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
• On-Demand
• Free Video

Principles of Microeconomics: Producer Theory and Cost Analysis - Lecture 6

Explore producer theory fundamentals, including short-run and long-run cost curves, supply curve origins, and cost measurement techniques in microeconomics.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Production Theory - Lecture 5

Explore production theory concepts including production functions, short and long-run production, returns to scale, and productivity with Prof. Gruber in this microeconomics lecture.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Applications of the Large Sieve to Number Theory - Lecture 7

Explore the Bombieri-Vinogradov theorem and how the large sieve method reveals patterns in prime number distribution across different modular classes in advanced number theory.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Contagious Structure in Projection Theory - Lecture 11

Explore algebraic structure in exceptional directions within projection theory through advanced mathematical analysis and theoretical frameworks.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Sum-Product Theory - Lecture 10

Explore sum-product theory and additive number theory tools in this advanced mathematics lecture from MIT's Projection Theory course.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Introduction to Projection Theory - Lecture 01

Discover the fundamental questions and goals of projection theory, focusing on the exceptional set problem in this introductory MIT mathematics lecture.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Projection Theory in Euclidean Space - Lecture 3

Explore fundamental projection theory methods adapted for Euclidean space, examining multiple scales and their mathematical applications in this advanced mathematics lecture.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Fundamental Methods of Projection Theory - Lecture 2

Explore two fundamental methods for studying projections: Kaufman and Falconer's double counting technique and Fourier analysis approach from the 1960s-70s.

• YouTube
• 1 hour 20 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video