Fold 1 - Understanding why coefficient 197278893 was selected
Tag: COFFEE MUG
Selected Coefficient: 197278893
Taxonomy Path: 14.11.10.5.5
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 197278893 | 2.000160 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | Yes |
| 314129136 | 2.000160 | 14.11.10.5.8 | 8.5.10.11.14 (8*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | No |
| 7124 | 2.000481 | 14.11.1 | 1.11.14 (6241 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Barware | No |
| -116850243 | 4.000000 | -0.0.0.0.3 | -3.0.0.0.0 (-(3*79^4)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "COFFEE MUG" tag (processing sequence 2289). 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 |
|---|---|---|---|---|---|---|---|
| 18299 | Grape Cat 30 oz. Travel Mug | 314129136 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | none | 116850243 | TRAVEL MUG | |
| 381 | Matte Black Magic Mug | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 18310 | Vegan Circle Black Coffee Mug | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 15148 | Rambler 24OZ Mug | 7124 | Home & Garden > Kitchen & Dining > Barware | none | -197271769 | TRAVEL MUG | |
| 279 | Alycia Mikay Mug | 0 | MUGS | -197278893 | none | ||
| 5820 | Magic Fortnite Mugs, Heat Sensitive (4 Variants) | -116850243 | CUPS | -314129136 | none |