Fold 3 - Understanding why coefficient 1001784864 was selected
Tag: PHOTOZYME RETAIL
Selected Coefficient: 1001784864
Taxonomy Path: 13.3.2.9.21
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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 | 0.000000 | 13.3.2.9.21 | 21.9.2.3.13 (21*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | Yes | |
| 100076765 | 0.000000 | 13.3.2.9.2 | 2.9.2.3.13 (2*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 479743333 | 0.000000 | 13.3.2.9.10 | 10.9.2.3.13 (10*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 717034938 | 0.000000 | 13.3.2.9.15 | 15.9.2.3.13 (15*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 906868222 | 0.000000 | 13.3.2.9.19 | 19.9.2.3.13 (19*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 954326543 | 0.000000 | 13.3.2.9.20 | 20.9.2.3.13 (20*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No |
These are the training products that have the "PHOTOZYME RETAIL" tag (processing sequence 6482). 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 |
|---|---|---|---|---|---|---|---|
| 16475 | Photozyme Vitamin C+E Ferulic Acid Serum with DNA Retail | 1001784864 | none | 0 | none | ||
| 16477 | Photozyme GFS PLUS Night Serum with .05% Retinol Retail | 1001784864 | none | 0 | none | ||
| 16644 | Photozyme Ultra Rich DNA Facial Moisturizer Retail | 954326543 | none | -47458321 | none | ||
| 16520 | Photozyme iQuad Total Eye Therapy Retail | 906868222 | none | -94916642 | none | ||
| 16473 | Photozyme BEYONDBloc Tinted Sunscreen SPF 30 - Retail | 717034938 | none | -284749926 | none | ||
| 16639 | Photozyme Omega 36 DNA Body Complex Retail | 479743333 | none | -522041531 | none | ||
| 16643 | Photozyme MD Vitamin C+ E Ferulic Acid Lotion with DNA Repair | 100076765 | none | -901708099 | NEW PRODUCT |