Fold 3 - Understanding why coefficient 5929118 was selected
Tag: HOUSEWARMING
Selected Coefficient: 5929118
Taxonomy Path: 10.2.2.12
Taxonomy Name: Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 5929118 | 2.000000 | 10.2.2.12 | 12.2.2.10 (12*79^3 + 2*79^2 + 2*79 + 10) | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | Yes |
| -11115477 | 3.000000 | -19.3.43.22 | -22.43.3.19 (-(22*79^3 + 43*79^2 + 3*79 + 19)) | No | |
| 178 | 3.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
These are the training products that have the "HOUSEWARMING" tag (processing sequence 1710). 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 |
|---|---|---|---|---|---|---|---|
| 10873 | Agate Bookends Amber | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10963 | Heavy Cast Iron Rhino Bookends | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10876 | Space Cleansing Smudging & Crystal Starter Kit Mini | 178 | Religious & Ceremonial > Religious Items | none | -5928940 | none | |
| 10955 | Staghorn Coral Oversized Feature Specimens | -11115477 | BEDROOM, EVENTS | -17044595 | SHELF |