1. Feb. 19, 2002 Kinh Tieu on LLE presentation
I’ll talk a little about Bregler&Omohundro
Kinh Tieu with computational experiments
Next class: Josh Tenenbaum guest lecturer, Matt Grimes with computational examples.

2. Comments on LLE paper
Note the form of the Science paper: 2 layers—main text and details in footnotes.
P comparison with isomap very carefully described.
Paper ends with a speculative bounce.

3. NIPS, 1993

4. Queries for manifolds Completion Nearest point Interpolation
Extrapolation

5. Goal of surface learning

6. Surface learning

7. Steps in surface learning
K-means clustering to find prototype centers.
PCA using a specified number of nearest neighbors at each prototype.
Use local variance info to put membership Gaussians at each prototype center.
Projection onto manifold surface:
Refine model by minimizing mse between training samples and nearest surface point using EM and gradient descent.

8. Snakes, without manifold-based prior models

9. With manifold-based prior…