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Adaptation in Kohonen Maps
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Multivariate Methods I
Explores multivariate methods like PCA, SVD, PLS, and ICA for dimensionality reduction in functional brain imaging.
Dimensionality Reduction: Curse of Dimensionality
Explores the curse of dimensionality, variable selection methods, coefficient of determination, and limitations of filtering techniques.
Variance Reduction Techniques
Covers variance reduction techniques in stochastic simulation to improve accuracy and efficiency.
Describing Data: Statistics and Hypothesis Testing
Covers descriptive statistics, hypothesis testing, and correlation analysis with various probability distributions and robust statistics.
Multilinear Regression: Least Square Fit
Explores multilinear regression, variance, correlation, optimization, ANOVA, and design procedures.
Parseval Relations and Fourier Transform
Covers Parseval relations, Fourier series, energy calculation, and correlation in signal processing.
Principal Component Analysis: Introduction
Introduces Principal Component Analysis, focusing on maximizing variance in linear combinations to summarize data effectively.
Principal Components: Properties & Applications
Explores principal components, covariance, correlation, choice, and applications in data analysis.
Probability and Statistics
Covers probability, statistics, independence, covariance, correlation, and random variables.
Stylized Facts: Reproducible Research
Covers stylized facts in finance and reproducible research in scientific computing.