MS-E1603 - Random graphs and network statistics, 09.09.2019-17.10.2019

Omfattning: 5

Tidtabel: 09.09.2019 - 17.10.2019

Kontaktuppgifter till kursens personal (gäller denna kursomgång):

Undervisningsperiod (är i kraft 01.08.2018-31.07.2020):

I Autumn (2018-2019, 2019-2020)

Lärandemål (är i kraft 01.08.2018-31.07.2020):

The goal of the course is to get introduced to key statistical network concepts and their mathematical foundations, the theory of random graphs. The course is targeted for students in mathematics, operations research, and computer science, with interest in probability, graphs, and networks. You will become familiar with basic statistical models used to model unknown network structures. You will gain insight into the type of structural network properties that can be learned from a single graph sample. You will learn to investigate how well an observed graph fits a given statistical model by comparing observed and theoretical graphlet densities. You learn to apply probabilistic inequalities for recognizing almost surely occurring events in large random systems.

Innehåll (är i kraft 01.08.2018-31.07.2020):

The first part of the course focuses on random graph models and their mathematical analysis. The second part focuses on the learning and identifiability of graph parameters and structural properties from observed network data.

Metoder, arbetssätt och bedömningsgrunder (är i kraft 01.08.2018-31.07.2020):

Homework, project work

Arbetsmängd (är i kraft 01.08.2018-31.07.2020):

Contact hours 30-40h, independent work ca 100h

Studiematerial (är i kraft 01.08.2018-31.07.2020):

Lecture notes, selected research articles, supplementary online material.

Kursens webbplats (är i kraft 01.08.2018-31.07.2020):

https://mycourses.aalto.fi/course/search.php?search=MS-E1603

Förkunskaper (är i kraft 01.08.2018-31.07.2020):

MS-C2111 Stochastic processes, MS-C1620 Statistical inference (recommended), MS-E1600 Probability theory (recommended)

Bedömningsskala (är i kraft 01.08.2018-31.07.2020):

0-5

Närmare information om tidtabellen (gäller denna kursomgång):

• Lectures: Mon 12–14 @ Room M237 (Otakaari 1) and Thu 12–14 @ Room M3 (Otakaari 1)
• Exercises: Thu 14–16 @ Room Y307 (Otakaari 1)