Fold 3 - Understanding why coefficient -195723686 was selected
Tag: CLEANSE
Selected Coefficient: -195723686
Taxonomy Path: -1.75.76.1.5
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -195723686 | 2.000000 | -1.75.76.1.5 | -5.1.76.75.1 (-(5*79^4 + 493039 + 76*79^2 + 75*79 + 1)) | Yes | |
| -93 | 2.000000 | -14.1 | -1.14 (-(79 + 14)) | No | |
| 124433045 | 2.000000 | 66.78.29.15.3 | 3.15.29.78.66 (3*79^4 + 15*79^3 + 29*79^2 + 78*79 + 66) | No |
These are the training products that have the "CLEANSE" tag (processing sequence 998). 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 | 124433045 | BABIES, BATHROOM, CAMPING | 320156731 | ECONOMICAL, HAIR CARE, SOAP BAR | ||
| 3098 | Global Soap Detox Skin Bar | -93 | BABIES, BATHROOM | 195723593 | ECONOMICAL, SOAP BAR | ||
| 3103 | Global Soap Coffee Scrub Soap | -195723686 | ANTIOXIDANT, BATHROOM | 0 | SCRUB, SOAP BAR |