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Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Bethe Free EntropyCovers the computation of Bethe free entropy and the interpretation of messages between variables and factors.
Causal Inference & Directed GraphsExplores causal inference, directed graphs, and fairness in algorithms, emphasizing conditional independence and the implications of DAGs.
Eigenvalues and SequencesDiscusses finding d-regular graphs with specific eigenvalue properties and the existence of Ramasugan sequences for d-opt prime numbers.
Geometric Rotations in 2DCovers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
Network Flows Meets SimplexExplores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.