Belief PropagationExplores Belief Propagation in graphical models, factor graphs, spin glass examples, Boltzmann distributions, and graph coloring properties.
Conditional Statements & Graph TheoryCovers conditional statements and graph theory, including proof techniques and concepts related to graphs, paths, connectivity, and gossip protocols.
Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Max Sum DiversificationExplores maximizing diversity in document selection, graph clique determination, theorems on negative type, and convex optimization.
Networks, FlowsCovers the definition of flow in a network and flow calculation.
Geometry: Eulerian CircuitsExplores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.
