Fold 3 - 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: 9
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? |
|---|---|---|---|---|---|
| 43943131 | 4.000166 | 13.3.10.10.1 | 1.10.10.3.13 (38950081 + 10*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Creams & Lotions | No |
| 45422248 | 4.000166 | 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 |
| 1048738 | 4.000166 | 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 |
| 6965206 | 4.000166 | 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 | No |
| 6990170 | 4.000641 | 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 |
| 0 | 7.000160 | 0 | 0 (0) | No | |
| 196678874 | 7.000160 | 0.0.72.3.5 | 5.3.72.0.0 (5*79^4 + 3*79^3 + 72*79^2) | No | |
| 25216 | 8.000000 | 15.3.4 | 4.3.15 (4*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Toiletry Bags | No |
| -197764900 | 8.000000 | -13.1.9.6.5 | -5.6.9.1.13 (-(5*79^4 + 6*79^3 + 9*79^2 + 79 + 13)) | No |
These are the training products that have the "HAIR CARE" tag (processing sequence 3850). 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 |
|---|---|---|---|---|---|---|---|
| 3071 | Absolute Essential Argan Oil (Organic) | 196678874 | SCARS, ACNE, CRADLE CAP, INFANTS, MASSAGE | 195630136 | 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 | |
| 3597 | L'Oreal Definition Hair Cream French Froisse Tecni ART French Girl 150ml | 43943131 | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Creams & Lotions | none | 42894393 | none | |
| 5801 | Beard balm for Your Natural Beard | 6990170 | Health & Beauty > Personal Care > Shaving & Grooming > Beard Balms | none | 5941432 | none | |
| 3618 | TRESemme Botanique Nourish & Replenish Hydrating Mist Coconut Milk Aloe Vera 125 | 6965206 | Health & Beauty > Personal Care > Hair Care > Hair Treatments | none | 5916468 | 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 | |
| 16492 | GrandeHAIR Full Boost Conditioner Retail | 0 | CONDITIONER | -1048738 | none | ||
| 3063 | Dr Mercola Black Seed Oil (Organic) | -197764900 | DIGESTIVE, DEPRESSION, DETOX | -198813638 | MENOPAUSE |