Fold 0 - Understanding why coefficient -4025525 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| -4025525 | 4.025477 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -4624661 | 4.025797 | -1.1.30.9 | -9.30.1.1 (-(9*79^3 + 30*79^2 + 79 + 1)) | No | |
| -3033285 | 4.050633 | -1.2.12.6 | -6.12.2.1 (-(6*79^3 + 12*79^2 + 2*79 + 1)) | No | |
| -4624820 | 8.000000 | -2.3.30.9 | -9.30.3.2 (-(9*79^3 + 30*79^2 + 3*79 + 2)) | No | |
| -1535286 | 8.000160 | -0.0.9.3 | -3.9.0.0 (-(3*79^3 + 9*79^2)) | No | |
| 443111 | 8.000160 | 0.0.71 | 71.0.0 (71*79^2) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 1125). 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 |
|---|---|---|---|---|---|---|---|
| 11834 | Donnie Turtleneck Sweater | 443111 | CASUAL, 50-100, AD | 4468636 | LONG-SLEEVE | ||
| 11830 | The Union - Tattered V2 | -1535286 | 50-100, AD, CLOTHING | 2490239 | none | ||
| 11792 | Vadala Paisley Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | MULTI, SOCKS, UNDER-50 | ||
| 11803 | Vaca Diamond Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | MULTI, SOCKS, UNDER-50 | ||
| 11843 | Dennis Slim Fit Plaid Pants | -4025525 | CASUAL, 100-150, AD, CLOTHING | 0 | PLAID | ||
| 11857 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, AD, CLOTHING | 0 | none | ||
| 11893 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, AD, CLOTHING | 0 | none | ||
| 11804 | Vago Paisley Fashion Socks | -4624661 | ACCESSORIES, CLOTHING | -599136 | MULTI, SOCKS, UNDER-50 | ||
| 11819 | Vadala Paisley Fashion Socks | -4624820 | CHARCOAL, ACCESSORIES, CLOTHING | -599295 | MULTI, SOCKS, UNDER-50 | ||
| 11805 | Vago Paisley Fashion Socks | -4624820 | CHARCOAL, ACCESSORIES, CLOTHING | -599295 | MULTI, SOCKS, UNDER-50 |