Fold 4 - Understanding why coefficient 48209390 was selected
Tag: PETS
Selected Coefficient: 48209390
Taxonomy Path: 2.2.26.1.1
Taxonomy Name:
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 238042674 | 5.000582 | 2.2.26.1.5 | 5.1.26.2.2 (5*83^4 + 571787 + 26*83^2 + 2*83 + 2) | No | |
| 48209390 | 5.000582 | 2.2.26.1.1 | 1.1.26.2.2 (47458321 + 571787 + 26*83^2 + 2*83 + 2) | Yes | |
| 3610004 | 5.000584 | 2.2.26.6 | 6.26.2.2 (6*83^3 + 26*83^2 + 2*83 + 2) | No | |
| 5166918 | 5.000728 | 2.2.3.9 | 9.3.2.2 (9*83^3 + 3*83^2 + 2*83 + 2) | No | |
| 20835 | 5.000728 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | No | |
| 1240188 | 5.000871 | 2.2.14.2 | 2.14.2.2 (2*83^3 + 14*83^2 + 2*83 + 2) | No | |
| 4691577 | 5.000871 | 2.2.17.8 | 8.17.2.2 (8*83^3 + 17*83^2 + 2*83 + 2) | No | |
| -46886534 | 10.000002 | -0.0.0.82 | -82.0.0.0 (-(82*83^3)) | No | |
| 0 | 10.000002 | 0 | 0 (0) | No | |
| 241282 | 11.000000 | 1.2.35 | 35.2.1 (35*83^2 + 2*83 + 1) | No | |
| -399825 | 11.000000 | -14.3.58 | -58.3.14 (-(58*83^2 + 3*83 + 14)) | No | |
| -4371325924 | 11.000000 | -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 |
These are the training products that have the "PETS" tag (processing sequence 7052). 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 | 189833284 | none | ||
| 1773 | Bamboo Dog Brush | 48209390 | none | 0 | none | ||
| 5802 | Dog Treats All Natural - Petphoria | 5166918 | none | -43042472 | none | ||
| 9074 | Navy QALO Leash & Collar Set | 4691577 | none | -43517813 | none | ||
| 16546 | Rechargeable Pet’s Nail Grinder | 3610004 | none | -44599386 | none | ||
| 16716 | Intelligent Pet Food Bowl | 1240188 | none | -46969202 | none | ||
| 25548 | My Human And I Talk Shit About You - Removable Patch | 241282 | none | -47968108 | none | ||
| 16709 | Foldable Dog Pool | 20835 | none | -48188555 | 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 | -48209390 | none | ||
| 29477 | Dog Wedding Cake Topper Rare Breeds Custom Couple Silhouette Dog Pet Wedding Cake Topper | -399825 | CAKE TOPPER GLITTER, DECORATIONS | -48609215 | none | ||
| 3136 | Native Neem Organic Neem Oil | -46886534 | HAIR | -95095924 | REUSABLE | ||
| 29480 | Dog Drink Wedding Sign Bar Menu | -4371325924 | WEDDING SIGN, BRIDAL SHOWER, MODERN DECORATION | -4419535314 | none |