Fold 3 - Understanding why coefficient 80938522 was selected
Tag: ECZEMA SOAP
Selected Coefficient: 80938522
Taxonomy Path: 13.3.10.13.3
Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 80938522 | 0.000198 | 13.3.10.13.3 | 3.13.10.3.13 (3*71^4 + 13*71^3 + 10*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | Yes |
| 226 | 0.000397 | 13.3 | 3.13 (3*71 + 13) | Health & Beauty > Personal Care | No |
These are the training products that have the "ECZEMA SOAP" tag (processing sequence 1092). 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 |
|---|---|---|---|---|---|---|---|
| 6912 | Emily Liquid Soap Soother - Shampoo & Natural Body Wash for Eczema with Chinese Herbs | 80938522 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 0 | none | |
| 6914 | 20% Pine Tar Soap with Tallow | 80938522 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 0 | none | |
| 6600 | Tallow Bar Soap with Zinc | 226 | Health & Beauty > Personal Care | none | -80938296 | none |