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Spectral Clustering: Finding Clusters
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Singular Values: Definitions and Properties
Covers the concept of singular values in linear algebra and their properties, including diagonalization and practical examples.
Singular Value Decomposition: Example
Explains the step-by-step process of finding the singular value decomposition of a matrix.
Kernel PCA: Nonlinear Dimensionality Reduction
Explores Kernel Principal Component Analysis, a nonlinear method using kernels for linear problem solving and dimensionality reduction.
Principal Components: Properties & Applications
Explores principal components, covariance, correlation, choice, and applications in data analysis.
Multivariate Methods I
Explores multivariate methods like PCA, SVD, PLS, and ICA for dimensionality reduction in functional brain imaging.
Unsupervised Learning: Movie Recommendation
Covers unsupervised learning for movie recommendation using singular value decomposition.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Diagonalization Techniques: Jacobi Method
Covers the Jacobi method, Givens rotation, QR decomposition, and diagonalization techniques in computational physics.