Fold 4 - Understanding why coefficient 443751 was selected
Tag: EMBROIDERY
Selected Coefficient: 443751
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 443751 | 1.000000 | 1.2.17.1 | 1.17.2.1 (357911 + 17*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 3585230 | 2.000000 | 14.15.1.10 | 10.1.15.14 (10*71^3 + 5041 + 15*71 + 14) | Home & Garden > Linens & Bedding > Bedding > Quilts & Comforters | No |
These are the training products that have the "EMBROIDERY" tag (processing sequence 172). 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 |
|---|---|---|---|---|---|---|---|
| 7820 | Bespoke Quilt with embroidery | 3585230 | Home & Garden > Linens & Bedding > Bedding > Quilts & Comforters | none | 3141479 | none | |
| 292 | Babygirl Cap | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | HATS | |
| 293 | Babygirl Cap | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | HATS |