Lectures related to Graph minor

Linear Transformations: Matrices and Kernels

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Stochastic Block Model: Community Detection

Covers the Stochastic Block Model for community detection.

Minimum Spanning Trees: Prim's Algorithm

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Counterfactuals: SEM and D-Separation

Explores counterfactuals in SEMs and D-Separation in graphical models.

Solving Parity Games in Practice

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.

Understanding Surface Integrals

Explores surface integrals, emphasizing physical interpretation and mathematical calculations in vector fields and domains.

Epidemics and Bootstrap Percolation in Square Lattice

Explores epidemics spread models and Bootstrap Percolation in square lattice networks, focusing on the Kolmogorov equation and probability generating functions.

Derivatives and Continuity in Multivariable Functions

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Graph Surfaces and Sphere in Spherical Coordinates

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

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Modular Programming: Managing Project Complexity

Covers modular programming principles, focusing on managing project complexity through effective code structuring and dependency management.

Variational Inference and Neural Networks

Covers variational inference and neural networks for classification tasks.

Isomorphic Graphs: Definition and Examples

Explains isomorphic graphs through examples and the relationship with identical graphs.

Cartesian Product: Graph Operations

Explores the Cartesian product operation on graphs and introduces the concept of cubes.

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.

Convergence of Cauchy Sequences: Theorem Applications

Covers the convergence of Cauchy sequences and its applications in theorems.

Applications of Differential Calculus

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Labor Income Share

Analyzes a macroeconomic model focusing on labor income share and the effects of productivity shocks on GDP, consumption, investment, and stock prices.

Graphical Models: Representing Probabilistic Distributions

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.