Stein Algorithm: Polynomial Identity Testing

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

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

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

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

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

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers the Simplex algorithm for function minimization with linear constraints.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.