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Data Visualization and Unsupervised Learning - STAT 841 Winter 2017

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Overview

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Explore advanced unsupervised learning techniques through this comprehensive lecture series delivered by Professor Ali Ghodsi at the University of Waterloo during Winter 2017. Master fundamental and cutting-edge methods for high-dimensional data visualization, dimensionality reduction, and clustering analysis. Begin with Principal Component Analysis (PCA) in its ordinary, dual, and kernel forms, then progress through multidimensional scaling (MDS), Isomap, and Locally Linear Embedding (LLE). Delve into spectral clustering techniques, Laplacian Eigenmaps, and Maximum Variance Unfolding (MVU) before advancing to supervised dimensionality reduction methods. Learn about Non-negative Matrix Factorization (NMF) algorithms, Sum-Product Networks, and neural network architectures including autoencoders. Discover modern embedding techniques like Word2Vec skip-gram models and conclude with advanced topics in clustering using Mixture of Gaussians, t-SNE visualization, and Variational Autoencoders. Gain practical insights into interactive methods for exploring data structure and dependencies while building expertise in both traditional and contemporary approaches to unsupervised machine learning.

Syllabus

Ali Ghodsi, Lec 1: Principal Component Analysis
Ali Ghodsi, Lec 2: PCA (Ordinary, Dual, Kernel)
Ali Ghodsi, Lec 4: MDS, Isomap, LLE
Ali Ghodsi, Lec 5: LLE, Spectral Clustering
Ali Ghodsi, Lec 6: Spectral Clustering, Laplacian Eigenmap, MVU
Ali Ghodsi, Lec 7: MVU, Action Respecting Embedding, Supervised PCA
Ali Ghodsi, Lec 8: Supervised PCA
Ali Ghodsi, Lec 9: SPCA, Nystrom Approximation, NMF
Ali Ghodsi, Lec 10: NMF via R1D algorithm
Ali Ghodsi, Lec11: Sum-Product Networks
Ali Ghodsi, Lec 12: Neural Networks, Autoencoders, Word2Vec
Ali Ghodsi, Lec 13: Word2Vec Skip-Gram
Ali Ghodsi, Lec 14: Autoencoders, Clustering, Mixture of Gaussians
Ali Ghodsi, Lec 15: t-SNE
Ali Ghodsi, Lec 16: Variational Autoencoders

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