Fold 1 - Understanding why coefficient 18660059765 was selected
Tag: SIGMA MAKEUP
Selected Coefficient: 18660059765
Taxonomy Path: 13.3.2.6.5.6
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 18660059765 | 0.000000 | 13.3.2.6.5.6 | 6.5.6.2.3.13 (6*79^5 + 5*79^4 + 6*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks | Yes |
| 504834970807 | 0.000000 | 13.3.2.6.5.6.2 | 2.6.5.6.2.3.13 (2*79^6 + 6*79^5 + 5*79^4 + 6*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks > Liquid Lipsticks | No |
| 249361389528 | 0.000000 | 13.3.2.6.3.2.1 | 1.2.3.6.2.3.13 (243087455521 + 2*79^5 + 3*79^4 + 6*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes | No |
These are the training products that have the "SIGMA MAKEUP" tag (processing sequence 3199). 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 |
|---|---|---|---|---|---|---|---|
| 8056 | Sigma Liquid Lipstick (Fable) سيجما: روج سائل مطفي -فابل | 504834970807 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks > Liquid Lipsticks | none | 486174911042 | BRUSH | |
| 8058 | SIGMA SPICY- Eyeshadow Palette | 249361389528 | Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes | none | 230701329763 | BRUSH | |
| 8042 | Sigma Infinity Point Lipstick (Red Velvet) | 18660059765 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks | none | 0 | none | |
| 8043 | Sigma Infinity Point Lipstick (Scarlet) | 18660059765 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks | none | 0 | none |