Fold 1 - Understanding why coefficient -333583360 was selected
Tag: ALLERGY
Selected Coefficient: -333583360
Taxonomy Path: -13.3.2.9.13
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| -333583360 | 1.000000 | -13.3.2.9.13 | -13.9.2.3.13 (-(13*71^4 + 9*71^3 + 2*71^2 + 3*71 + 13)) | Yes | |
| 131293 | 2.000000 | 14.3.26 | 26.3.14 (26*71^2 + 3*71 + 14) | Home & Garden > Decor > Door Mats | No |
These are the training products that have the "ALLERGY" tag (processing sequence 411). 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 |
|---|---|---|---|---|---|---|---|
| 1946 | Five Different Allergy Awareness Design Doormats | 131293 | Home & Garden > Decor > Door Mats | none | 333714653 | none | |
| 2969 | Barrier Gold Kānuka Essential Oil (Organic) | -333583360 | ORGANIC, ACNE | 0 | AROMATHERAPY, ARTHRITIS, BEACH, ECZEMA | ||
| 3088 | Natural Solutions 100% Pure East Cape Mānuka Oil | -333583360 | ORGANIC, ACNE | 0 | BEACH, ECZEMA |