Fold 1 - Understanding why coefficient -4025525 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 9
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 | 6.025637 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5554570 | 6.025797 | -1.1.21.11 | -11.21.1.1 (-(11*79^3 + 21*79^2 + 79 + 1)) | No | |
| -4624661 | 6.025797 | -1.1.30.9 | -9.30.1.1 (-(9*79^3 + 30*79^2 + 79 + 1)) | No | |
| -3033285 | 6.050633 | -1.2.12.6 | -6.12.2.1 (-(6*79^3 + 12*79^2 + 2*79 + 1)) | No | |
| -4624820 | 8.012818 | -2.3.30.9 | -9.30.3.2 (-(9*79^3 + 30*79^2 + 3*79 + 2)) | No | |
| -9030966 | 8.012979 | -2.3.25.18 | -18.25.3.2 (-(18*79^3 + 25*79^2 + 3*79 + 2)) | No | |
| -10023206 | 8.037975 | -2.2.26.20 | -20.26.2.2 (-(20*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| -1535286 | 10.000160 | -0.0.9.3 | -3.9.0.0 (-(3*79^3 + 9*79^2)) | No | |
| 443111 | 10.000160 | 0.0.71 | 71.0.0 (71*79^2) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 1117). 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 | 443111 | CASUAL, 50-100, AD | 4468636 | CREAM, DAVID-EDWARDS, SIZE-2X-LARGE | ||
| 11830 | The Union - Tattered V2 | -1535286 | 50-100, AD, CLOTHING | 2490239 | none | ||
| 11380 | Vader Dotted Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | UNDER-50, VANNUCCI | ||
| 11792 | Vadala Paisley Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | UNDER-50, VANNUCCI | ||
| 11893 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, AD, CLOTHING | 0 | DAVID-EDWARDS | ||
| 11878 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, AD, CLOTHING | 0 | DAVID-EDWARDS, SAND | ||
| 11804 | Vago Paisley Fashion Socks | -4624661 | ACCESSORIES, CLOTHING | -599136 | UNDER-50, VANNUCCI | ||
| 11805 | Vago Paisley Fashion Socks | -4624820 | CHARCOAL, ACCESSORIES, CLOTHING | -599295 | UNDER-50, VANNUCCI | ||
| 11819 | Vadala Paisley Fashion Socks | -4624820 | CHARCOAL, ACCESSORIES, CLOTHING | -599295 | UNDER-50, VANNUCCI | ||
| 11834 | Donnie Turtleneck Sweater | -5554570 | CASUAL, BLUE, 50-100, AD | -1529045 | DAVID-EDWARDS | ||
| 11803 | Vaca Diamond Fashion Socks | -9030966 | BLUE, ACCESSORIES, CLOTHING | -5005441 | UNDER-50, VANNUCCI | ||
| 11843 | Dennis Slim Fit Plaid Pants | -10023206 | CASUAL, 100-150, AD, BEIGE, CLOTHING | -5997681 | DAVID-EDWARDS, PATTERNED, PLAID |