Fold 3 - Understanding why coefficient 1176 was selected
Tag: HOME & GARDEN
Selected Coefficient: 1176
Taxonomy Path: 14.14
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 1176 | 0.024096 | 14.14 | 14.14 (14*83 + 14) | Yes | |
| 103432 | 0.024096 | 14.1.15 | 15.1.14 (15*83^2 + 83 + 14) | No | |
| 1213557 | 0.024096 | 14.13.10.2 | 2.10.13.14 (2*83^3 + 10*83^2 + 13*83 + 14) | No |
These are the training products that have the "HOME & GARDEN" tag (processing sequence 6240). 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 |
|---|---|---|---|---|---|---|---|
| 16712 | Halo Sunset Lamp | 1213557 | none | 1212381 | none | ||
| 16714 | Infrared Motion Sensor Stainless Steel Touchless Automatic Soap Dispenser | 103432 | none | 102256 | none | ||
| 16514 | Patio Umbrella Light - 28 LED Lights - 3 Brightness Modes - Cordless | 1176 | none | 0 | none |