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Lecture
Spectral Clustering: Finding Clusters
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Unsupervised Learning: Clustering & Dimensionality Reduction
Introduces unsupervised learning through clustering with K-means and dimensionality reduction using PCA, along with practical examples.
PCA: Interactive class
On PCA includes interactive exercises and emphasizes minimizing information loss.
Spectral Decomposition and SVD
Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.
Jordan Normal Form: Theory and Applications
Explores the Jordan normal form and its applications in linear algebra, focusing on diagonalization and cyclic bases.
Diagonalization of Symmetric Matrices
Covers the diagonalization of symmetric matrices, the spectral theorem, and the use of spectral decomposition.
Decomposition Spectral: Symmetric Matrices
Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.
Matrices and Networks
Explores the application of matrices and eigendecompositions in networks.
Phase Portrait and Non-linear Systems
Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.
Linear Algebra: Singular Value Decomposition
Delves into singular value decomposition and its applications in linear algebra.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.