Harvard CMSA Courses

Mirror Construction for Nakajima Quiver Varieties

Explore the intricate relationship between quiver representation theory and mirror symmetry, focusing on Nakajima quiver varieties and their connection to Lagrangian immersions and ADHM construction.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - October 22, 2024

Dive into advanced theoretical concepts of deep learning, exploring mathematical foundations and cutting-edge developments in neural network architecture and optimization.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Interactive Theorem Proving with the Lean Theorem Prover

Dive into interactive theorem proving with the Lean prover, exploring its applications in mathematical proofs and machine learning through hands-on demonstrations and practical examples.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - October 15, 2024

Dive into advanced theoretical concepts of deep learning through expert analysis of fundamental principles, mathematical frameworks, and cutting-edge research developments.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - October 11, 2024

Explore advanced theoretical concepts and foundational principles of deep learning through expert-led discussions on neural network architecture, optimization, and mathematical frameworks.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - September 19, 2024

Dive into advanced theoretical concepts of deep learning, exploring mathematical foundations and cutting-edge developments in neural network architecture and optimization techniques.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - October 8, 2024

Dive into advanced theoretical concepts of deep learning through expert-led discussions on neural network architectures, optimization techniques, and mathematical foundations.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Graph Theory and Combinatorics

Dive into advanced graph theory and combinatorics concepts, exploring their applications in machine learning through expert-led mathematical analysis and problem-solving techniques.

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

Enumerative Geometry and Modularity in Two-Modulus K3-Fibered Calabi-Yau Threefolds

Delve into advanced algebraic geometry concepts focusing on K3-fibered Calabi-Yau threefolds, exploring their classification, moduli spaces, and mirror symmetry principles.

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

Math and Machine Learning Program - Graph Theory and Combinatorics

Explore advanced concepts in graph theory and combinatorics through mathematical approaches to machine learning applications.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Deep Learning Theory - October 1, 2024

Dive into advanced theoretical concepts of deep learning, exploring mathematical foundations and cutting-edge developments in neural network architecture and optimization techniques.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Hierarchical Data Structures Through the Lenses of Diffusion Models

Explore how diffusion models reveal hierarchical data structures, examining feature behaviors during noising-denoising processes and their implications for understanding generative AI.

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

Infinite Limits and Scaling Laws for Deep Neural Networks

Delve into the mathematical foundations of neural network scaling, exploring infinite parameter limits, learning dynamics, and how model size and training resources impact deep learning performance.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Topics in Deep Learning Theory - September 24, 2024

Explore advanced theoretical concepts in deep learning through expert analysis of foundational principles, mathematical frameworks, and cutting-edge research developments.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Introduction to Knot Theory - September 23, 2024

Dive into the fascinating world of knot theory and its mathematical foundations, exploring topological concepts and their applications in modern mathematical analysis.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video