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Advanced Counting: Quiz
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Advanced Counting: Examples
Covers advanced counting techniques, including linear recurrence relations and generating functions, with examples from the Fibonacci sequence and differences between dice and poker cards.
Counting with Recurrence Relations: Fibonacci Sequence and Bit Strings
Covers the definition of recurrence relations and their application in counting problems.
Optimization Methods: Convergence and Trade-offs
Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.
Recursive Sequences: Convergence and Limits
Covers the study of recursive sequences, focusing on convergence and limits.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Discriminant Analysis: Bayes Rule
Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.
Principal Components: Properties & Applications
Explores principal components, covariance, correlation, choice, and applications in data analysis.
Primal-dual Optimization: Extra-Gradient Method
Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.
Derivability and Composition
Covers derivability, linear applications, composition of functions, and the gradient vector.
Copulas: Properties and Applications
Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.