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Related lectures (31)
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Detection & Estimation
Covers the fundamentals of detection and estimation theory, focusing on mean-squared error and hypothesis testing.
Partial Derivatives: Composition of Functions
Explores partial derivatives in composing functions, continuity proofs, mean value theorem applications, and integral calculus implications.
Discrete Optimization: Set Covering
Explores the set covering problem through the example of completing a sticker collection at a minimum cost.
Maximal Correlation: Information Measures
Explores maximal correlation in information theory, mutual information properties, Renyi's measures, and mathematical foundations of information theory.
Discrete-Time Markov Chains: Definitions
Covers the definitions and state probabilities of discrete-time Markov chains.
The Backpack Problem
Introduces the backpack problem, a discrete optimization problem with constraints and algorithms to solve it.
Mixture Models: Simulation-based Estimation
Explores mixture models, including discrete and continuous mixtures, and their application in capturing taste heterogeneity in populations.
Constructing Real Numbers: Decimal Expansion
Covers constructing real numbers through decimal expansion and the concept of discrete and continuous random variables.
Discrete Variables: Spatial Arrangement and Neighbourhood
Covers geometric properties, spatial arrangement, autocorrelation, and neighbourhood analysis in geographic information systems.
Discrete Optimization: Traveling Salesman Problem
Covers the traveling salesman problem, modeling, constraints, additional constraints, and network representation.