Fold 3 - Understanding why coefficient 179281 was selected
Tag: BFF
Selected Coefficient: 179281
Taxonomy Path: 1.2.26
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 179281 | 4.012193 | 1.2.26 | 26.2.1 (26*83^2 + 2*83 + 1) | Yes | |
| 213726 | 4.012193 | 1.2.31 | 31.2.1 (31*83^2 + 2*83 + 1) | No | |
| 48722 | 4.024096 | 1.6.7 | 7.6.1 (7*83^2 + 6*83 + 1) | No | |
| 138042 | 5.000000 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | No | |
| 21162 | 6.000000 | 80.5.3 | 3.5.80 (3*83^2 + 5*83 + 80) | No | |
| 1150638 | 6.000000 | 9.2.1.2 | 2.1.2.9 (2*83^3 + 6889 + 2*83 + 9) | No |
These are the training products that have the "BFF" tag (processing sequence 6452). 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 |
|---|---|---|---|---|---|---|---|
| 18201 | Lavender Soft Biscotti Trio | 1150638 | none | 971357 | CULINARY, MAN | ||
| 18179 | Lavender Bundle Pin | 213726 | none | 34445 | STOCKING | ||
| 18210 | Scarf | 179281 | none | 0 | none | ||
| 18183 | Manicure Case | 138042 | none | -41239 | none | ||
| 18203 | Spa Set | 138042 | none | -41239 | MAN | ||
| 18192 | Bee Collection by Susan Roberts | 48722 | none | -130559 | none | ||
| 18199 | Well Wishes Wrap Bracelet | 21162 | KID | -158119 | none |