Fold 4 - Understanding why coefficient -1839447 was selected
Tag: COTTON-BLEND
Selected Coefficient: -1839447
Taxonomy Path: -1.1.18.3
Taxonomy Name:
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| -1839447 | 5.012193 | -1.1.18.3 | -3.18.1.1 (-(3*83^3 + 18*83^2 + 83 + 1)) | Yes | |
| -96129190 | 5.012774 | -1.1.10.2.2 | -2.2.10.1.1 (-(2*83^4 + 2*83^3 + 10*83^2 + 83 + 1)) | No | |
| -3678727 | 5.072289 | -1.0.36.6 | -6.36.0.1 (-(6*83^3 + 36*83^2 + 1)) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 5451). 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 |
|---|---|---|---|---|---|---|---|
| 11893 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | DAVID-EDWARDS | |
| 11830 | The Union - Tattered V2 | 0 | SKINNY-FIT | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | none | |
| 11834 | Donnie Turtleneck Sweater | 0 | LONG-SLEEVE, TURTLENECK | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | SIZE-3X-LARGE, DAVID-EDWARDS, SIZE-X-LARGE | |
| 11857 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | DAVID-EDWARDS | |
| 11878 | Dwayne Slim Fit Chino Pants | 0 | CHINO | 1839447 | Apparel & Accessories > Clothing > Socks > Crew Socks | DAVID-EDWARDS | |
| 11792 | Vadala Paisley Fashion Socks | -1839447 | VANNUCCI, SOCKS | 0 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -1839447 | VANNUCCI, SOCKS | 0 | none | ||
| 11805 | Vago Paisley Fashion Socks | -1839447 | VANNUCCI, SOCKS | 0 | none | ||
| 11380 | Vader Dotted Fashion Socks | -1839447 | VANNUCCI, SOCKS | 0 | none | ||
| 11819 | Vadala Paisley Fashion Socks | -1839447 | VANNUCCI, SOCKS | 0 | none | ||
| 11804 | Vago Paisley Fashion Socks | -3678727 | VANNUCCI, SOCKS | -1839280 | none | ||
| 11845 | Donnie Turtleneck Sweater | -96129190 | SIZE-2X-LARGE, LONG-SLEEVE, TURTLENECK | -94289743 | SIZE-3X-LARGE, DAVID-EDWARDS, SIZE-X-LARGE |