Mean-Field Theory Courses and Certifications

Fields Institute

On the Limit Theory of Mean Field Optimal Stopping with Common Noise

Exploración de la teoría del límite en la detención óptima del campo medio con ruido común, presentada por Xihao He en la Conferencia Oriental de Finanzas Matemáticas.

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

GERAD Research Center

Mean Field Limits of Heterogeneous Networks - Informal Systems Seminar

Explora los límites de campo medio en redes heterogéneas, su influencia en sistemas de partículas interactivas y aplicaciones en fenómenos científicos complejos.

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

Phases of Matter: Solid, Liquid, Gas and Beyond

Explore emergent phenomena in physics, from basic matter states to complex systems. Learn about symmetry, energy, entropy, and analytical tools for understanding phase transitions.

• Coursera
• 13 hours 12 minutes
• On-Demand
• Free Online Course (Audit)

Computational Neuroscience: Neuronal Dynamics of Cognition

This course explains the mathematical and computational models that are used in the field of theoretical neuroscience to analyze the collective dynamics of thousands of interacting neurons.

• edX
• 6 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

Institute for Pure & Applied Mathematics (IPAM)

A Rigorous Framework for Embedding Realistic Interacting Quantum Systems

Explore a novel quantum embedding approach for coupling system fragments with long-range interactions, addressing limitations in current methodologies and offering systematic improvability for more reliable results.

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

Kavli Institute for Theoretical Physics

Dynamic Correlators for Kitaev Materials - A Mean-Field Approach - Tessa Cookmeyer

Explore dynamic correlators in Kitaev materials using mean-field theory. Gain insights into quantum magnetism and topological states, with applications to real materials and emergent phenomena.

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

International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 3

Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.

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

Institut Henri Poincaré

Recent Results on Mean Field Analysis of Spiking Neuron Networks

Explore recent findings on mean field theory applied to networks of spiking neurons, examining mathematical models and their implications for understanding neural dynamics.

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

Institut Henri Poincaré

Spontaneous Oscillations in Pure Excitatory Mean Field Networks of Neurons

Explore spontaneous oscillations in excitatory mean field neural networks, examining their behavior and implications for understanding brain dynamics.

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

Institut Henri Poincaré

Fluctuation Limits for Mean-Field Interacting Nonlinear Hawkes Processes

Explore fluctuation limits in mean-field interacting nonlinear Hawkes processes, examining mathematical models and their applications in complex systems analysis.

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

MuST Program for Disordered Materials

Introduction to the Cluster Variation Method (CVM) for Alloys

Explore Kikuchi's cluster variation method, its applications in Ising models and alloys, and learn about entropy approximations and high entropy alloys.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Mean-Field Limits for Singular Flows

Explore mean-field limits for singular flows, focusing on Coulomb and Riesz interactions. Learn convergence methods, modulated energy techniques, and global-in-time convergence for N-point systems.

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

ICTP-SAIFR

Synchronization in High Dimensions: Mean-Field Theory of Vector Spin Models on Networks with Arbitrary Degree Distributions

Explora la sincronización en altas dimensiones mediante la teoría de campo medio de modelos de espín vectorial en redes con distribuciones de grado arbitrarias.

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

NCCR SwissMAP

Correlation Energy of the Electron Gas in the Mean Field Regime

Explore effective theories in classical and quantum particle systems, focusing on correlation energy of electron gas in the mean field regime.

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

VinAI

Mean Field Limit in Neural Network Learning

Explore the mean field limit in neural network learning, examining optimization dynamics, convergence to global optima, and data representation in autoencoders. Insights from physics of interacting particles.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video