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