Localization Methods - Perspectives on Initialization and Optimization - IPAM at UCLA

Localization Methods - Perspectives on Initialization and Optimization - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Random initializations BaTiO3

16 of 16

16 of 16

Random initializations BaTiO3

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Localization Methods - Perspectives on Initialization and Optimization - IPAM at UCLA

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  1. 1 Intro
  2. 2 The localization problem, mathematically
  3. 3 Localization, via linear algebra
  4. 4 Observations and choices
  5. 5 A simple 1d example
  6. 6 Real space vs periodic approximation
  7. 7 Periodic copies and Fourier transforms
  8. 8 The MLWF approach (abridged history)
  9. 9 Key challenges / shortcomings
  10. 10 A new formulation density convolution
  11. 11 Properties
  12. 12 The approximation, informally
  13. 13 Systematic approximation
  14. 14 Truncated density convolution (TDC)
  15. 15 A single optimization trajectory
  16. 16 Random initializations BaTiO3

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