Fold 4 - Understanding why coefficient 45441 was selected
Tag: $20 - $40
Selected Coefficient: 45441
Taxonomy Path: 1.1.9
Taxonomy Name: Apparel & Accessories > Clothing > One-Pieces
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 45441 | 1.000198 | 1.1.9 | 9.1.1 (9*71^2 + 71 + 1) | Apparel & Accessories > Clothing > One-Pieces | Yes |
| 423516 | 1.000198 | 1.1.13.1 | 1.13.1.1 (357911 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "$20 - $40" tag (processing sequence 235). 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 |
|---|---|---|---|---|---|---|---|
| 428 | Ruffled Sleeve Frill Neck Gathered Detail Blouse | 423516 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 378075 | none | |
| 297 | Belted Lapel Collar Romper with Pockets | 45441 | Apparel & Accessories > Clothing > One-Pieces | none | 0 | none | |
| 373 | Leopard Ruffled V-Neck Peplum Blouse | 0 | LEOPARD | -45441 | none |