Fold 0 - Understanding why coefficient 202769254 was selected
Tag: FIRST AID
Selected Coefficient: 202769254
Taxonomy Path: 70.0.38.69.7
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 202769254 | 1.000000 | 70.0.38.69.7 | 7.69.38.0.70 (7*71^4 + 69*71^3 + 38*71^2 + 70) | Yes | |
| 332161723 | 1.000000 | 9.2.4.5.13 | 13.5.4.2.9 (13*71^4 + 5*71^3 + 4*71^2 + 2*71 + 9) | No |
These are the training products that have the "FIRST AID" tag (processing sequence 759). 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 |
|---|---|---|---|---|---|---|---|
| 3080 | Absolute Essential Bergamot Essential Oil (Organic) | 332161723 | ORGANIC, DEODORANT, ANTISEPTIC, BALANCE, BATH, DIFFUSION, DIGESTION | 129392469 | none | ||
| 2969 | Barrier Gold Kānuka Essential Oil (Organic) | 202769254 | ORGANIC, ACNE, ALLERGY, ANTISEPTIC, ARTHRITIS, BEACH | 0 | HOUSEHOLD INGREDIENTS, TOPICAL REMEDIES |