Fold 0 - Understanding why coefficient 249361389528 was selected
Tag: BRUSH
Selected Coefficient: 249361389528
Taxonomy Path: 13.3.2.6.3.2.1
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes
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? |
|---|---|---|---|---|---|
| 249361389528 | 0.000162 | 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 | Yes |
| 504834970807 | 0.000162 | 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 |
| 27734935599 | 0.000168 | 13.3.2.5.1.9 | 9.1.5.2.3.13 (9*79^5 + 38950081 + 5*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Cosmetic Tools > Makeup Tools > Makeup Brushes | No |
| 6004092 | 0.000801 | 13.3.14.12 | 12.14.3.13 (12*79^3 + 14*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Shaving & Grooming > Shaving Kits | No |
These are the training products that have the "BRUSH" tag (processing sequence 3027). 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 | 255473581279 | none | |
| 8054 | SIGMA HAZY- Eyeshadow Palette | 249361389528 | Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes | none | 0 | none | |
| 8055 | SIGMA IVY- Eyeshadow Palette | 249361389528 | Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes | none | 0 | none | |
| 8058 | SIGMA SPICY- Eyeshadow Palette | 249361389528 | Health & Beauty > Personal Care > Cosmetics > Makeup > Eye Makeup > Eye Shadows > Eye Shadow Palettes | none | 0 | none | |
| 5747 | Wet n Wild Angled Liner Brush | 27734935599 | Health & Beauty > Personal Care > Cosmetics > Cosmetic Tools > Makeup Tools > Makeup Brushes | none | -221626453929 | MAKEUP | |
| 987 | Deeply Rooted Beard Oil Kit | 6004092 | Health & Beauty > Personal Care > Shaving & Grooming > Shaving Kits | none | -249355385436 | none |