Fold 0 - Understanding why coefficient 8094659 was selected
Tag: LONG-SLEEVE
Selected Coefficient: 8094659
Taxonomy Path: 1.1.13.14
Taxonomy Name:
Products with this tag: 14
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? |
|---|---|---|---|---|---|
| 8094659 | 7.000003 | 1.1.13.14 | 14.13.1.1 (14*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4092150 | 7.000009 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 0 | 7.000145 | 0 | 0 (0) | No | |
| 89178105 | 7.000871 | 0.0.80.72.1 | 1.72.80.0.0 (47458321 + 72*83^3 + 80*83^2) | No |
These are the training products that have the "LONG-SLEEVE" tag (processing sequence 4114). 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 |
|---|---|---|---|---|---|---|---|
| 11835 | Drew Wool Blend Bomber Jacket | 89178105 | SIZE-3X-LARGE | 81083446 | BASEBALL | ||
| 8342 | VINTAGE | Clay | Sweatshirt | 8094659 | none | 0 | SHOP ALL, SWEATSHIRT, COZY | ||
| 31853 | Y'ALL | Ash | Sweatshirt | 8094659 | none | 0 | SHOP ALL | ||
| 31873 | Mama Bird | Sand | Embroidered Sweatshirt | 8094659 | none | 0 | SHOP ALL | ||
| 31875 | Love | Red Comfy Cord | Sweatshirt | 8094659 | none | 0 | SHOP ALL, HOLIDAYS | ||
| 31905 | Love | Rose | Sweatshirt | 8094659 | none | 0 | SHOP ALL | ||
| 11861 | Don Slim Fit Dress Shirt | 4092150 | none | -4002509 | SUITING | ||
| 11881 | Trapani Button Down Shirt | 4092150 | none | -4002509 | none | ||
| 8420 | Love Like Jesus | Black | The Avery Vintage Fleece | 0 | PREACH | -8094659 | SHOP ALL | ||
| 8433 | Love Like Jesus Vintage Fleece | Vintage Olive | 0 | PREACH | -8094659 | SHOP ALL | ||
| 11834 | Donnie Turtleneck Sweater | 0 | SIZE-3X-LARGE | -8094659 | TURTLENECK | ||
| 11845 | Donnie Turtleneck Sweater | 0 | SIZE-3X-LARGE | -8094659 | TURTLENECK | ||
| 8418 | Love Like Jesus | Grey Acid Wash Fleece | 0 | PREACH | -8094659 | SHOP ALL | ||
| 11862 | Gavin Slim Plaid Suit | 0 | SIZE-36R-30W | -8094659 | SUITING |