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Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Causal Inference & Directed GraphsExplores causal inference, directed graphs, and fairness in algorithms, emphasizing conditional independence and the implications of DAGs.
Introduction to Probability TheoryCovers the basics of probability theory, including definitions, calculations, and important concepts for statistical inference and machine learning.
Naive Bayes ClassifierIntroduces the Naive Bayes classifier, covering independence assumptions, conditional probabilities, and applications in document classification and medical diagnosis.
Information Measures: Part 1Covers information measures, tail bounds, subgaussions, subpossion, independence proof, and conditional expectation.
Stochastic Calculus: Lecture 1Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.
Probability and Statistics: FundamentalsCovers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Multinomial DistributionCovers the multinomial distribution, joint density, marginal distribution, and conditional distribution.