Fold 0 - Understanding why coefficient 20835 was selected
Tag: DOGS
Selected Coefficient: 20835
Taxonomy Path: 2.2.3
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 9
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 | 8.000294 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | Yes | |
| 5166918 | 8.000294 | 2.2.3.9 | 9.3.2.2 (9*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 4023344 | 8.000294 | 2.2.3.7 | 7.3.2.2 (7*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 48209390 | 8.000581 | 2.2.26.1.1 | 1.1.26.2.2 (47458321 + 571787 + 26*83^2 + 2*83 + 2) | No | |
| 1240188 | 8.000581 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| 0 | 9.000000 | 0 | 0 (0) | No | |
| 7058 | 11.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No | |
| -668232 | 12.000000 | -82.82.13.1 | -1.13.82.82 (-(571787 + 13*83^2 + 82*83 + 82)) | No | |
| 189 | 12.000000 | 23.2 | 2.23 (2*83 + 23) | No |
These are the training products that have the "DOGS" tag (processing sequence 7085). 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 |
|---|---|---|---|---|---|---|---|
| 1773 | Bamboo Dog Brush | 48209390 | none | 48188555 | PETS | ||
| 7505 | 1" Puppy - Assorted | 5166918 | none | 5146083 | none | ||
| 25365 | Minifig German Shepherd v3 | 4023344 | none | 4002509 | none | ||
| 15140 | Boomer 8 Dog Bowl | 1240188 | none | 1219353 | none | ||
| 25407 | Minifig German Shepherd | 20835 | none | 0 | none | ||
| 27546 | Guilty | 7058 | none | -13777 | none | ||
| 27553 | Boston Terrier "Pepper" | 7058 | none | -13777 | none | ||
| 17769 | Gen 2 Dog Party Pattern | 189 | none | -20646 | 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 | -20835 | PETS | ||
| 20417 | WONTON DESIGN 4 Year Celebration Limited Edition shirt (Pima cotton) | 0 | BUTTON UP | -20835 | none | ||
| 20423 | WONTON DOGTOR STRANGE onesie | 0 | PAJAMA | -20835 | none | ||
| 20429 | WONTON Easter Bunny male onesie | 0 | HOOD | -20835 | none | ||
| 20441 | WONTON The Duck FISHERMAN HAT | -668232 | HAT | -689067 | none |