Fold 1 - Understanding why coefficient 10306196 was selected
Tag: TRS HOLIDAY
Selected Coefficient: 10306196
Taxonomy Path: 3.3.2.18
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 10306196 | 5.000000 | 3.3.2.18 | 18.2.3.3 (18*83^3 + 2*83^2 + 3*83 + 3) | Yes | |
| 383738894 | 5.024096 | 14.11.10.7.8 | 8.7.10.11.14 (8*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 431197215 | 5.024096 | 14.11.10.7.9 | 9.7.10.11.14 (9*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 441159 | 5.036145 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | No | |
| 97211938 | 5.036145 | 14.15.1.4.2 | 2.4.1.15.14 (2*83^4 + 4*83^3 + 6889 + 15*83 + 14) | No | |
| 186 | 8.000000 | 20.2 | 2.20 (2*83 + 20) | No |
These are the training products that have the "TRS HOLIDAY" tag (processing sequence 5277). 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 |
|---|---|---|---|---|---|---|---|
| 15485 | Metz Marble Serving Board White/Gold 15x9.5 x.5 | 431197215 | none | 420891019 | none | ||
| 15484 | Metz Marble Serving Board Gray/Gold 15x9.5x.5 | 383738894 | none | 373432698 | none | ||
| 15136 | Bengal Throw White/Orange/Black 50x60 | 97211938 | none | 86905742 | none | ||
| 15494 | Nutcracker March Ornament White/Gold 4" | 10306196 | none | 0 | none | ||
| 15189 | Texas Embossed Ornament White 4" | 10306196 | none | 0 | none | ||
| 15442 | Galvanized Texas Ornament Silver 4" | 10306196 | none | 0 | none | ||
| 15130 | Angel Ornament White/Almond/Gray 4" | 10306196 | none | 0 | none | ||
| 15483 | Merry Christmas Embroidered Pillow Dark Green/Gold 13x24 | 441159 | none | -9865037 | none | ||
| 15305 | Cross Marble Ornament White/Gold 3x4x.6 | 186 | none | -10306010 | none |