Fold 3 - Understanding why coefficient 75218 was selected
Tag: STORAGE CABINET
Selected Coefficient: 75218
Taxonomy Path: 10.4.12
Taxonomy Name: Furniture > Cabinets & Storage > Storage Cabinets & Lockers
Products with this tag: 13
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 75218 | 6.025637 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | Yes |
| 68977 | 6.025797 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | No |
| 721 | 6.063291 | 10.9 | 9.10 (9*79 + 10) | Furniture > Entertainment Centers & TV Stands | No |
| 35866 | 7.025316 | 0.59.5 | 5.59.0 (5*79^2 + 59*79) | No | |
| -38631 | 7.063291 | -0.15.6 | -6.15.0 (-(6*79^2 + 15*79)) | No | |
| 0 | 7.063291 | 0 | 0 (0) | No |
These are the training products that have the "STORAGE CABINET" tag (processing sequence 2921). 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 |
|---|---|---|---|---|---|---|---|
| 13362 | Circa Floating Cabinet Module 6 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 13351 | Circa Box Combo - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 13361 | Circa Floating Cabinet Module 5 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | none | |
| 13354 | Circa Cupboard Combo Type 2 (80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | -6241 | none | |
| 13353 | Circa Cupboard Combo Type 1 ( 80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | -6241 | none | |
| 13358 | Circa Floating Cabinet Module 4 - White Oak | 35866 | BEDSIDE TABLES | -39352 | none | ||
| 13352 | Circa Floating Cabinet Module 1 - White Oak | 35866 | BEDSIDE TABLES | -39352 | none | ||
| 13356 | Circa Floating Cabinet Module 2 - White Oak | 35866 | BEDSIDE TABLES | -39352 | none | ||
| 13359 | Circa Floating Cabinet Module 3 - White Oak | 35866 | BEDSIDE TABLES | -39352 | none | ||
| 14610 | Vintage Low TV Unit 180cm - White Oak | 721 | Furniture > Entertainment Centers & TV Stands | none | -74497 | none | |
| 14611 | Vintage Low TV Unit 180cm - FSC Recycled Teak | 721 | Furniture > Entertainment Centers & TV Stands | none | -74497 | none | |
| 13357 | Circa Floating Bedside Left / Right Groove - White Oak | 0 | BEDSIDE TABLES | -75218 | none | ||
| 13366 | Circa Media Cabinet 180cm - White Oak | -38631 | BEDSIDE TABLES | -113849 | none |