Analysis of Social and Information Networks 2020/2021

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Class #1 (15-19 Feb)

  • [no video] Course overview: general information, evaluation, learning outcomes, overview of the program.

    Class #2 (22-26 Feb)

  • #1 - Motivation and the "small world" phenomenon [23m36s]
    An introduction to Network Science: motivation and the small world phenomenon
  • #2 - Emergence of Network Science [36m33s]
    Contributing factors to the emergence of network science; mining an learning with graphs: an overview of related tasks and topics.
  • #3 - Brief Introduction to Graph Theory and Network Vocabulary [35m33s]
    Brief introduction to graph theory and network vocabulary: links/edges, networks/graphs, self-loops, multi-graphs, simple graphs, undirected and directed networks, edge and node attributes (weigth, rank, type), degree distribution; multiplex networks, temporal networks, cliques, components (and giant component), bipartite networks (and projections)
  • Class #3 (1-5 Mar)

  • #4 - Measuring Graphs and Results on Real Networks [54m27s]
    Networks properties: degree distribution, paths, distance, diameter, average path length, clustering coefficient, connected components and giant component; properties of real networks: results for MSN and PPI; network datasets.

  • #5 - Erdös-Renyi Random Graph Model [56m39s]
    The Erdös-Renyi random graph model and its topological properties: degree distribution, cluster coefficient, expansion, path length and the emergence of a giant component; comparison of Erdös-Renyi with real-world graphs; usage of NetLog for visualization.

  • #6 - Small-World Random Graph Model [29m11s]
    Milgram's small world experiment; clustering and edge locality, the Watts-Strogatz model and the intermediate step between purely regular and purely random networks.

    Class #4 (8-12 Mar)

  • #7 - Power Laws and Preferential Attachment [1h35m09s]
    Power-laws in real-world degree distributions and typical exponents; power-law functions and their characteristics; scale-free networks; preferential attachment: origins, models, visualization and characteristics; fitting power laws: simple binning, logarithmic binning, cumulative distributions; power-laws in real distributions; other distributions.

    Class #5 (15-19 Mar)

  • #8 - Node Centrality [1h10m49s]
    Motivation: node importance and ranking; degree centrality and why it's not enough; betweenness centrality; closeness and harmonic centrality; eigenvector centrality and variants (e.g. bonachich); extension to directed and weighted networks.

    Class #6 (22-26 Mar)

  • #9 - Gephi Tutorial [41m12s]
    Using Gephi, an open-source network analysis and visualization software: GUI, plugins, changing node and edge appearance, graph layouts, computing metrics and statistics, filtering. Exploring two datasets: a Facebook ego network and the openflights dataset.

    Class #7 (29 Mar - 02 Apr)

  • #10 - Link Analysis and PageRank [1h44m03s]
    (...)

    Class #8 (12-16 Apr)

  • #11 - Roles and Community Structure in Networks [1h37m39s]
    (to be completed...)

    Class #9 (19-23 Apr)

  • #12 - Subgraphs as Fundamental Ingredients of Complex Networks [2h11m21s]
    (to be completed...)