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Schedule, Notes/Handouts & Videos

Mathematical Spin Glass Theory (Courant, NY) August 05, 2024 - August 16, 2024

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Aug 05, 2024
Monday
09:00 AM - 10:15 AM
  Gaussian Processes: Basic Tools
Antonio Auffinger (Northwestern University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Introduction to Spin Glasses
Antonio Auffinger (Northwestern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 06, 2024
Tuesday
09:00 AM - 10:15 AM
  Gaussian Processes: Basic Tools
Antonio Auffinger (Northwestern University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Random Energy Model: Free energy
Antonio Auffinger (Northwestern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 07, 2024
Wednesday
09:00 AM - 10:15 AM
  Lecture 1
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture 2
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 08, 2024
Thursday
09:00 AM - 10:15 AM
  Poisson Point Processes, Poisson Dirichlet dist., Ruelle's cascades
Antonio Auffinger (Northwestern University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Random Energy Model: Inference
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 09, 2024
Friday
09:00 AM - 10:15 AM
  Concentration of the Hamiltonian and Ghirlanda-Guarra identities
Antonio Auffinger (Northwestern University)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  SK model: the Guerra-Toninelli proof of convergence
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 12, 2024
Monday
09:00 AM - 10:15 AM
  SK model: High Temperature via Cavity Method
Wei-Kuo Chen (University of Minnesota)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Cavity equation, TAP & AMP
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 13, 2024
Tuesday
09:00 AM - 10:15 AM
  SK model: High Temperature via Cavity Method
Wei-Kuo Chen (University of Minnesota)
10:15 AM - 12:00 PM
  Inference: low rank setting
10:15 AM - 10:45 AM
  Break
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 14, 2024
Wednesday
09:00 AM - 10:15 AM
  Parisi formula, Phase Transition, Ultrametricity
Wei-Kuo Chen (University of Minnesota)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Parisi formula for inference problems
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 03:30 PM
  Discussion/Problem Session
Aug 15, 2024
Thursday
09:00 AM - 10:15 AM
  Guerra's replica-symmetry-breaking bound
Wei-Kuo Chen (University of Minnesota)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Applications of AMP in inference and optimization
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Discussion/Problem Session
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Discussion/Problem Session
Aug 16, 2024
Friday
09:00 AM - 10:15 AM
  Aizenman-Sims-Starr Scheme
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Open Problems
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