Fold 1 - Understanding why coefficient 41833 was selected
Tag: OVAL
Selected Coefficient: 41833
Taxonomy Path: 1.6.6
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? |
|---|---|---|---|---|---|
| 41833 | 2.012193 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | Yes | |
| 634287 | 2.012193 | 1.6.9.1 | 1.9.6.1 (571787 + 9*83^2 + 6*83 + 1) | No | |
| 186170 | 2.024096 | 1.2.27 | 27.2.1 (27*83^2 + 2*83 + 1) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 186 | 4.000000 | 20.2 | 2.20 (2*83 + 20) | No |
These are the training products that have the "OVAL" tag (processing sequence 6971). 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 |
|---|---|---|---|---|---|---|---|
| 20680 | Elena Emerald and Diamond Ring | 634287 | WEDDING COLLECTION | 592454 | none | ||
| 10054 | TR90 T1041 | 186170 | none | 144337 | none | ||
| 30427 | 14K Yellow Gold 0.28ctw Diamond Drop Earrings | 41833 | none | 0 | none | ||
| 30545 | Gemini Copper Coin | 186 | none | -41647 | none | ||
| 33384 | Bubbles & Berries Oval Soap | 0 | SOAP | -41833 | none |