Fold 3 - Understanding why coefficient 84865368 was selected
Tag: HAIR
Selected Coefficient: 84865368
Taxonomy Path: 13.3.10.14.2
Taxonomy Name: Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Oils
Products with this tag: 8
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 84865368 | 3.000006 | 13.3.10.14.2 | 2.14.10.3.13 (2*79^4 + 14*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Oils | Yes |
| 238693536 | 3.000008 | 13.3.10.10.6 | 6.10.10.3.13 (6*79^4 + 10*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Sprays | No |
| 3020894 | 3.000008 | 13.3.10.6 | 6.10.3.13 (6*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Hair Loss Treatments | No |
| 123322410 | 3.000008 | 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 |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -187323707 | 7.000000 | -13.1.74.63.4 | -4.63.74.1.13 (-(4*79^4 + 63*79^3 + 74*79^2 + 79 + 13)) | No |
These are the training products that have the "HAIR" tag (processing sequence 4300). 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 |
|---|---|---|---|---|---|---|---|
| 1728 | Hair Fixing Spray for Hair Fiber | 238693536 | Health & Beauty > Personal Care > Hair Care > Hair Styling Products > Hair Sprays | none | 153828168 | none | |
| 16493 | GrandeHAIR Full Boost Shampoo Retail | 123322410 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 38457042 | none | |
| 1014 | Jamaican Black Castor Oil | 84865368 | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Oils | none | 0 | none | |
| 3136 | Native Neem Organic Neem Oil | 84865368 | Health & Beauty > Personal Care > Hair Care > Hair Treatments > Hair Oils | none | 0 | PETS | |
| 16490 | GrandeHAIR Retail | 3020894 | Health & Beauty > Personal Care > Hair Care > Hair Loss Treatments | none | -81844474 | none | |
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | 0 | EMBROIDERED, CAP | -84865368 | none | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 0 | EMBROIDERED, CAP | -84865368 | none | ||
| 3107 | Green Trading Organic Amla Capsules - 500mg | -187323707 | VITAMIN, NUTRITION, ANTIOXIDANT, NOURISHING | -272189075 | none |