Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Generalization ErrorExplores tail bounds, information bounds, and maximal leakage in the context of generalization error.
Course Overview: Teaser on Course ContentsOffers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Probability and StatisticsCovers Simpson's paradox, probability distributions, and real-life examples in probability and statistics.
Probability and StatisticsCovers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.
Probability and StatisticsIntroduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Probability and StatisticsCovers fundamental concepts in probability and statistics, including the law of total probability, Bayes' theorem, and independence of events.