Fold 3 - Understanding why coefficient 4043587740 was selected
Tag: FACE MISTS & SPRAYS
Selected Coefficient: 4043587740
Taxonomy Path: 0.0.53.8.17.2
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 4043587740 | 2.000000 | 0.0.53.8.17.2 | 2.17.8.53.0.0 (2*71^5 + 17*71^4 + 8*71^3 + 53*71^2) | Yes | |
| 4043688786 | 3.000000 | 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 | No |
These are the training products that have the "FACE MISTS & SPRAYS" tag (processing sequence 727). 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 | 101046 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none |
| 2217 | Moroccan Lavender Water Toning Spray - 4 oz | 4043688786 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Toners & Astringents > Toners | none | 101046 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | LAVENDER |
| 2216 | Moroccan Lavender Water Toning Spray - 1 liter (36 oz) | 4043587740 | SKIN CARE | 0 | none | ||
| 2219 | Moroccan Orange Blossom Water Toning Spray - 1 liter (35 oz) | 4043587740 | SKIN CARE | 0 | none | ||
| 2220 | Moroccan Rose Water Toning Spray - 1 liter (35 oz) | 4043587740 | SKIN CARE | 0 | none |