Fold 3 - Understanding why coefficient 262 was selected
Tag: SOAP
Selected Coefficient: 262
Taxonomy Path: 13.3
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 262 | 1.000435 | 13.3 | 3.13 (3*83 + 13) | Yes | |
| 76041 | 1.000728 | 13.3.11 | 11.3.13 (11*83^2 + 3*83 + 13) | No | |
| 6365698 | 1.000728 | 13.3.11.11 | 11.11.3.13 (11*83^3 + 11*83^2 + 3*83 + 13) | No | |
| 48044148 | 1.000871 | 13.3.2.1.1 | 1.1.2.3.13 (47458321 + 571787 + 2*83^2 + 3*83 + 13) | No | |
| 146556754 | 7.000000 | 2.2.26.7.3 | 3.7.26.2.2 (3*83^4 + 7*83^3 + 26*83^2 + 2*83 + 2) | No |
These are the training products that have the "SOAP" tag (processing sequence 4561). 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 |
|---|---|---|---|---|---|---|---|
| 27254 | Dirty Dawg Soap | 146556754 | none | 146556492 | none | ||
| 33508 | Goats Milk Soap | 48044148 | none | 48043886 | none | ||
| 33385 | Bubbles & Berries Massage Soap | 6365698 | none | 6365436 | none | ||
| 28034 | Oatmeal and Lavender Tea Bath | 76041 | none | 75779 | none | ||
| 33384 | Bubbles & Berries Oval Soap | 262 | none | 0 | none | ||
| 25676 | Bar Soap: Grapefruit Patchouli | 262 | none | 0 | none | ||
| 24797 | Sea to Summit Wilderness Wash 100ml | 262 | none | 0 | none | ||
| 33397 | Rose Bouquet Goats Milk Soap | 262 | none | 0 | none |