Fold 2 - Understanding why coefficient 5111307 was selected
Tag: DOGS
Selected Coefficient: 5111307
Taxonomy Path: 1.79.77.8
Taxonomy Name:
Products with this tag: 15
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 5111307 | 10.036145 | 1.79.77.8 | 8.77.79.1 (8*83^3 + 77*83^2 + 79*83 + 1) | Yes | |
| 1687889 | 10.036290 | 1.1.79.2 | 2.79.1.1 (2*83^3 + 79*83^2 + 83 + 1) | No | |
| 62085 | 10.036290 | 1.1.9 | 9.1.1 (9*83^2 + 83 + 1) | No | |
| -668232 | 10.048193 | -82.82.13.1 | -1.13.82.82 (-(571787 + 13*83^2 + 82*83 + 82)) | No | |
| 4023344 | 11.000292 | 2.2.3.7 | 7.3.2.2 (7*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 20835 | 11.000292 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | No | |
| 1240188 | 11.000435 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| 2900437 | 11.000435 | 2.2.6.5 | 5.6.2.2 (5*83^3 + 6*83^2 + 2*83 + 2) | No | |
| 0 | 11.012048 | 0 | 0 (0) | No | |
| 102432624 | 11.036145 | 0.1.12.13.2 | 2.13.12.1.0 (2*83^4 + 13*83^3 + 12*83^2 + 83) | No | |
| 189 | 14.000000 | 23.2 | 2.23 (2*83 + 23) | No | |
| 7058 | 14.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No |
These are the training products that have the "DOGS" tag (processing sequence 7123). 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 |
|---|---|---|---|---|---|---|---|
| 8152 | Winter (3 Pets) - Custom Pet Canvas | 102432624 | CANVAS, CATS | 97321317 | none | ||
| 7506 | 1.5" 'Fetch' Bone | 5111307 | DOG TAG | 0 | none | ||
| 7505 | 1" Puppy - Assorted | 5111307 | DOG TAG | 0 | none | ||
| 25365 | Minifig German Shepherd v3 | 4023344 | none | -1087963 | none | ||
| 20447 | WONTON The Wild Thing Onesie (LIMITED EDITION) | 2900437 | none | -2210870 | none | ||
| 20442 | WONTON THE FORCE COLLECTION Rebel Fighter Suit | 1687889 | POCKETS | -3423418 | none | ||
| 15140 | Boomer 8 Dog Bowl | 1240188 | none | -3871119 | none | ||
| 20423 | WONTON DOGTOR STRANGE onesie | 62085 | none | -5049222 | none | ||
| 25407 | Minifig German Shepherd | 20835 | none | -5090472 | none | ||
| 27546 | Guilty | 7058 | none | -5104249 | none | ||
| 17769 | Gen 2 Dog Party Pattern | 189 | none | -5111118 | none | ||
| 29479 | Pet Wedding Stir Sticks Dog or Cat Wedding or Bridal Shower Stir Sticks, Personalized Bar Decor Wedding Party Shower Drink Swizzle | 0 | MODERN DECORATION, BRIDAL PARTY, PARTY FAVORS | -5111307 | PETS | ||
| 20417 | WONTON DESIGN 4 Year Celebration Limited Edition shirt (Pima cotton) | 0 | BUTTON UP | -5111307 | none | ||
| 20429 | WONTON Easter Bunny male onesie | 0 | HOOD | -5111307 | none | ||
| 20441 | WONTON The Duck FISHERMAN HAT | -668232 | HAT | -5779539 | none |