Fold 2 - Understanding why coefficient 55874 was selected
Tag: WATER BOTTLE
Selected Coefficient: 55874
Taxonomy Path: 15.9.8
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? |
|---|---|---|---|---|---|
| 55874 | 2.000000 | 15.9.8 | 8.9.15 (8*83^2 + 9*83 + 15) | 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 6323). 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 | 6255377 | none | ||
| 6678 | Nalgene 16oz Wide Mouth Sustain Water Bottle | 76134 | none | 20260 | none | ||
| 11600 | 10" x 4" Bottle Holder - Khaki | 55874 | none | 0 | none |