Laplacian matrix

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Related lectures (31)

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Graph Alignment: Wasserstein-based

Discusses challenges in comparing non-Euclidean data, proposing a Laplacian-based solution for graph alignment and exploring optimal transport for graph distance computation.

Networked Control Systems

Explores networked control systems, covering current injection, Laplacian flow, consensus states, and balanced digraph design.

Process Models & Parameter Identification

Covers calibrating models using measurements, virtual sensors, data reconciliation, and parameter identification in process models.

Matrix Tree Theorem

Explores the Matrix Tree Theorem and its application in calculating spanning trees in graphs.

Networked Control Systems: Properties and Connectivity

Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.

Laplacian Matrix: Properties and Examples

Explores the Laplacian matrix, time-varying consensus theorems, and balanced graphs in networked control systems.

Interlacing Families and Ramanujan Graphs

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Pseudo Randomness in Graphs

Explores pseudo randomness in graphs using eigenvalues and polynomials, emphasizing the significance of bunched roots and common interlacers.

Spectral Clustering: Finding Clusters

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

Networks: Computer Representation

Covers the concept of adjacency matrix and adjacency lists for representing networks.