Fold 0 - Understanding why coefficient 157 was selected
Tag: CLEANSE
Selected Coefficient: 157
Taxonomy Path: 78.1
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 157 | 3.000000 | 78.1 | 1.78 (79 + 78) | Yes | |
| 178 | 3.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
| 125070 | 3.000000 | 13.3.20 | 20.3.13 (20*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | No |
| 121281256 | 3.000000 | 61.77.77.8.3 | 3.8.77.77.61 (3*79^4 + 8*79^3 + 77*79^2 + 77*79 + 61) | No |
These are the training products that have the "CLEANSE" tag (processing sequence 1001). 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 | 121281256 | BABIES, BATHROOM, CHILDREN | 121281099 | HAIR CARE | ||
| 5707 | BATH SALTS TRIO<br>SALT POUCHES | 125070 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | 124913 | Home & Garden > Bathroom Accessories > Toothbrush Holders | none |
| 972 | Pineapple Jasmine | 178 | Religious & Ceremonial > Religious Items | none | 21 | INCENSE | |
| 3103 | Global Soap Coffee Scrub Soap | 157 | BATHROOM | 0 | none |