Snapshots, whiteboard scans, notes

2012 April 30

  • Chapter 1 of [1]
  • Vandermonte determinant
  • Recasting a piecewise linear interp. as RBF interp.
  • Haar spaces, Thm 2
  • Point evaluation functionals $x_j^*$
  • [2] Learning from splines, p.7. No Haar spaces when $d\geq2$

2012 May 07

  • Continue with Thm 2
  • Examples of Chebyshev system
  • Thm3

2012 May 14

  • Thm 4,5,6

2012 May 21

  • Exercises 1-8

2012 June-July-August

  • Thin plate spline
  • Sobolev space
  • Unisolvent points
  • Polynomial reproduction
  • Norming sets
  • Shepard interpolation
  • Moving least squares

2012 Invertibility (positive definite functions, etc.)

  • Borel measure
  • Generalized Fourier transform
  • RBF classification and categorization theorems
  • Rick's notes on cond. pos. def. problem

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