Fold 1 - Understanding why coefficient 23874980225 was selected
Tag: SIGMA MAKEUP
Selected Coefficient: 23874980225
Taxonomy Path: 13.3.2.6.5.6
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 23874980225 | 4.000000 | 13.3.2.6.5.6 | 6.5.6.2.3.13 (6*83^5 + 5*83^4 + 6*83^3 + 2*83^2 + 3*83 + 13) | Yes | |
| 677755726963 | 4.000000 | 13.3.2.6.5.6.2 | 2.6.5.6.2.3.13 (2*83^6 + 6*83^5 + 5*83^4 + 6*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| -3891582322 | 4.000000 | -0.0.0.0.82 | -82.0.0.0.0 (-(82*83^4)) | No | |
| 331072629392 | 6.000000 | 12.78.75.5.4.1.1 | 1.1.4.5.75.78.12 (326940373369 + 3939040643 + 4*83^4 + 5*83^3 + 75*83^2 + 78*83 + 12) | No |
These are the training products that have the "SIGMA MAKEUP" tag (processing sequence 6498). 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 | 677755726963 | none | 653880746738 | none | ||
| 8052 | Sigma Cor-De-Rosa Blush Palette | 331072629392 | BLUSH | 307197649167 | none | ||
| 8043 | Sigma Infinity Point Lipstick (Scarlet) | 23874980225 | none | 0 | none | ||
| 8042 | Sigma Infinity Point Lipstick (Red Velvet) | 23874980225 | none | 0 | none | ||
| 8058 | SIGMA SPICY- Eyeshadow Palette | 0 | EYELINER | -23874980225 | none | ||
| 8055 | SIGMA IVY- Eyeshadow Palette | 0 | EYELINER | -23874980225 | none | ||
| 8053 | Sigma Blush - Sunset Kiss | -3891582322 | EYELINER | -27766562547 | none |