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Compression: PredictionCovers the concepts of compression and prediction using prefix-free codes and distributions.
ANOVA: Partitioning Total SSCovers ANOVA method, focusing on partitioning total sum of squares into treatment and error components, mean square calculations, Fisher statistic, and F-distribution.
Rare Events and Extreme ModelingExplores rare event modeling, challenges in estimating probabilities with limited data, and the application of extreme value theory in various fields.
Gaussian Random VectorsExplores Gaussian vectors, moment generating functions, independence, density functions, affine transformations, and quadratic forms.
ECDF and QuantilesCovers ECDF, quantiles, mean, median, and box plots for dataset analysis.
Optimization and SimulationCovers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.
Generalization ErrorDiscusses mutual information, data processing inequality, and properties related to leakage in discrete systems.