Fold 1 - Understanding why coefficient 783451703 was selected
Tag: ELIZABETH ARDEN
Selected Coefficient: 783451703
Taxonomy Path: 13.3.2.9.20
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 783451703 | 0.000002 | 13.3.2.9.20 | 20.9.2.3.13 (20*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | Yes |
| 159757368 | 0.000004 | 13.3.2.8.4 | 4.8.2.3.13 (4*79^4 + 8*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Perfumes & Colognes > Eaux De Toilette | No |
These are the training products that have the "ELIZABETH ARDEN" tag (processing sequence 1276). 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 |
|---|---|---|---|---|---|---|---|
| 3569 | Elizabeth Arden Ceramide Lift And Firm Day Lotion 50ml SPF30 | 783451703 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | none | 0 | none | |
| 3573 | Elizabeth Arden visible difference skin balancing lotion Combination 49.5ml Imperfect Box | 783451703 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | none | 0 | none | |
| 3570 | Elizabeth Arden Green Tea Tropical Eau de Toilette Spray 100ml UNBOXED | 159757368 | Health & Beauty > Personal Care > Cosmetics > Perfumes & Colognes > Eaux De Toilette | none | -623694335 | LADIES FRAGRANCES |