Fold 0 - Understanding why coefficient 75218 was selected
Tag: BEDSIDE TABLES
Selected Coefficient: 75218
Taxonomy Path: 10.4.12
Taxonomy Name: Furniture > Cabinets & Storage > Storage Cabinets & Lockers
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 75218 | 0.012658 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | Yes |
| 721 | 0.025316 | 10.9 | 9.10 (9*79 + 10) | Furniture > Entertainment Centers & TV Stands | No |
These are the training products that have the "BEDSIDE TABLES" tag (processing sequence 2333). 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 |
|---|---|---|---|---|---|---|---|
| 13358 | Circa Floating Cabinet Module 4 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | STORAGE CABINET | |
| 13359 | Circa Floating Cabinet Module 3 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 0 | STORAGE CABINET | |
| 13366 | Circa Media Cabinet 180cm - White Oak | 721 | Furniture > Entertainment Centers & TV Stands | none | -74497 | STORAGE CABINET |