Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Conditional Expectation: BasicsIntroduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Probability and StatisticsIntroduces key concepts in probability and statistics, covering random experiments, events, intersections, unions, and more.
Probability and StatisticsIntroduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Quantum States and OperatorsCovers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.
Generalization ErrorExplores tail bounds, information bounds, and maximal leakage in the context of generalization error.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Introduction to Probability TheoryCovers the basics of probability theory, including definitions, calculations, and important concepts for statistical inference and machine learning.