Fold 1 - Understanding why coefficient 4012565 was selected
Tag: SOAP BAR
Selected Coefficient: 4012565
Taxonomy Path: 0.70.14.11
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? |
|---|---|---|---|---|---|
| 4012565 | 2.000000 | 0.70.14.11 | 11.14.70.0 (11*71^3 + 14*71^2 + 70*71) | Yes | |
| 30115160 | 2.000000 | 13.3.10.13.1 | 1.13.10.3.13 (25411681 + 13*71^3 + 10*71^2 + 3*71 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | No |
| 80958592 | 2.000000 | 61.1.14.13.3 | 3.13.14.1.61 (3*71^4 + 13*71^3 + 14*71^2 + 71 + 61) | No |
These are the training products that have the "SOAP BAR" tag (processing sequence 1248). 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 | 80958592 | CHILDREN, CLEANSE | 76946027 | none | ||
| 3097 | Global Soap Conditioner Bars | 30115160 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Conditioners | none | 26102595 | none | |
| 3104 | Global Soap Stain Remover Soap | 4012565 | BIO-DEGRADABLE, BIODEGRADABLE, SCRUB | 0 | none |