Fold 1 - Understanding why coefficient 20835 was selected
Tag: PETS
Selected Coefficient: 20835
Taxonomy Path: 2.2.3
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 11
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 | 4.000584 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | Yes | |
| 5166918 | 4.000584 | 2.2.3.9 | 9.3.2.2 (9*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 4023344 | 4.000584 | 2.2.3.7 | 7.3.2.2 (7*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 4691577 | 4.000871 | 2.2.17.8 | 8.17.2.2 (8*83^3 + 17*83^2 + 2*83 + 2) | No | |
| 1240188 | 4.000871 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| 3610004 | 4.000871 | 2.2.26.6 | 6.26.2.2 (6*83^3 + 26*83^2 + 2*83 + 2) | No | |
| 8046520 | 4.000871 | 2.2.6.14 | 14.6.2.2 (14*83^3 + 6*83^2 + 2*83 + 2) | No | |
| 48160500 | 10.000000 | 82.76.18.1.1 | 1.1.18.76.82 (47458321 + 571787 + 18*83^2 + 76*83 + 82) | No | |
| -399825 | 10.000000 | -14.3.58 | -58.3.14 (-(58*83^2 + 3*83 + 14)) | No | |
| 0 | 10.000000 | 0 | 0 (0) | No | |
| -4371325655 | 10.000000 | -13.3.2.9.9.1 | -1.9.9.2.3.13 (-(3939040643 + 9*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13)) | No |
These are the training products that have the "PETS" tag (processing sequence 7157). 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 | 48160500 | CATS, DOGS | 48139665 | 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 | ||
| 16709 | Foldable Dog Pool | 20835 | none | 0 | none | ||
| 3136 | Native Neem Organic Neem Oil | 0 | HAIR, REUSABLE | -20835 | 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 | -4371325655 | WEDDING SIGN, BRIDAL SHOWER | -4371346490 | none |