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Related lectures (30)

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Variational Formulation: Information Measures

Explores variational formulation for measuring information content and divergence between probability distributions.

Hoeffding's Inequality: Binomial Distribution

Explores Hoeffding's inequality and the binomial distribution, focusing on error minimization and generalization gaps in predictor selection.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Hoeffding's Inequality

Explores Hoeffding's inequality and its applications in probability theory and statistical analysis.

Optimal Transport: Heat Equation and Metric Spaces

Explores optimal transport in heat equations and metric spaces.

Uniform Integrability and Convergence

Explores uniform integrability, convergence theorems, and the importance of bounded sequences in understanding the convergence of random variables.

Generalization Error

Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.

Zig Zag Lemma

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Multivariate Statistics: Wishart and Hotelling T²

Explores the Wishart distribution, properties of Wishart matrices, and the Hotelling T² distribution, including the two-sample Hotelling T² statistic.

Probability Theory: Integration and Convergence

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.