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Lecture
Variable Selection Methods: Filtering and Correlation
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Dimensionality Reduction: Curse of Dimensionality
Explores the curse of dimensionality, variable selection methods, coefficient of determination, and limitations of filtering techniques.
Quantifying Statistical Dependence: Covariance and Correlation
Explores covariance, correlation, and mutual information in quantifying statistical dependence between random variables.
Mutual Information in Biological Data
Explores mutual information in biological data, emphasizing its role in quantifying statistical dependence and analyzing protein sequences.
Linear Regression: Pearson Correlation
Covers the Pearson correlation, relationship direction, form, strength, and regression model assessment.
Dependence Concepts and Copulas
Explores dependence concepts, copulas, correlation fallacies, and rank correlations in statistics.
Data Handling: Problems and Distributions
Covers common data problems and important distributions, along with correlation and dependencies analysis.
Describing Data: Statistics and Hypothesis Testing
Covers descriptive statistics, hypothesis testing, and correlation analysis with various probability distributions and robust statistics.
Copulas: Properties and Applications
Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.
Mutual Information: Continued
Explores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.
Multilinear Regression: Least Square Fit
Explores multilinear regression, variance, correlation, optimization, ANOVA, and design procedures.