Fold 1 - Understanding why coefficient 7408235 was selected
Tag: CABINET BEDS
Selected Coefficient: 7408235
Taxonomy Path: 10.2.2.15
Taxonomy Name: Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames
Products with this tag: 15
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? |
|---|---|---|---|---|---|
| 7408235 | 0.012658 | 10.2.2.15 | 15.2.2.10 (15*79^3 + 2*79^2 + 2*79 + 10) | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | Yes |
| 75218 | 0.177215 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | No |
These are the training products that have the "CABINET BEDS" tag (processing sequence 898). 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 |
|---|---|---|---|---|---|---|---|
| 6685 | Night & Day Murphy Cabinet Bed- Daisy Black Walnut Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1953 | Arason Creden-ZzZ Cabinet Bed- Madrid White Full-Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1954 | Arason Creden-ZzZ Cabinet Bed- Pekoe Full-Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1965 | Arason Creden-ZzZ Cabinet Bed- Bridgeport Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1966 | Arason Creden-ZzZ Cabinet Bed- Brussels Ash Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1995 | Arason Creden-ZzZ Cabinet Bed- Essex Black Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1996 | Arason Creden-ZzZ Cabinet Bed- Essex White Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1997 | Arason Creden-ZzZ Cabinet Bed- Studio Ash Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 2021 | Night & Day Murphy Cube Cabinet Bed- Cherry Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 2023 | Night & Day Murphy Cabinet Bed- Clover Cherry Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 4906 | Arason Creden-ZzZ Cabinet Bed- Cottage Black Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 4942 | Night & Day Murphy Cabinet Bed- Clover White Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 5016 | Night & Day Murphy Cabinet Bed- Poppy White Bark Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 1952 | Arason Creden-ZzZ Cabinet Bed- Coffee/Espresso Full-Queen | 7408235 | Furniture > Beds & Accessories > Beds & Bed Frames > Wall Beds & Bed Frames | none | 0 | none | |
| 5018 | Night & Day Murphy Cabinet Bed- Sagebrush Stonewash Queen | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | -7333017 | none |