250116 VO Introduction to complex network analysis (2024W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Moodle

Tu 12.11. 16:45-18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Lecturers

Jörg Menche

Classes (iCal) - next class is marked with N

Tuesday 01.10. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 08.10. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 15.10. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 22.10. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 29.10. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 05.11. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
N Tuesday 12.11. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 19.11. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 26.11. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 03.12. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 10.12. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 17.12. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 07.01. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.01. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.01. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.01. 16:45 - 18:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Networks provide a unifying framework for studying complex systems that consist of many interacting components. A wide range of systems can be understood as networks, from the molecular interactions within our cells, to computers connected across the globe via the internet, and social relationships between people. Network science is an interdisciplinary field drawing from graph theory, statistical physics, data science, but also social science and biology.

In this course we will introduce the fundamental concepts of network science and showcase key applications, with a particular focus on biological systems. Topics include the characterization of local and global network structures, random graph models and community detection. The course covers analytical models, as well as their computational implementation and application to real-world datasets.

The overarching goal of the course is to understand how studying network structures can help us understand the complex real-world systems that they represent. By the end of the course, students are expected to be able to identify, construct, and analyze networks by choosing and applying appropriate methods and algorithms. Students are also expected to be able to explain, both mathematically and conceptually, the key network concepts, models, and statistical properties, as well as their implications.

The course requires a good foundation in mathematics and statistics, basic knowledge in python programming is a plus, but not a prerequisite.

The exercises of this course will be discussed in the accompanying proseminar 250117
https://ufind.univie.ac.at/de/course.html?lv=250117&semester=2024W

Assessment and permitted materials

There will be a written exam at the end of the semester.

Minimum requirements and assessment criteria

At least 40% of all points in the final written exam.

Examination topics

Entire content of the lecture.

Reading list

The lecture will be based on the book Network Science by Albert-László Barabási (Cambridge University Press, 2016). The book can also be accessed online http://networksciencebook.com

Other literature:

M.E.J. Newman; The Structure and Function of Complex Networks; SIAM Rev., 45(2), 167–256 (2003) https://doi.org/10.1137/S003614450342480

R. Albert and A.-L. Barabási; Statistical mechanics of complex networks; Rev. Mod. Phys. 74, 47 (2002) https://doi.org/10.1103/RevModPhys.74.47

M.E.J. Newman; Networks; Oxford University Press (2018)

Python programming:

https://www.python.org/about/gettingstarted Official Python website with lots of resources for both beginners and experienced programmers.

https://www.learnpython.org A web-based interactive tutorial for beginners.

https://networkx.org A Python module for network analysis and visualization.

https://github.com/CambridgeUniversityPress/FirstCourseNetworkScience Python-based network science introduction.

Association in the course directory

MBIV; MAMV

Last modified: Su 29.09.2024 17:26