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Related lectures (18)

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Max-flow and Disjoint Sets

Explores the Ford-Fulkerson method, max-flow, applications of max-flow, and the disjoint-set data structure.

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Algorithms: Union Find and Minimum Spanning Trees

Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.

Spectral Clustering: Finding Clusters

Explores Spectral Clustering, eigenvalue decomposition, Laplacian matrices, and cluster identification through eigenvector projections.

Topology: Homotopy and Cone Attachments

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Exponential Maps: Properties and Applications in Lie Groups

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Attachment of a 1-cell

Explores the attachment of a 1-cell to a space and the conditions for points to belong to the same connected component.

Spectral Clustering and Laplacian Eigenmaps

Explores spectral clustering, Laplacian eigenmaps, and non-linear embeddings in advanced machine learning.