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Intersemestre

Course unit

Probabilistic basis

Last updated: 22/02/2024

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Course Director(s):

BAY Xavier

General Description:

This unit module provides the techniques for describing, visualising and understanding data. It also provides the mathematical tools necessary for the other units of the Data Science major.

Key words:

gaussian process probabilist conditionning bayesian statistics generalized regression

Number of teaching hours

40

Fields of study

Mathematics

Teaching language

French

Intended learning outcomes

On completion of the unit, the student will be capable of: Classification level Priority
Knowing the fundamentals of data science (definition, theorem, proof, terminology 1. Knowledge Essential
Recognizing the nature of the exploration problem 2. Understand Essential
Formulating a problem 2. Understand Important
Applying mathematical tools 3. Apply Essential
Testing and analysing results 4. Analyse Essential
Interpreting results 5. Summarise Essential
Presenting and communicating on the technical analysis of results 6. Assess Important

Learning assessment methods

Percentage ratio of individual assessment Percentage ratio of group assessment
Written exam: 30 % Project submission: 0 %
Individual oral exam: 0 % Group presentation: 0 %
Individual presentation: 0 % Group practical exercise: 40 %
Individual practical exercise: 30 % Group report: 0 %
Individual report: 0 %
Other(s): 0 %

Programme and content

Type of teaching activity Content, sequencing and organisation
Course

Generalities: question of missing data, detection of outliers and robust methods, descriptive statistics

Course and practical work sessions with a case study – computer application

Course

Visualisation and dimension reduction: analysis of principle components, discriminatory descriptive analysis. Factorial analysis of similarities

Course and practical work sessions with a case study – computer application

Course

Gaussian vector statistics.

Course and practical exercises, supervised studies

Course

Combinatorial optimisation: classical methods

Course and practical work sessions with a case study – computer application