Physics-aware machine learning and data assimilation
  • Luca Magri
  • People
    • Group
    • Collaborations
  • Publications
  • Research
    • Overview
    • Data assimilation and UQ
    • Physics-aware machine learning
    • Optimization
    • Chaos
    • Reacting flows
    • Sound
    • Linear methods from quantum mechanics
  • Teaching
    • University modules
    • Artificial intelligence for engineering
    • Mathematical methods
    • Summer/winter schools
  • Misc
    • Contact
    • Opportunities
    • Outreach >
      • Data-driven methods, machine learning and optimization
      • Data-driven Dynamical Systems Analysis
    • DNS Database
    • Open-source software

Mathematical methods

Lecture notes (Jupyter books)

1. Introduction to optimization

2. 1D Search methods

3. Multidimensional search methods

4. Constrained optimization: linear programming

5. Nonlinear constrained optimization

6. Global optimization: Simulated annealing

Videos

1D direct search: Golden section method


Constrained optimization: linear programming (simplex method)
© 2023 Luca Magri
  • Luca Magri
  • People
    • Group
    • Collaborations
  • Publications
  • Research
    • Overview
    • Data assimilation and UQ
    • Physics-aware machine learning
    • Optimization
    • Chaos
    • Reacting flows
    • Sound
    • Linear methods from quantum mechanics
  • Teaching
    • University modules
    • Artificial intelligence for engineering
    • Mathematical methods
    • Summer/winter schools
  • Misc
    • Contact
    • Opportunities
    • Outreach >
      • Data-driven methods, machine learning and optimization
      • Data-driven Dynamical Systems Analysis
    • DNS Database
    • Open-source software