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Mathematics and Machine Learning Closing Workshop

Harvard CMSA via YouTube

Overview

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Explore the intersection of mathematics and machine learning through this comprehensive workshop featuring 17 expert presentations from leading researchers. Delve into cutting-edge applications including machine learning approaches to knot theory, topological invariance, and the 4-genus problem, alongside advanced techniques for learning effective dynamics in complex systems and discovering new mathematical structures. Examine fluid dynamics singularities, generative modeling with flows and diffusions for scientific computing, and AI-driven mathematical digitization and intelligentization processes. Investigate image generation through score diffusion and renormalization group theory, sparse subgraph analysis of d-cubes, and transformer-based learning of Euler factors in elliptic curves. Discover how artificial intelligence assists mathematical research, machine learning applications to L-functions, and program search methodologies for mathematical discoveries using large language models. Study solvable models of scaling and emergence in deep learning, rigorous machine learning results through reinforcement learning, and innovative approaches to theorem proving and disproving. Learn about data visualization techniques incorporating category theory and geometry, providing a comprehensive overview of how machine learning is revolutionizing mathematical research and discovery across multiple domains.

Syllabus

Giorgi Butbaia | Machine learning smooth 4-genus of a knot
Petros Koumoutsakos| Learning the effective dynamics of complex systems
Tristan Buckmaster | Singularities in fluids
James Halverson | Learning the Topological Invariance of Knots
Kyu-Hwan Lee | Discovering New Mathematical Structures with Machine Learning
Eric Vanden Eijnden|Generative modeling w/flows & diffusions, w/applications to scientific computing
Bin Dong | AI for Mathematics: From Digitization to Intelligentization
Stephane Mallat | Image Generation by Score Diffusion and the Renormalisation Group
Wagner et al. | Sparse subgraphs of the d-cube with diameter d
Angelica Babei | Learning Euler factors of elliptic curves with transformers
Yang Hui He | AI assisted mathematics
Edgar Costa | Machine learning L-functions
Matej Balog | FunSearch: Mathematical discoveries from program search with large language models
Cengiz Pehlevan | Solvable Models of Scaling and Emergence in Deep Learning
Fabian Ruehle | Rigorous results from ML using RL
Ankit Anand and Abbas Mehrabian | From Theorem Proving to Disproving
Jürgen Jost | Data visualization with category theory and geometry

Taught by

Harvard CMSA

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