Fold 4 - Understanding why coefficient 23 was selected
Tag: NUGGETS NOVELTIES
Selected Coefficient: 23
Taxonomy Path: 23
Taxonomy Name: Sporting Goods
Products with this tag: 4
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 23 | 2.000000 | 23 | 23 (23) | Sporting Goods | Yes |
| -1491129 | 3.000000 | -58.56.11.4 | -4.11.56.58 (-(4*71^3 + 11*71^2 + 56*71 + 58)) | No | |
| 121127 | 3.000000 | 1.2.24 | 24.2.1 (24*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | No |
These are the training products that have the "NUGGETS NOVELTIES" tag (processing sequence 1050). 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 |
|---|---|---|---|---|---|---|---|
| 1132 | 2023 NBA Playoffs Western Conference Round 1 Dueling Lapel Pin | 121127 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 121104 | none | |
| 685 | Nuggets Big Foam Fan Chain - Primary Logo | 23 | Sporting Goods | none | 0 | none | |
| 1212 | Nuggets Foam Fan Chain - Pick Axe / Ball Logo | 23 | Sporting Goods | none | 0 | none | |
| 1203 | Denver Nuggets Rocky Sleep Squad | -1491129 | CYBER MONDAY | -1491152 | none |