation - Cross-Validation - Bootstrapping - Measures for Model Complexity - Data Preparation - Selecting Data - Feature Selection - Dimensionality Reduction - Clean Data - Construct Data - Complex Data Types - Finding Patterns - Notion of (Dis- )Similarity - Hierarchical Clustering - Prototype and Model-Based Clustering - Density-Based Clustering - Finding Explanations - Decision Trees - Finding Predictors - Nearest-Neighbor Predictors - Artificial Neural Networks - Support Vector Machines - Ensemble Methods -Combining Models - Committees - Boosting - Mixtures of experts - Evaluation and Deployment.