Fold 0 - Understanding why coefficient 6351834169 was selected
Tag: MAKEUP
Selected Coefficient: 6351834169
Taxonomy Path: 13.3.2.6.5.2
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lip Gloss
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? |
|---|---|---|---|---|---|
| 6351834169 | 1.000000 | 13.3.2.6.5.2 | 2.5.6.2.3.13 (2*79^5 + 5*79^4 + 6*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lip Gloss | Yes |
| 504834970807 | 1.000000 | 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 |
| 15544053285 | 1.000000 | 13.3.2.6.4.5 | 5.4.6.2.3.13 (5*79^5 + 4*79^4 + 6*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Makeup > Face Makeup > Highlighters & Luminizers | No |
| -221626453929 | 5.000000 | -0.0.0.1.2.72 | -72.2.1.0.0.0 (-(72*79^5 + 2*79^4 + 493039)) | No |
These are the training products that have the "MAKEUP" tag (processing sequence 4015). 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 |
|---|---|---|---|---|---|---|---|
| 8048 | Beauty Bakerie - I Like To Chai Matte Lip Whip ٩٠ر.ق | 504834970807 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks > Liquid Lipsticks | none | 498483136638 | none | |
| 8049 | Beauty Bakerie - Mon Cheri Matte Lip Whip ٩٠ر.ق | 504834970807 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lipsticks > Liquid Lipsticks | none | 498483136638 | none | |
| 16489 | GrandeGLOW - Plumping Liquid Highlighter - Retail | 15544053285 | Health & Beauty > Personal Care > Cosmetics > Makeup > Face Makeup > Highlighters & Luminizers | none | 9192219116 | none | |
| 14073 | Universal Gloss - Roxy | 6351834169 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lip Gloss | none | 0 | none | |
| 14352 | Universal Gloss - Rain | 6351834169 | Health & Beauty > Personal Care > Cosmetics > Makeup > Lip Makeup > Lip Gloss | none | 0 | none | |
| 5747 | Wet n Wild Angled Liner Brush | -221626453929 | BRUSH | -227978288098 | none |