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Fall 2025: Foundation models for spatial-time series

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Topics to discuss

  1. State Space Models, Convolution, SSA, SSM (Spectral Submanifolds)
  2. Neural and Controlled ODE, Neural PDE, Geometric Learning
  3. Operator Learning, Physics-informed learning, and multimodeling
  4. Spatial-Temporal Graph Modeling: Graph convolution and metric tensors
  5. Riemmannian models; time series generation
  6. AI for science: mathematical modelling principles

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Intellectual data analysis course

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