Fold 3 - Understanding why coefficient 23 was selected
Tag: NUGGETS NOVELTIES
Selected Coefficient: 23
Taxonomy Path: 23
Taxonomy Name: Sporting Goods
Products with this tag: 5
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 |
| 121127 | 4.000000 | 1.2.24 | 24.2.1 (24*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | No |
| 1437764 | 4.000000 | 14.15.1.4 | 4.1.15.14 (4*71^3 + 5041 + 15*71 + 14) | Home & Garden > Linens & Bedding > Bedding > Blankets | No |
These are the training products that have the "NUGGETS NOVELTIES" tag (processing sequence 1063). 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 |
|---|---|---|---|---|---|---|---|
| 1203 | Denver Nuggets Rocky Sleep Squad | 1437764 | Home & Garden > Linens & Bedding > Bedding > Blankets | none | 1437741 | none | |
| 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 | |
| 1220 | Nuggets Maxie The Miner Pennant | 23 | Sporting Goods | none | 0 | none |