Fold 3 - Understanding why coefficient 822401784 was selected
Tag: TREATMENTS & MASKS
Selected Coefficient: 822401784
Taxonomy Path: 13.3.2.9.21
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 822401784 | 0.000000 | 13.3.2.9.21 | 21.9.2.3.13 (21*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | Yes |
These are the training products that have the "TREATMENTS & MASKS" tag (processing sequence 788). 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 |
|---|---|---|---|---|---|---|---|
| 16595 | COSRX - Galactomyces 95 Tone Balancing Essence | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 0 | none | |
| 16598 | COSRX - The Hyaluronic Acid 3 Serum | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 0 | none | |
| 16599 | COSRX - The Niacinamide 15 Serum | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 0 | none | |
| 16601 | COSRX - The Vitamin C 23 Serum | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 0 | none | |
| 16851 | COSRX - AHA 7 Whitehead Power Liquid | 822401784 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Serums | none | 0 | none |