Fold 4 - Understanding why coefficient -6983759 was selected
Tag: COTTON-BLEND
Selected Coefficient: -6983759
Taxonomy Path: -1.1.13.14
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -6983759 | 2.025316 | -1.1.13.14 | -14.13.1.1 (-(14*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5991519 | 2.037975 | -1.2.12.12 | -12.12.2.1 (-(12*79^3 + 12*79^2 + 2*79 + 1)) | No | |
| -552341221 | 6.000000 | -2.3.22.14.14 | -14.14.22.3.2 (-(14*79^4 + 14*79^3 + 22*79^2 + 3*79 + 2)) | No | |
| -1529045 | 6.000000 | -0.0.8.3 | -3.8.0.0 (-(3*79^3 + 8*79^2)) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 1127). 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 |
|---|---|---|---|---|---|---|---|
| 11845 | Donnie Turtleneck Sweater | -1529045 | CASUAL, AD | 5454714 | CREAM, DAVID-EDWARDS, FALL, LONG-SLEEVE | ||
| 11792 | Vadala Paisley Fashion Socks | -5991519 | ACCESSORIES, CLOTHING | 992240 | UNDER-50 | ||
| 11380 | Vader Dotted Fashion Socks | -5991519 | ACCESSORIES, CLOTHING | 992240 | UNDER-50 | ||
| 11857 | Dwayne Slim Fit Chino Pants | -6983759 | CASUAL, 100-150, AD, CLOTHING | 0 | DAVID-EDWARDS, CHINO | ||
| 11878 | Dwayne Slim Fit Chino Pants | -6983759 | CASUAL, 100-150, AD, CLOTHING | 0 | DAVID-EDWARDS, SAND, CHINO | ||
| 11893 | Dwayne Slim Fit Chino Pants | -6983759 | CASUAL, 100-150, AD, CLOTHING | 0 | DAVID-EDWARDS, CHINO | ||
| 11805 | Vago Paisley Fashion Socks | -552341221 | CHARCOAL, ACCESSORIES, CLOTHING | -545357462 | UNDER-50 |