Belief PropagationExplores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.
Stochastic Block ModelCovers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.
Conditional Statements & Graph TheoryCovers conditional statements and graph theory, including proof techniques and concepts related to graphs, paths, connectivity, and gossip protocols.
Sparsest Cut: ARV TheoremCovers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Information Theory: BasicsCovers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.
Distances and Motif CountsExplores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.
Networks, FlowsCovers the definition of flow in a network and flow calculation.