Research map / Learning theory and algorithms / Prediction and decision losses
Selecting the independent coordinates of manifolds with large aspect ratios
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| select coordinates by IndEigenSearch instead of sequential LLRCoordSearch | diffusion-map embedding · three-torus synthetic data D13 | quality of selected coordinate set | Helped |
| choose coordinates {1,3} (maximizer of L) instead of {1,2} (ablation) | SDSS galaxy spectra embedding · SDSS n=50,000 | L: −1.24 -> −0.39 | Helped |
| use IndEigenSearch instead of LLRCoordSearch for runtime | coordinate selection · large real datasets | runtime scaling | Helped |
| IndEigenSearch versus LLRCoordSearch on other datasets | coordinate selection · synthetic and real data | selected coordinates | No clear effect |
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