Fold 2 - Understanding why coefficient 4402334 was selected
Tag: TRS HOLIDAY
Selected Coefficient: 4402334
Taxonomy Path: 14.3.58.7
Taxonomy Name: Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 4402334 | 3.024242 | 14.3.58.7 | 7.58.3.14 (7*83^3 + 58*83^2 + 3*83 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | Yes |
| 441159 | 3.024387 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | No | |
| 383738894 | 3.036145 | 14.11.10.7.8 | 8.7.10.11.14 (8*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 431197215 | 3.036145 | 14.11.10.7.9 | 9.7.10.11.14 (9*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 10306196 | 6.000000 | 3.3.2.18 | 18.2.3.3 (18*83^3 + 2*83^2 + 3*83 + 3) | No | |
| 186 | 7.000000 | 20.2 | 2.20 (2*83 + 20) | No |
These are the training products that have the "TRS HOLIDAY" tag (processing sequence 6655). 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 |
|---|---|---|---|---|---|---|---|
| 15286 | Christmas Tree Serving Board White/Gold 12x9 | 431197215 | none | 426794881 | none | ||
| 15484 | Metz Marble Serving Board Gray/Gold 15x9.5x.5 | 383738894 | none | 379336560 | none | ||
| 15494 | Nutcracker March Ornament White/Gold 4" | 10306196 | none | 5903862 | none | ||
| 15442 | Galvanized Texas Ornament Silver 4" | 10306196 | none | 5903862 | none | ||
| 15152 | Royal Fir Ornament White/Red/Green 4" | 4402334 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 0 | none | |
| 15491 | Noelle Tree Ornament White/Green 4" | 4402334 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 0 | none | |
| 15483 | Merry Christmas Embroidered Pillow Dark Green/Gold 13x24 | 441159 | none | -3961175 | none | ||
| 15305 | Cross Marble Ornament White/Gold 3x4x.6 | 186 | none | -4402148 | none |