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Related lectures (31)
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Dependence and Correlation
Explores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Variance and Covariance: Properties and Examples
Explores variance, covariance, and practical applications in statistics and probability.
PCA: Derivation and Optimization
Covers the derivation of PCA projection, error minimization, and eigenvector optimization.
Principal Component Analysis: Understanding Data Structure
Explores Principal Component Analysis, dimensionality reduction, data quality assessment, and error rate control.
Stochastic Models for Communications
Covers random vectors, stochastic models, functions, matrices, and expectations in communication systems.
Propagation of Uncertainty: Estimation and Distribution
Discusses estimation and propagation of uncertainty in random variables and the importance of managing uncertainty in statistical analysis.
Fluctuation-dissipation relations for reversible diffusions
Covers linear response, steady states, Girsanov transforms, and covariance limits in reversible diffusions.
Max-Stable Models: Smith and Schlather
Covers the Smith and Schlather max-stable models, exploring their validity and interpretation.
Stable Laws: Lindeberg-Rafeller Theorem
Covers the Lindeberg-Rafeller theorem, discussing characteristic functions, moment problems, and the Central Limit Theorem.
Unsupervised Learning: PCA & K-means
Covers unsupervised learning with PCA and K-means for dimensionality reduction and data clustering.