Fold 0 - Understanding why coefficient 138042 was selected
Tag: BATH & BODY
Selected Coefficient: 138042
Taxonomy Path: 13.3.20
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 138042 | 1.000435 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | Yes | |
| 585827 | 1.000728 | 13.3.2.1 | 1.2.3.13 (571787 + 2*83^2 + 3*83 + 13) | No | |
| 1001784864 | 1.000728 | 13.3.2.9.21 | 21.9.2.3.13 (21*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 76041 | 1.000871 | 13.3.11 | 11.3.13 (11*83^2 + 3*83 + 13) | No | |
| 5 | 7.000000 | 5 | 5 (5) | No |
These are the training products that have the "BATH & BODY" tag (processing sequence 4491). 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 |
|---|---|---|---|---|---|---|---|
| 5814 | Natural Facial Serum - Moroccan Specialty | 1001784864 | none | 1001646822 | none | ||
| 10337 | Coastal Christmas Body Butter | 585827 | none | 447785 | none | ||
| 18076 | Lavender Mani Gift Set | 138042 | none | 0 | none | ||
| 18180 | Lavender Pedi Gift Set | 138042 | none | 0 | none | ||
| 18213 | Classic Lavender Combo | 138042 | none | 0 | none | ||
| 9293 | THE HAND TREATMENT KIT | 138042 | none | 0 | none | ||
| 1706 | Bath Salts - Scented with Essential Oils | 76041 | none | -62001 | none | ||
| 18196 | Bath and Body Bundle | 5 | none | -138037 | none |