Fold 1 - Understanding why coefficient 101046 was selected
Tag: CLEANSE
Selected Coefficient: 101046
Taxonomy Path: 13.3.20
Taxonomy Name: Health & Beauty > Personal Care > Personal Care Gift Sets & Kits
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 101046 | 2.014085 | 13.3.20 | 20.3.13 (20*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | Yes |
| 80938664 | 2.014085 | 13.5.10.13.3 | 3.13.10.5.13 (3*71^4 + 13*71^3 + 10*71^2 + 5*71 + 13) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 162 | 3.000000 | 20.2 | 2.20 (2*71 + 20) | Religious & Ceremonial > Religious Items | No |
These are the training products that have the "CLEANSE" tag (processing sequence 888). 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 |
|---|---|---|---|---|---|---|---|
| 3101 | Global Soap Shampoo Bars | 80938664 | CHILDREN | 80837618 | HAIR CARE | ||
| 5707 | BATH SALTS TRIO<br>SALT POUCHES | 101046 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | 0 | none | |
| 972 | Pineapple Jasmine | 162 | Religious & Ceremonial > Religious Items | none | -100884 | INCENSE | |
| 3103 | Global Soap Coffee Scrub Soap | 0 | SCRUB | -101046 | NOURISHING |