Fold 3 - Understanding why coefficient 138042 was selected
Tag: CLEANSE
Selected Coefficient: 138042
Taxonomy Path: 13.3.20
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 138042 | 3.000145 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | Yes | |
| 145193 | 3.000145 | 26.6.21 | 21.6.26 (21*83^2 + 6*83 + 26) | No | |
| 150022277 | 3.000145 | 26.6.31.13.3 | 3.13.31.6.26 (3*83^4 + 13*83^3 + 31*83^2 + 6*83 + 26) | No | |
| 289910049 | 3.000145 | 13.3.2.9.6 | 6.9.2.3.13 (6*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 11152182453 | 4.000000 | 1.7.7.82.68.2 | 2.68.82.7.7.1 (2*83^5 + 68*83^4 + 82*83^3 + 7*83^2 + 7*83 + 1) | No |
These are the training products that have the "CLEANSE" tag (processing sequence 6937). 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 |
|---|---|---|---|---|---|---|---|
| 3155 | Nutra Organics Collagen Build with BodyBalance | 11152182453 | COLLAGEN, DIGESTION, POWDER, SKIN TONING | 11152044411 | BEAUTY | ||
| 27079 | Brightening Cleanser | 289910049 | none | 289772007 | none | ||
| 3101 | Global Soap Shampoo Bars | 150022277 | SOAP BAR | 149884235 | HAIR CARE, BABIES | ||
| 3098 | Global Soap Detox Skin Bar | 145193 | SOAP BAR | 7151 | SKINCARE, BABIES | ||
| 5707 | BATH SALTS TRIO<br>SALT POUCHES | 138042 | none | 0 | none |