Fold 4 - 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: 7
Unique residual values tried: 4
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 | 3.000000 | 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 |
| -15166046 | 6.000000 | -21.5.60.30 | -30.60.5.21 (-(30*79^3 + 60*79^2 + 5*79 + 21)) | No | |
| -9767162 | 6.000000 | -76.78.63.19 | -19.63.78.76 (-(19*79^3 + 63*79^2 + 78*79 + 76)) | No | |
| -4025347 | 6.000000 | -60.77.12.8 | -8.12.77.60 (-(8*79^3 + 12*79^2 + 77*79 + 60)) | No |
These are the training products that have the "HOUSEWARMING" tag (processing sequence 1706). 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 |
|---|---|---|---|---|---|---|---|
| 10963 | Heavy Cast Iron Rhino Bookends | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10861 | Agate Bookends Black Quartz B | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10873 | Agate Bookends Amber | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10860 | Agate Bookends Black Quartz A | 5929118 | Furniture > Beds & Accessories > Beds & Bed Frames > Slat Beds & Bed Frames | CORPORATE, DINING ROOM | 0 | none | |
| 10876 | Space Cleansing Smudging & Crystal Starter Kit Mini | -4025347 | WHITE | -9954465 | RITUAL | ||
| 10971 | Hibiscus Coral | -9767162 | WHITE, BEDROOM | -15696280 | none | ||
| 10955 | Staghorn Coral Oversized Feature Specimens | -15166046 | WHITE, BEDROOM, EVENTS | -21095164 | SHELF |