Lectures related to Dual graph

Graph Surfaces: Integration and Vector Calculus

Covers integrating functions over graph surfaces in vector calculus, emphasizing the interpretation of divergence theorem and special cases of domain between two graphs.

Linear Algebra: Matrices and Linear Applications

Covers matrices, linear applications, vector spaces, and bijective functions.

Stirling's Formula: Applications and Embeddings

Explores Stirling's formula applications, polarization in vectors, and graph embeddings in Euclidean space.

Consensus Algorithms: Weight Assignment and Applications

Explores the design of graph weights for consensus and applications in sensor networks.

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Linear Algebra: Diagonalization

Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.

Consensus in Networked Control Systems

Explores consensus in networked control systems through graph weight design and matrix properties.

Stochastic Block Model: Community Detection

Covers the Stochastic Block Model for community detection, focusing on the detection of communities, clusters, and groups.

Stochastic Block Model: Community Detection

Covers the Stochastic Block Model for community detection.

Low Diameter Random Partitioning

Discusses Low Diameter Randomized Decomposition and graph partitioning for edge cuts and coloring.

Graph Surfaces and Sphere in Spherical Coordinates

Covers graph surfaces with an example of a surface defined by a parametric equation.

Knowledge Inference for Graphs

Explores knowledge inference for graphs, discussing label propagation, optimization objectives, and probabilistic behavior.

Approximate Inference Algorithm

Covers the Chow-Liu algorithm for approximate inference and optimal tree approximation.

Decentralized ML: Collaborative Training & Causal Influence Structure

Explores collaborative training in decentralized ML and causal influence structure discovery.

Periodic Solutions in Planar Systems

Explores the absence and existence of periodic solutions in planar systems.

Automorphism groups of trees and graphs

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Topological Sort and SCC

Explores topological sort, acyclic graphs, Strongly Connected Components, magic algorithm, component graph, flow networks, and their applications.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Clustering: K-means & LDA

Covers clustering using K-means and LDA, PCA, K-means properties, Fisher LDA, and spectral clustering.

Graph Models and Brain Connectomics

Explores graph theory in brain connectomics, MRI applications, network analysis relevance, and individual fingerprinting.