Fold 0 - Understanding why coefficient 20835 was selected
Tag: PETS
Selected Coefficient: 20835
Taxonomy Path: 2.2.3
Taxonomy Name:
Products with this tag: 13
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 | 5.000729 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | Yes | |
| 5166918 | 5.000729 | 2.2.3.9 | 9.3.2.2 (9*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 4023344 | 5.000729 | 2.2.3.7 | 7.3.2.2 (7*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 238042674 | 5.000873 | 2.2.26.1.5 | 5.1.26.2.2 (5*83^4 + 571787 + 26*83^2 + 2*83 + 2) | No | |
| 3610004 | 5.000873 | 2.2.26.6 | 6.26.2.2 (6*83^3 + 26*83^2 + 2*83 + 2) | No | |
| 8046520 | 5.001016 | 2.2.6.14 | 14.6.2.2 (14*83^3 + 6*83^2 + 2*83 + 2) | No | |
| 4691577 | 5.001016 | 2.2.17.8 | 8.17.2.2 (8*83^3 + 17*83^2 + 2*83 + 2) | No | |
| 1240188 | 5.001016 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| -399825 | 12.000000 | -14.3.58 | -58.3.14 (-(58*83^2 + 3*83 + 14)) | No | |
| 48188555 | 12.000000 | 0.0.23.1.1 | 1.1.23.0.0 (47458321 + 571787 + 23*83^2) | No | |
| 241282 | 12.000000 | 1.2.35 | 35.2.1 (35*83^2 + 2*83 + 1) | No | |
| -4371325924 | 12.000000 | -33.6.2.9.9.1 | -1.9.9.2.6.33 (-(3939040643 + 9*83^4 + 9*83^3 + 2*83^2 + 6*83 + 33)) | No | |
| -20835 | 12.000000 | -2.2.3 | -3.2.2 (-(3*83^2 + 2*83 + 2)) | No |
These are the training products that have the "PETS" tag (processing sequence 7089). 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 |
|---|---|---|---|---|---|---|---|
| 16552 | SOFT SILICONE DOG PAW CLEANER CUP | 238042674 | none | 238021839 | none | ||
| 1773 | Bamboo Dog Brush | 48188555 | DOGS | 48167720 | none | ||
| 10711 | Sport Dog Shoes | 8046520 | none | 8025685 | none | ||
| 5802 | Dog Treats All Natural - Petphoria | 5166918 | none | 5146083 | none | ||
| 9074 | Navy QALO Leash & Collar Set | 4691577 | none | 4670742 | none | ||
| 16549 | Rolling Ball - Smart Interactive Pet Ball | 4023344 | none | 4002509 | none | ||
| 16546 | Rechargeable Pet’s Nail Grinder | 3610004 | none | 3589169 | none | ||
| 16716 | Intelligent Pet Food Bowl | 1240188 | none | 1219353 | none | ||
| 25548 | My Human And I Talk Shit About You - Removable Patch | 241282 | none | 220447 | none | ||
| 16709 | Foldable Dog Pool | 20835 | none | 0 | none | ||
| 29479 | Pet Wedding Stir Sticks Dog or Cat Wedding or Bridal Shower Stir Sticks, Personalized Bar Decor Wedding Party Shower Drink Swizzle | -20835 | MODERN DECORATION, DOGS | -41670 | none | ||
| 29477 | Dog Wedding Cake Topper Rare Breeds Custom Couple Silhouette Dog Pet Wedding Cake Topper | -399825 | CAKE TOPPER GLITTER, DECORATIONS | -420660 | none | ||
| 29480 | Dog Drink Wedding Sign Bar Menu | -4371325924 | WEDDING SIGN, BRIDAL SHOWER, MODERN DECORATION | -4371346759 | none |