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Lecture
Hierarchical Clustering: Dendrograms and Linkage Functions
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Dimensionality Reduction: PCA and LDA
Covers dimensionality reduction techniques like PCA and LDA, clustering methods, density estimation, and data representation.
Clustering Methods
Explores clustering methods for partitioning data into meaningful classes when labeling is unknown, covering K-means, dissimilarity measures, and hierarchical clustering.
Kernel K-means: Analysis and Applications
Explores Kernel K-means algorithm, its analysis, applications, and limitations in clustering.
Characterisation of Clusters: Homogeneity, Separability
Explores centroid, medoid, homogeneity, separability in clustering, quality evaluation, stability, expert knowledge, and clustering algorithms.
Cluster Analysis: Methods and Applications
Explores cluster analysis methods and applications in genomic data analysis, covering classification, gene expression clustering, visualization, distance metrics, and clustering algorithms.
Clustering Methods: K-means and DBSCAN
Explores K-means and DBSCAN clustering methods, discussing properties, drawbacks, initialization, and optimal cluster selection.
Statistical Physics of Clusters
Explores the statistical physics of clusters, focusing on complexity and equilibrium behavior.
Unsupervised Learning: Dimensionality Reduction and Clustering
Covers unsupervised learning, focusing on dimensionality reduction and clustering, explaining how it helps find patterns in data without labels.
K-means Algorithm
Covers the K-means algorithm for clustering data samples into k classes without labels, aiming to minimize the loss function.
Expectation Maximization and Clustering
Covers the Expectation Maximization algorithm and clustering techniques, focusing on Gibbs Sampling and detailed balance.