Fold 3 - Understanding why coefficient 2901524 was selected
Tag: RECTANGULAR
Selected Coefficient: 2901524
Taxonomy Path: 10.15.6.5
Taxonomy Name: Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables
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? |
|---|---|---|---|---|---|
| 2901524 | 1.000000 | 10.15.6.5 | 5.6.15.10 (5*83^3 + 6*83^2 + 15*83 + 10) | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | Yes |
| 3527335 | 2.000000 | 1.2.14.6 | 6.14.2.1 (6*83^3 + 14*83^2 + 2*83 + 1) | Apparel & Accessories > Clothing Accessories > Hair Accessories > Hair Pins, Claws & Clips | No |
These are the training products that have the "RECTANGULAR" tag (processing sequence 3623). 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 |
|---|---|---|---|---|---|---|---|
| 19318 | Amber Rectangular Checkered Hair Claw | 3527335 | Apparel & Accessories > Clothing Accessories > Hair Accessories > Hair Pins, Claws & Clips | none | 625811 | none | |
| 8398 | Rectangular Dining Table | 2901524 | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | none | 0 | DINING TABLE | |
| 8408 | Rectangular Counter Table | 2901524 | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | none | 0 | none |