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Lecture
Probability: Examples
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Generalization Error
Explores tail bounds, information bounds, and maximal leakage in the context of generalization error.
Convergence in Law: Theorem and Proof
Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.
Elements of Statistics: Probability and Random Variables
Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.
Conditional Probability: Basics and Examples
Explains conditional probability through dice and coin examples.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Probability Fundamentals
Introduces fundamental probability concepts, including events, complements, conditional probability, and random variables.
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Covers the Expectation Maximization algorithm for learning parameters and dealing with unknown variables.
Law of Total Probability
Explores the Law of Total Probability and its applications in real-world scenarios, introducing key concepts in probability theory.
Probability and Random Variables: Key Concepts Explained
Explains key concepts in probability, including conditional probability, independence, and random variables, with practical examples to illustrate their applications.