Fold 3 - Understanding why coefficient 45422248 was selected
Tag: HAIR CARE. HAIR CARE: CONDITIONER
Selected Coefficient: 45422248
Taxonomy Path: 13.3.10.13.1
Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners
Products with this tag: 6
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 45422248 | 0.000002 | 13.3.10.13.1 | 1.13.10.3.13 (38950081 + 13*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | Yes |
| 123322410 | 0.000002 | 13.3.10.13.3 | 3.13.10.3.13 (3*79^4 + 13*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | No |
| 84372329 | 0.000002 | 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 |
| 45915287 | 0.000010 | 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 |
These are the training products that have the "HAIR CARE. HAIR CARE: CONDITIONER" tag (processing sequence 1623). 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 |
|---|---|---|---|---|---|---|---|
| 12242 | Biolage 3 Butter Control System Shampoo For Unruly Hair 13.5 Fl Oz | 123322410 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 77900162 | none | |
| 12294 | Keratin Complex Smoothing Keratin Care Shampoo and Conditioner 13.5 oz Duo | 84372329 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo & Conditioner Sets | none | 38950081 | none | |
| 12263 | Amika Soulfood Nourishing Mask 8.5 Oz | 45915287 | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Masks | none | 493039 | none | |
| 12230 | Matrix Biolage Smooth Proof Conditioner 13.5 oz | 45422248 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | none | 0 | none | |
| 12292 | Kerastase Elixir Ultime Le Fondant Conditioner 6.8 oz | 45422248 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | none | 0 | none | |
| 12353 | Big Sexy Sulfate Free Volumizing Conditioner 33.8 oz | 45422248 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | none | 0 | none |