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Kernel principal component analysis
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Dimensionality reduction
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Principal Component Analysis: Geometric Interpretation and Dimension Reduction
Explores Principal Component Analysis for dimension reduction and data representation in a new basis.
Solutions to Kernel Exercises
Explores the impact of hyperparameters on iso lines and the importance of centering data in kernel PCA.
Linear Dimensionality Reduction
Explores linear dimensionality reduction through PCA, variance maximization, and real-world applications like medical data analysis.
Genes Mirror Geography within Europe
Covers the analysis of principal components using matrices to approximate genetic data.
Unsupervised Learning: Dimensionality Reduction
Explores unsupervised learning techniques for reducing dimensions in data, emphasizing PCA, LDA, and Kernel PCA.
Modeling Neurobiological Signals: Spikes & Firing Rate
Explores modeling neurobiological signals, focusing on spikes, firing rate, multiple state neurons, and parameter estimation.
Spectral Clustering: Theory and Applications
Explores spectral clustering theory, eigenvalue decomposition, Laplacian matrix, and practical applications in identifying clusters.
Principal Components Analysis
Covers Principal Components Analysis, a technique for dimensionality reduction and gene type analysis.
Principal Component Analysis: Introduction
Introduces Principal Component Analysis, focusing on maximizing variance in linear combinations to summarize data effectively.
Unsupervised learning: Young-Eckart-Mirsky theorem and intro to PCA
Introduces the Young-Eckart-Mirsky theorem and PCA for unsupervised learning and data visualization.