Fold 3 - Understanding why coefficient -4056730 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4056730
Taxonomy Path: -1.1.18.8
Taxonomy Name:
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| -4056730 | 4.012658 | -1.1.18.8 | -8.18.1.1 (-(8*79^3 + 18*79^2 + 79 + 1)) | Yes | |
| -5648106 | 4.063291 | -1.0.36.11 | -11.36.0.1 (-(11*79^3 + 36*79^2 + 1)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| 2047128 | 9.000000 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 3018). 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 |
|---|---|---|---|---|---|---|---|
| 11830 | The Union - Tattered V2 | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 6103858 | none | |
| 11893 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | VALENTINESDAY | |
| 11857 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | VALENTINESDAY | |
| 11878 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | VALENTINESDAY | |
| 11380 | Vader Dotted Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11819 | Vadala Paisley Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11792 | Vadala Paisley Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11805 | Vago Paisley Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11804 | Vago Paisley Fashion Socks | -5648106 | VANNUCCI, SOCKS | -1591376 | none |