Fold 0 - Understanding why coefficient -4468636 was selected
Tag: AD
Selected Coefficient: -4468636
Taxonomy Path: -1.1.5.9
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| -4468636 | 5.013459 | -1.1.5.9 | -9.5.1.1 (-(9*79^3 + 5*79^2 + 79 + 1)) | Yes | |
| -25044 | 5.013620 | -1.1.4 | -4.1.1 (-(4*79^2 + 79 + 1)) | No | |
| -4587215 | 5.013622 | -1.1.24.9 | -9.24.1.1 (-(9*79^3 + 24*79^2 + 79 + 1)) | No | |
| -6559371 | 5.013622 | -1.1.24.13 | -13.24.1.1 (-(13*79^3 + 24*79^2 + 79 + 1)) | No | |
| -4025525 | 5.013780 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| -624259 | 5.101266 | -1.2.21.1 | -1.21.2.1 (-(493039 + 21*79^2 + 2*79 + 1)) | No | |
| 72951049 | 10.000320 | 0.0.76.68.1 | 1.68.76.0.0 (38950081 + 68*79^3 + 76*79^2) | No | |
| -1978397 | 10.000481 | -0.0.1.4 | -4.1.0.0 (-(4*79^3 + 6241)) | No | |
| -5879022 | 10.000481 | -0.0.73.11 | -11.73.0.0 (-(11*79^3 + 73*79^2)) | No | |
| 56802 | 13.000000 | 1.8.9 | 9.8.1 (9*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Flats | No |
These are the training products that have the "AD" tag (processing sequence 384). 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 |
|---|---|---|---|---|---|---|---|
| 11854 | Drew Bomber Jacket | 72951049 | CASUAL | 77419685 | CLOTHING, LONG-SLEEVE, SIZE-2X-LARGE | ||
| 11835 | Drew Wool Blend Bomber Jacket | 72951049 | CASUAL | 77419685 | CLOTHING, LONG-SLEEVE, SIZE-2X-LARGE | ||
| 11879 | Wallabees | 56802 | Apparel & Accessories > Shoes > Flats | none | 4525438 | CASUAL-SHOES, OVER-200, SIZE-13, SIZE-7-5 | |
| 10415 | Colden Chukka Boots | -25044 | SUEDE, 100-150 | 4443592 | CASUAL-SHOES, SIZE-13, SIZE-9 | ||
| 11831 | Desert Boots | -25044 | SUEDE, 100-150 | 4443592 | CASUAL-SHOES | ||
| 11859 | Brody Bouquet Lapel Pin Brooch | -624259 | GOLD, ACCESSORIES | 3844377 | UNDER-50 | ||
| 11830 | The Union - Tattered V2 | -1978397 | 50-100 | 2490239 | CLOTHING, COTTON-BLEND | ||
| 11834 | Donnie Turtleneck Sweater | -4025525 | CASUAL, 50-100 | 443111 | COTTON-BLEND, LONG-SLEEVE | ||
| 11893 | Dwayne Slim Fit Chino Pants | -4468636 | CASUAL, 100-150 | 0 | CLOTHING, COTTON-BLEND | ||
| 11857 | Dwayne Slim Fit Chino Pants | -4468636 | CASUAL, 100-150 | 0 | CLOTHING, COTTON-BLEND | ||
| 11843 | Dennis Slim Fit Plaid Pants | -4468636 | CASUAL, 100-150 | 0 | CLOTHING, COTTON-BLEND, PLAID | ||
| 11847 | Nampa Classic Leather Belt | -4587215 | 50-100, ACCESSORIES | -118579 | BELTS, NEW-EDITION-FASHION | ||
| 11862 | Gavin Slim Plaid Suit | -5879022 | NAVY | -1410386 | CLOTHING, LONG-SLEEVE, OVER-200, PLAID | ||
| 11877 | Vartan Braided Belt | -6559371 | CASUAL, ACCESSORIES | -2090735 | BELTS, UNDER-50 |