Fold 2 - Understanding why coefficient 6965206 was selected
Tag: HAIR CARE. HAIR CARE: FOR DRY HAIR
Selected Coefficient: 6965206
Taxonomy Path: 13.3.10.14
Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Hair Treatments
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 6965206 | 0.000002 | 13.3.10.14 | 14.10.3.13 (14*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Treatments | Yes |
| 45915287 | 0.000002 | 13.3.10.14.1 | 1.14.10.3.13 (38950081 + 14*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Masks | No |
| 84372329 | 0.000008 | 13.3.10.13.2 | 2.13.10.3.13 (2*79^4 + 13*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo & Conditioner Sets | No |
These are the training products that have the "HAIR CARE. HAIR CARE: FOR DRY HAIR" tag (processing sequence 1619). 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 |
|---|---|---|---|---|---|---|---|
| 12320 | Bain De Terre Supreme Honey & Marula Nourishing Shampoo & Conditioner 33.8oz Duo | 84372329 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo & Conditioner Sets | none | 77407123 | MOISTURIZING SHAMPOO AND CONDITIONER | |
| 12288 | Matrix Biolage Re-Hydrate Clay Mask 14.4 oz | 45915287 | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Masks | none | 38950081 | none | |
| 12309 | Joico K-Pak Revitaluxe Restorative Treatment 5.1 Oz | 45915287 | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Masks | none | 38950081 | none | |
| 12231 | Matrix Biolage Hydrasource Detangling Solution 13.5 oz | 6965206 | Health & Beauty > Personal Care > Hair Care > Hair Treatments | none | 0 | none | |
| 12291 | L'Oreal Absolut Repair Lipidium Reconstructing Blow-Dry Cream, 4.2oz | 6965206 | Health & Beauty > Personal Care > Hair Care > Hair Treatments | none | 0 | none |