Fold 4 - Understanding why coefficient 2928889 was selected
Tag: CLEANSE
Selected Coefficient: 2928889
Taxonomy Path: 68.0.13.8
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 2928889 | 3.000198 | 68.0.13.8 | 8.13.0.68 (8*71^3 + 13*71^2 + 68) | Yes | |
| 83867185 | 3.000198 | 68.0.23.21.3 | 3.21.23.0.68 (3*71^4 + 21*71^3 + 23*71^2 + 68) | No | |
| 162 | 4.000000 | 20.2 | 2.20 (2*71 + 20) | Religious & Ceremonial > Religious Items | No |
| 101046 | 4.000000 | 13.3.20 | 20.3.13 (20*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | No |
| 204332036 | 4.000000 | 0.2.64.2.8 | 8.2.64.2.0 (8*71^4 + 2*71^3 + 64*71^2 + 2*71) | No |
These are the training products that have the "CLEANSE" tag (processing sequence 567). 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 |
|---|---|---|---|---|---|---|---|
| 3103 | Global Soap Coffee Scrub Soap | 204332036 | SCRUB, ANTIOXIDANT | 201403147 | DRY SKIN, NOURISHING | ||
| 3101 | Global Soap Shampoo Bars | 83867185 | BABIES, CHILDREN | 80938296 | none | ||
| 3098 | Global Soap Detox Skin Bar | 2928889 | BABIES, CHILDREN | 0 | none | ||
| 5707 | BATH SALTS TRIO<br>SALT POUCHES | 101046 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | -2827843 | DETOX | |
| 972 | Pineapple Jasmine | 162 | Religious & Ceremonial > Religious Items | none | -2928727 | INCENSE |