Анализ социальных сетей
Когда читается: 4 модуль
The course presents mathematical methods and computational tools for Social Network Analysis (SNA). SNA was pioneered by sociologist, but recently became an interdisciplinary endeavor with contributions from mathematicians, computer scientists, physicists, economists etc., who brought in many new tools and techniques for network analysis. In this course we will start with basic statistical descriptions of networks, analyze network structure, roles and positions of nodes in networks, connectivity patterns and methods for community detection. In the second part of the course we will discuss processes on networks and practical methods of network visualization. We conclude the course with examples from social media mining and Facebook, Vkontakte and Twitter analysis.
- Providing students with essential knowledge of network analysis applicable to real world data, with examples from today’s most popular social networks.
- Students know basic notation and terminology used in network science.
- Students understand basic principles behind network analysis algorithms.
- Students develop practical skills of network analysis in R programming language.
- Students visualize, summarize and compare networks.
- Students analyze real work networks.
- Introduction to network scienceIntroduction to network science. Examples.
- Descriptive network analysisBasic graph theory notations. Node degree. Node degree distribution. Power laws. Scale free networks. Connected components. Graph diameter. Average path length. Local and global clustering coefficients. Transitivity.
- Mathematical models of networksErdos-Reni random graph model. Bernoulli distribution. Phase transition, gigantic connected component. Diameter and cluster coefficient. Barabasi-Albert model. Preferential attachement. Small world model. Watts-Strogats model. Transition from regular to random.
- Node centralitiy and ranking on networkNode centrality metrics, degree centrality, closeness centrality, betweenness centrality, eigenvector centrality. Katz status index and Bonacich centrality, alpha centrality PageRank,Hubs and Authorites.
- Network communitiesCohesive subgroups. Graph cliques. Network communities. Graph partitioning. Modularity. Edge Betweenness. Spectral partitioning. Modularity maximization. Heuristic methods. Label propagation. Fast community unfolding. Walktrap.
- Epidemics and information spreading in networksEpidemic models on networks. SI, SIS, SIR models. Rumor spreading. Propagation trees.
- Diffusion of innovationDiffusion of innovation. Linear threshold model. Influence maximization.
- Spatial models of segregationSchelling's segregation model. Spatial segregation. Agent based modelling. Segregation in networks.
- Homework 1 (неблокирующий)
- Homework 2 (неблокирующий)
- Homework 3 (неблокирующий)
- Homework 4 (неблокирующий)
- Exam (неблокирующий)
- Промежуточная аттестация (4 модуль)0.4 * Exam + 0.15 * Homework 1 + 0.15 * Homework 2 + 0.15 * Homework 3 + 0.15 * Homework 4
- Easley, D. et al. Networks, crowds, and markets. – Cambridge : Cambridge university press, 2010. – 744 pp.
- Kolaczyk E. D., Csárdi G. Statistical analysis of network data with R. – New York : Springer, 2014. – 207 pp.
- Barabási A. L., Frangos J. Linked: the new science of networks science of networks. – Basic Books, 2002. – 211 pp.
- Zuur, A., Ieno, E. N., Meesters E. A Beginner's Guide to R. – Springer Science & Business Media, 2009. – 240 pp.