Fold 0 - Understanding why coefficient 1048738 was selected
Tag: HAIR CARE
Selected Coefficient: 1048738
Taxonomy Path: 13.3.10.2
Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Hair Color
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 1048738 | 4.012823 | 13.3.10.2 | 2.10.3.13 (2*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Color | Yes |
| 45422248 | 4.012823 | 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 | No |
| 160793374 | 4.012823 | 13.3.10.10.4 | 4.10.10.3.13 (4*79^4 + 10*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Pomades & Waxes | No |
| 6990170 | 4.013139 | 13.3.14.14 | 14.14.3.13 (14*79^3 + 14*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Shaving & Grooming > Beard Balms | No |
| 197764900 | 4.050633 | 13.1.9.6.5 | 5.6.9.1.13 (5*79^4 + 6*79^3 + 9*79^2 + 79 + 13) | Health & Beauty > Health Care > Fitness & Nutrition > Vitamins & Supplements > Herbal Supplements | No |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| 25216 | 8.000000 | 15.3.4 | 4.3.15 (4*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Toiletry Bags | No |
These are the training products that have the "HAIR CARE" tag (processing sequence 3878). 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 |
|---|---|---|---|---|---|---|---|
| 3063 | Dr Mercola Black Seed Oil (Organic) | 197764900 | Health & Beauty > Health Care > Fitness & Nutrition > Vitamins & Supplements > Herbal Supplements | ALLERGIES, IMMUNITY, ADAPTOGENIC, DEPRESSION, DETOX, HORMONE BALANCE | 196716162 | none | |
| 3635 | Woodys For Men Headwax 56.7g Natural Beeswax | 160793374 | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Pomades & Waxes | none | 159744636 | none | |
| 3634 | Wella Enrich Moisturising Conditioner for Fine to Normal Hair, 200 ml | 45422248 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | none | 44373510 | none | |
| 5801 | Beard balm for Your Natural Beard | 6990170 | Health & Beauty > Personal Care > Shaving & Grooming > Beard Balms | none | 5941432 | none | |
| 6466 | Root Touch-up Powder | 1048738 | Health & Beauty > Personal Care > Hair Care > Hair Color | none | 0 | none | |
| 6447 | Pretty in Pink Satin Dust Bag | 25216 | Luggage & Bags > Cosmetic & Toiletry Bags > Toiletry Bags | none | -1023522 | none | |
| 4939 | Redecker 'Whale' Children's Nail Brush | 0 | PERTH | -1048738 | none | ||
| 3071 | Absolute Essential Argan Oil (Organic) | 0 | CARRIER OIL, ANTI-INFLAMMATORY, ECZEMA | -1048738 | none | ||
| 3097 | Global Soap Conditioner Bars | 0 | CONDITIONER | -1048738 | none |