Fold 1 - Understanding why coefficient 1001784864 was selected
Tag: SERUM
Selected Coefficient: 1001784864
Taxonomy Path: 13.3.2.9.21
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 1001784864 | 1.000145 | 13.3.2.9.21 | 21.9.2.3.13 (21*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | Yes | |
| 906868222 | 1.000145 | 13.3.2.9.19 | 19.9.2.3.13 (19*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 102990812 | 1.000581 | 13.3.10.14.2 | 2.14.10.3.13 (2*83^4 + 14*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 1694694 | 5.000000 | 0.0.80.2 | 2.80.0.0 (2*83^3 + 80*83^2) | No |
These are the training products that have the "SERUM" tag (processing sequence 4657). 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 |
|---|---|---|---|---|---|---|---|
| 3153 | Living Nature Advanced Renewal Night Serum | 1001784864 | none | 0 | FACE | ||
| 14123 | Luxury Serum Apple Green Tea | 1001784864 | none | 0 | none | ||
| 14130 | Luxury Serum Rose & Rosehip | 1001784864 | none | 0 | none | ||
| 26803 | Tone Up Niacinamide Firming Eye Serum | 906868222 | none | -94916642 | none | ||
| 3071 | Absolute Essential Argan Oil (Organic) | 102990812 | none | -898794052 | SCARS, CARRIER OIL, CELLULITE, CRADLE CAP, INFANTS, HAIR CARE | ||
| 2935 | Absolute Essential Virgin Wheatgerm Oil (Non-GMO) | 1694694 | SKIN CARE INGREDIENTS | -1000090170 | CARRIER OIL |