Fold 1 - Understanding why coefficient 34943 was selected
Tag: WATER BOTTLE
Selected Coefficient: 34943
Taxonomy Path: 0.6.5
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 34943 | 2.000000 | 0.6.5 | 5.6.0 (5*83^2 + 6*83) | Yes | |
| 76134 | 2.000000 | 23.4.11 | 11.4.23 (11*83^2 + 4*83 + 23) | No | |
| 6311251 | 2.000000 | 14.11.3.11 | 11.3.11.14 (11*83^3 + 3*83^2 + 11*83 + 14) | No |
These are the training products that have the "WATER BOTTLE" tag (processing sequence 6321). 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 |
|---|---|---|---|---|---|---|---|
| 6580 | 800ml Transparent Mist Bottle with Colored Clip | 6311251 | none | 6276308 | none | ||
| 6678 | Nalgene 16oz Wide Mouth Sustain Water Bottle | 76134 | none | 41191 | none | ||
| 11600 | 10" x 4" Bottle Holder - Khaki | 34943 | BAG | 0 | none |