Fold 3 - Understanding why coefficient 4056730 was selected
Tag: VALENTINESDAY
Selected Coefficient: 4056730
Taxonomy Path: 1.1.18.8
Taxonomy Name: Apparel & Accessories > Clothing > Socks > Knee Socks
Products with this tag: 14
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 4056730 | 7.038135 | 1.1.18.8 | 8.18.1.1 (8*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Knee Socks | Yes |
| 3532486 | 7.038455 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 56802 | 7.063451 | 1.8.9 | 9.8.1 (9*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Flats | No |
| 19356 | 7.063451 | 1.8.3 | 3.8.1 (3*79^2 + 8*79 + 1) | Apparel & Accessories > Shoes > Boots | No |
| 25439 | 7.075949 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | No |
| 0 | 10.000000 | 0 | 0 (0) | No | |
| -4518564 | 11.000000 | -1.1.13.9 | -9.13.1.1 (-(9*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "VALENTINESDAY" tag (processing sequence 4169). 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 |
|---|---|---|---|---|---|---|---|
| 11893 | Dwayne Slim Fit Chino Pants | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | CHINO, COTTON-BLEND | 0 | none | |
| 11857 | Dwayne Slim Fit Chino Pants | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | CHINO, COTTON-BLEND | 0 | none | |
| 11878 | Dwayne Slim Fit Chino Pants | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | CHINO, COTTON-BLEND | 0 | none | |
| 11861 | Don Slim Fit Dress Shirt | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -524244 | none | |
| 11891 | Dayton Woven Penny Loafers | 56802 | Apparel & Accessories > Shoes > Flats | none | -3999928 | none | |
| 11859 | Brody Bouquet Lapel Pin Brooch | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | -4031291 | none | |
| 10415 | Colden Chukka Boots | 19356 | Apparel & Accessories > Shoes > Boots | none | -4037374 | none | |
| 11858 | Desert One Chelsea Boots | 0 | SIZE-7 | -4056730 | none | ||
| 11862 | Gavin Slim Plaid Suit | 0 | SIZE-36R-30W | -4056730 | none | ||
| 11879 | Wallabees | 0 | SIZE-8-5 | -4056730 | none | ||
| 11836 | Baldwin Penny Loafers | 0 | SIZE-8-5 | -4056730 | none | ||
| 11870 | Carlton Slim Fit Vested Suit | -4518564 | SIZE-36R-30W, VEST | -8575294 | none | ||
| 11872 | Carlton Slim Fit Vested Suit | -4518564 | SIZE-36R-30W, VEST | -8575294 | none | ||
| 11832 | Carter Slim Fit Vested Suit | -4518564 | SIZE-36R-30W, VEST | -8575294 | none |