Fold 1 - Understanding why coefficient 7008787 was selected
Tag: CAP
Selected Coefficient: 7008787
Taxonomy Path: 65.1.17.14
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 7008787 | 3.000000 | 65.1.17.14 | 14.17.1.65 (14*79^3 + 17*79^2 + 79 + 65) | Yes | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 19 | 4.000000 | 19 | 19 (19) | Product Add-Ons | No |
| 112497 | 4.000000 | 1.2.18 | 18.2.1 (18*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Headwear | No |
These are the training products that have the "CAP" tag (processing sequence 3645). 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 |
|---|---|---|---|---|---|---|---|
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | 7008787 | EMBROIDERED | 0 | none | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 7008787 | EMBROIDERED | 0 | none | ||
| 20445 | WONTON The Frog FISHERMAN HAT | 112497 | Apparel & Accessories > Clothing Accessories > Headwear | none | -6896290 | none | |
| 19834 | Extra Dropper | 19 | Product Add-Ons | none | -7008768 | MERCHANDISE | |
| 7418 | 1.5" Graduation Cap & Diploma | 0 | TYPE_ROYAL ICING | -7008787 | none |