Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Diffusion ModelsExplores diffusion models, focusing on generating samples from a distribution and the importance of denoising in the process.
Handling Network DataCovers handling network data, types of graphs, centrality measures, and properties of real-world networks.
Concentration InequalitiesCovers concentration inequalities and sampling methods for estimating unknown distributions, with a focus on population infection rates.
Probability and StatisticsCovers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.
Exponential FamilyExplores the Exponential Family distribution, covering entropy, energy, and moments.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.