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Lecture
Estimating the Term Structure: Principal Component Analysis
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Principal Component Analysis: Olympic Medals & Image Compression
Explores PCA for predicting medals distribution and compressing face images.
Multivariate Methods I
Explores multivariate methods like PCA, SVD, PLS, and ICA for dimensionality reduction in functional brain imaging.
Multivariate Statistics: Normal Distribution
Covers the multivariate normal distribution, properties, and sampling methods.
Linear Algebra: Singular Value Decomposition
Delves into singular value decomposition and its applications in linear algebra.
Principal Component Analysis: Understanding Data Structure
Explores Principal Component Analysis, dimensionality reduction, data quality assessment, and error rate control.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
Principal Component Analysis: Properties and Applications
Explores Principal Component Analysis theory, properties, applications, and hypothesis testing in multivariate statistics.
Linear Dimensionality Reduction: PCA and LDA
Explores PCA and LDA for linear dimensionality reduction in data, emphasizing clustering and class separation techniques.
Principal Component Analysis: Applications and Limitations
Explores the applications and limitations of Principal Component Analysis, including denoising, compression, and regression.
Dimensionality Reduction: PCA & LDA
Covers PCA and LDA for dimensionality reduction, explaining variance maximization, eigenvector problems, and the benefits of Kernel PCA for nonlinear data.