MATH-448 / 5 crédits

Enseignant:

Langue: Anglais

Remark: pas donné en 2021-22

## Summary

A first course in statistical network analysis and applications.

## Keywords

• network/graph
• Erdos-Renyi, configuaration and stochastic block models
• network summaries
• sparse networks
• exchangeability

## Required courses

• Probability and Statistics

## Recommended courses

• Probability and Statistics for mathematicians.

## Important concepts to start the course

• The material from first courses in probability and statistics.

## Learning Outcomes

By the end of the course, the student must be able to:

• Recognize when a network model is appropriate
• Compute simple network summaries
• Assess / Evaluate parameters of basic network models from data
• Assess / Evaluate a range of network models and understand their properties
• Assess / Evaluate the implications of model symmetries

## Teaching methods

Ex cathedra lectures and exercises

Final exam.

## Supervision

 Office hours No Assistants Yes Forum No

No

## Bibliography

• R. Durrett: Random Graph Dynamics. Cambridge University Press 2007·
• E.D. Kolaczyk: Statistical Analysis of Network Data. Springer, 2009·
• Ibid Topics at the Frontier of Statistics and Network Analysis: (Re)Visiting The Foundations (SemStat Elements)·
• R. van der Hofstad. Random Graphs and Complex Networks Volume One, 2016 ·
• M. Newman: Networks: An Introduction, OUP 2010.

## Notes/Handbook

A photocopy of the course notes will be available.

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Statistical analysis of network data
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Statistical analysis of network data
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Statistical analysis of network data
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22