Fold 3 - Understanding why coefficient -4025525 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 8
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 | 7.000162 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5997681 | 7.000164 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -8431671 | 7.000481 | -1.1.8.17 | -17.8.1.1 (-(17*79^3 + 8*79^2 + 79 + 1)) | No | |
| -1978397 | 7.012979 | -0.0.1.4 | -4.1.0.0 (-(4*79^3 + 6241)) | No | |
| 0 | 7.012979 | 0 | 0 (0) | No | |
| -2433990 | 7.012979 | -0.0.74.4 | -4.74.0.0 (-(4*79^3 + 74*79^2)) | No | |
| -4025366 | 7.037975 | -0.78.12.8 | -8.12.78.0 (-(8*79^3 + 12*79^2 + 78*79)) | No | |
| -8494161 | 8.000000 | -2.2.18.17 | -17.18.2.2 (-(17*79^3 + 18*79^2 + 2*79 + 2)) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 1121). 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 | 0 | CASUAL | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | CREAM, DAVID-EDWARDS, FALL, SIZE-2X-LARGE, SIZE-3X-LARGE | |
| 11830 | The Union - Tattered V2 | -1978397 | CLOTHING | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | |
| 11380 | Vader Dotted Fashion Socks | -2433990 | CLOTHING | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | SOCKS, UNDER-50, VANNUCCI, MULTI | |
| 11804 | Vago Paisley Fashion Socks | -4025366 | CLOTHING | 159 | Apparel & Accessories > Clothing Accessories | SOCKS, UNDER-50, VANNUCCI, MULTI | |
| 11805 | Vago Paisley Fashion Socks | -4025525 | CHARCOAL, CLOTHING | 0 | SOCKS, UNDER-50, VANNUCCI, MULTI | ||
| 11819 | Vadala Paisley Fashion Socks | -4025525 | CHARCOAL, CLOTHING | 0 | SOCKS, UNDER-50, VANNUCCI, MULTI | ||
| 11834 | Donnie Turtleneck Sweater | -5997681 | CASUAL, BLUE | -1972156 | DAVID-EDWARDS, FALL, SIZE-3X-LARGE | ||
| 11803 | Vaca Diamond Fashion Socks | -8431671 | BLUE, CLOTHING | -4406146 | SOCKS, UNDER-50, VANNUCCI, MULTI | ||
| 11878 | Dwayne Slim Fit Chino Pants | -8494161 | CASUAL, 100-150, CLOTHING | -4468636 | DAVID-EDWARDS | ||
| 11843 | Dennis Slim Fit Plaid Pants | -8494161 | CASUAL, 100-150, CLOTHING | -4468636 | DAVID-EDWARDS, PATTERNED, PLAID | ||
| 11857 | Dwayne Slim Fit Chino Pants | -8494161 | CASUAL, 100-150, CLOTHING | -4468636 | DAVID-EDWARDS |