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Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Conditional ExpectationCovers conditional expectation, Fubini's theorem, and their applications in probability theory.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Conditional ProbabilityCovers conditional probability, probability distributions, and choosing the right distribution for specific scenarios.