Fold 4 - Understanding why coefficient 41833 was selected
Tag: MOST POPULAR
Selected Coefficient: 41833
Taxonomy Path: 1.6.6
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| 41833 | 3.048628 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | Yes | |
| 1178518 | 3.048628 | 1.6.5.2 | 2.5.6.1 (2*83^3 + 5*83^2 + 6*83 + 1) | No | |
| 21166 | 3.048773 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | No | |
| 96129190 | 3.072579 | 1.1.10.2.2 | 2.2.10.1.1 (2*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 2383678 | 3.072579 | 1.1.14.4 | 4.14.1.1 (4*83^3 + 14*83^2 + 83 + 1) | No | |
| 4092150 | 3.072579 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 124169 | 3.096386 | 1.2.18 | 18.2.1 (18*83^2 + 2*83 + 1) | No | |
| 2287148 | 10.000002 | 0.0.0.4 | 4.0.0.0 (4*83^3) | No | |
| 0 | 10.000002 | 0 | 0 (0) | No | |
| -41833 | 11.000000 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No |
These are the training products that have the "MOST POPULAR" tag (processing sequence 6004). 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 |
|---|---|---|---|---|---|---|---|
| 32918 | LEGACY BOMBER (GOLD) | 96129190 | none | 96087357 | 2PAC | ||
| 32930 | TONED LOGO TEES | 4092150 | none | 4050317 | none | ||
| 32929 | SWEAT LOGO SHORTS | 2383678 | none | 2341845 | none | ||
| 7075 | Phantom Seamless Biker Shorts | 2287148 | SHORTS | 2245315 | none | ||
| 26184 | Pearl & Turquoise Earring Charm 9k Gold | 1178518 | none | 1136685 | none | ||
| 26169 | Mini Pearl Moon Earring Charm 9k Gold | 1178518 | none | 1136685 | none | ||
| 32820 | Suede Logo Hats | 124169 | none | 82336 | none | ||
| 26277 | Turquoise & Diamond Flat Back Earring 9k Gold | 41833 | none | 0 | none | ||
| 26176 | Moonstone Boho Huggie Hoop Earring Sterling Silver | 41833 | none | 0 | none | ||
| 26278 | Turquoise Enamel Bracelet 9k Gold | 21166 | none | -20667 | none | ||
| 26270 | Scattered Diamond Huggie Hoop Earring 9k Gold | 0 | FULL PRICE | -41833 | none | ||
| 26096 | Labradorite & White sapphire Huggie Hoop Earring Sterling Silver | -41833 | WHITE SAPPHIRE, FULL PRICE | -83666 | none |