Fold 1 - Understanding why coefficient 20835 was selected
Tag: DOGS
Selected Coefficient: 20835
Taxonomy Path: 2.2.3
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 13
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? |
|---|---|---|---|---|---|
| 20835 | 9.000294 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | Yes | |
| 5166918 | 9.000294 | 2.2.3.9 | 9.3.2.2 (9*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 4023344 | 9.000294 | 2.2.3.7 | 7.3.2.2 (7*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 2900437 | 9.000581 | 2.2.6.5 | 5.6.2.2 (5*83^3 + 6*83^2 + 2*83 + 2) | No | |
| 1240188 | 9.000581 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| 62085 | 10.024242 | 1.1.9 | 9.1.1 (9*83^2 + 83 + 1) | No | |
| 1687889 | 10.024242 | 1.1.79.2 | 2.79.1.1 (2*83^3 + 79*83^2 + 83 + 1) | No | |
| -668232 | 10.036145 | -82.82.13.1 | -1.13.82.82 (-(571787 + 13*83^2 + 82*83 + 82)) | No | |
| 48181335 | 10.036145 | 1.79.21.1.1 | 1.1.21.79.1 (47458321 + 571787 + 21*83^2 + 79*83 + 1) | No | |
| 0 | 12.000000 | 0 | 0 (0) | No | |
| 1283 | 13.000000 | 38.15 | 15.38 (15*83 + 38) | No | |
| 96059980 | 13.000000 | 13.80.82.1.2 | 2.1.82.80.13 (2*83^4 + 571787 + 82*83^2 + 80*83 + 13) | No | |
| 7058 | 13.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No |
These are the training products that have the "DOGS" tag (processing sequence 7100). 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 | 96059980 | CATS | 96039145 | none | ||
| 1773 | Bamboo Dog Brush | 48181335 | CATS | 48160500 | PETS | ||
| 7506 | 1.5" 'Fetch' Bone | 5166918 | none | 5146083 | none | ||
| 25365 | Minifig German Shepherd v3 | 4023344 | none | 4002509 | none | ||
| 20447 | WONTON The Wild Thing Onesie (LIMITED EDITION) | 2900437 | none | 2879602 | none | ||
| 20442 | WONTON THE FORCE COLLECTION Rebel Fighter Suit | 1687889 | POCKETS | 1667054 | none | ||
| 15140 | Boomer 8 Dog Bowl | 1240188 | none | 1219353 | none | ||
| 20423 | WONTON DOGTOR STRANGE onesie | 62085 | none | 41250 | none | ||
| 25407 | Minifig German Shepherd | 20835 | none | 0 | none | ||
| 27553 | Boston Terrier "Pepper" | 7058 | none | -13777 | none | ||
| 17769 | Gen 2 Dog Party Pattern | 1283 | PATTERN | -19552 | none | ||
| 20429 | WONTON Easter Bunny male onesie | 0 | HOOD | -20835 | none | ||
| 20417 | WONTON DESIGN 4 Year Celebration Limited Edition shirt (Pima cotton) | 0 | BUTTON UP | -20835 | none | ||
| 20441 | WONTON The Duck FISHERMAN HAT | -668232 | HAT | -689067 | none |