Geometry: Eulerian CircuitsExplores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.
Belief Propagation on GraphsExplores belief propagation on graphs, emphasizing normalization, recursive relations, and iterative computation of the partition function.
Stochastic Block ModelCovers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.
Polynomial Identity TestingCovers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Assembly: Mechanism TheoryCovers the problem statement of assembly, precision requirements, common couplings, stability, and spatial vectors.