Graph Theory Courses

Music Information Retrieval - Sound to Score and Music Theory - Video 9a

Explore how Music Information Retrieval transforms audio into musical notation, addressing key challenges in computational music theory and analysis.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Projection Theory - Spring 2025

Explore advanced projection theory connecting geometry, harmonic analysis, and combinatorics through studying objects via their shadows in different directions.

• YouTube
• 1 day 7 hours 32 minutes
• Self-Paced
• Free Video

Relativistic Quantum Field Theory I - Spring 2023

Master quantum field theory fundamentals through MIT's comprehensive exploration of relativistic QFT, covering canonical quantization, Feynman diagrams, and QED applications.

• YouTube
• 1 day 10 hours 9 minutes
• Self-Paced
• Free Video

How People Learn - Cognitive Load Theory

Explore cognitive load theory, working memory, and instructional bottlenecks to understand how people process information and learn effectively in educational technology contexts.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Externalities in Theory and Practice - Lecture 3

Explore externalities through real-world examples of climate change and forest fires in this MIT public finance lecture by Prof. Jonathan Gruber.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Social Insurance Theory - Lecture 10

Explore inequality and government transfer programs through social insurance theory with Prof. Gruber's comprehensive analysis of public policy mechanisms.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Externalities in Theory - Lecture 2

Explore externalities theory through public goods, social insurance, and taxation frameworks with MIT's Prof. Gruber in this comprehensive public finance lecture.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Public Goods Theory, Optimality, and Pricing - Lecture 5

Explore public goods theory, optimality conditions, and pricing mechanisms for commodities provided without profit to all society members.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Graph Neural Networks - Architectures and Message Passing - Lecture 5

Explore graph neural networks, their connections to MLPs and CNNs, message passing algorithms, and theoretical limitations on expressive power with practical implications.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Approximation Theory - Lecture 3

Explore how deep neural networks approximate functions through universal approximation theorems, Barron's theorem, and the role of depth in expressivity.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Generalization Theory - Overparameterization, Double Descent, and Inductive Biases - Lecture 6

Explore overparameterization, double descent, and VC dimension limitations while understanding how inductive biases shape deep learning generalization.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Representation Learning - Theory - Lecture 13

Explore the theoretical foundations of representation learning, examining architectural inductive biases and neural network connections to Gaussian processes.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Divisibility - Number Theory and Applications Through GCD and Extended Euclidean Algorithm - Lecture 8

Explore number theory fundamentals through divisibility, greatest common divisor (GCD), and the Extended Euclidean Algorithm in this MIT mathematics lecture.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Graph Matching - Maximum Weight, Stable, and Bipartite Matching - Lecture 12

Explore graph matching theory including maximum weight matching, stable matching, and bipartite/non-bipartite graph algorithms in this MIT mathematics lecture.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Probability Theory and Stochastic Processes I - Lecture 5

Explore Principal Components Analysis and foundational probability concepts including Central Limit Theorem, utility optimization, and stochastic processes like martingales in finance.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video