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Related lectures (40)
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Untitled
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Restriction, Prolongement et Graphe d'une Fonction
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Explains the relationship between two functions through restriction and prolongation, emphasizing the importance of defining a function by its graph.
Stein Algorithm: Polynomial Identity Testing
Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
Graph Algorithms: Modeling and Traversal
Covers graph algorithms, modeling relationships between objects, and traversal techniques like BFS and DFS.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Approximation Algorithms
Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Exponential Family
Covers the concept of the exponential family and discusses forward and backward maps, expensive computations, parameters, functions, and convexity.
Compression: Kraft Inequality
Explains compression and Kraft inequality in codes and sequences.
Generalization Error
Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.
Untitled
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Graph and Diagonal
Discusses the graph of a relation and the concept of separation.
Sparsest Cut: ARV Theorem
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Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Convex Functions
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Covers the properties and operations of convex functions.
Analytical Study of Space
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Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Mathematical Analysis: Functions and Composition
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Covers the analysis of functions, composition, and mathematical induction.
Graph Sketching: Connected Components
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Covers the concept of graph sketching with a focus on connected components.
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