Fold 0 - Understanding why coefficient 4043688786 was selected
Tag: FACE MISTS & SPRAYS
Selected Coefficient: 4043688786
Taxonomy Path: 13.3.2.9.17.2
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners
Products with this tag: 3
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 4043688786 | 0.000000 | 13.3.2.9.17.2 | 2.17.9.2.3.13 (2*71^5 + 17*71^4 + 9*71^3 + 2*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners | Yes |
These are the training products that have the "FACE MISTS & SPRAYS" tag (processing sequence 731). 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 |
|---|---|---|---|---|---|---|---|
| 2210 | Moroccan Fleur d'Oranger Toning Spray - 4 oz | 4043688786 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners | none | 0 | none | |
| 2217 | Moroccan Lavender Water Toning Spray - 4 oz | 4043688786 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners | none | 0 | none | |
| 2220 | Moroccan Rose Water Toning Spray - 1 liter (35 oz) | 4043688786 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners | none | 0 | none |