Fold 0 - Understanding why coefficient -20667 was selected
Tag: NEW ORLEANS
Selected Coefficient: -20667
Taxonomy Path: -0.0.3
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -20667 | 2.000145 | -0.0.3 | -3.0.0 (-(3*83^2)) | Yes | |
| 0 | 2.000145 | 0 | 0 (0) | No | |
| -661945409606 | 3.000000 | -72.81.25.77.3.2.2 | -2.2.3.77.25.81.72 (-(2*83^6 + 2*83^5 + 3*83^4 + 77*83^3 + 25*83^2 + 81*83 + 72)) | No | |
| -621911363 | 3.000000 | -82.82.54.8.13 | -13.8.54.82.82 (-(13*83^4 + 8*83^3 + 54*83^2 + 82*83 + 82)) | No |
These are the training products that have the "NEW ORLEANS" tag (processing sequence 6706). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 18649 | Cartoon Kitty Cat Wall Art | 0 | MASK, FRENCH | 20667 | none | ||
| 27228 | Greatest Hits | Cash Money Records | -20667 | HIP HOP | 0 | none | ||
| 18654 | Rooster Wall Mask- Gaston | -621911363 | MASK | -621890696 | none | ||
| 18683 | Ornament- Water Meter | -661945409606 | ORNAMENTS | -661945388939 | DECOR |