Fold 0 - Understanding why coefficient 68977 was selected
Tag: COLOUR:OAK
Selected Coefficient: 68977
Taxonomy Path: 10.4.11
Taxonomy Name: Furniture > Cabinets & Storage > Sideboards
Products with this tag: 33
Unique residual values tried: 11
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 | 16.127223 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | No |
| 68977 | 16.127223 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | Yes |
| 31531 | 16.127544 | 10.4.5 | 5.4.10 (5*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Dressers | No |
| 26870 | 16.164557 | 10.24.4 | 4.24.10 (4*79^2 + 24*79 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | No |
| 1116 | 16.164557 | 10.14 | 14.10 (14*79 + 10) | Furniture > Ottomans | No |
| 7199 | 16.189873 | 10.12.1 | 1.12.10 (6241 + 12*79 + 10) | Furniture > Office Furniture > Desks | No |
| 0 | 17.025325 | 0 | 0 (0) | No | |
| 493039 | 17.025339 | 0.0.0.1 | 1.0.0.0 (493039) | No | |
| -493039 | 17.025343 | -0.0.0.1 | -1.0.0.0 (-(493039)) | No | |
| -35866 | 17.189873 | -0.59.5 | -5.59.0 (-(5*79^2 + 59*79)) | No | |
| -74497 | 17.189873 | -0.74.11 | -11.74.0 (-(11*79^2 + 74*79)) | No |
These are the training products that have the "COLOUR:OAK" tag (processing sequence 1057). 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 |
|---|---|---|---|---|---|---|---|
| 14592 | Vintage Nesting Tables - 60 cm | 493039 | COFFEE TABLES | 424062 | DINING ROOM FURNITURE | ||
| 14581 | Up and Down Single Tray Side Table - FSC Teak | 493039 | COFFEE TABLES | 424062 | LIVING ROOM FURNITURE, MATERIAL:TIMBER, SIDEBOARD BUFFETS | ||
| 14583 | Up and Down Single Tray Side Table - White Oak | 493039 | COFFEE TABLES | 424062 | LIVING ROOM FURNITURE, MATERIAL:TIMBER, SIDEBOARD BUFFETS | ||
| 13362 | Circa Floating Cabinet Module 6 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 6241 | STORAGE CABINET | |
| 13351 | Circa Box Combo - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 6241 | STORAGE CABINET | |
| 13361 | Circa Floating Cabinet Module 5 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 6241 | STORAGE CABINET | |
| 14585 | Up and Down Small Open Sideboard 120cm - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 0 | LIVING ROOM FURNITURE, MATERIAL:TIMBER, SIDEBOARD BUFFETS | |
| 13353 | Circa Cupboard Combo Type 1 ( 80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 0 | STORAGE CABINET | |
| 13354 | Circa Cupboard Combo Type 2 (80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 0 | STORAGE CABINET | |
| 13009 | Vintage Chest 168cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | -37446 | LIVING ROOM FURNITURE, MATERIAL:TIMBER, SIDEBOARD BUFFETS | |
| 14599 | Vintage Dining Table 200cm - Satin Black | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -42107 | DINING ROOM FURNITURE | |
| 14597 | Vintage Dining Table - 180CM | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -42107 | DINING ROOM FURNITURE | |
| 13007 | Vintage Dining Table 200cm - White Oak | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -42107 | DINING ROOM FURNITURE | |
| 14598 | Vintage Dining Table 200cm - FSC Recycled Teak | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -42107 | DINING ROOM FURNITURE | |
| 13355 | Circa office desk - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -61778 | HOME OFFICE DESKS, LIVING ROOM FURNITURE | |
| 13367 | Koppar Office Desk 150 cm - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -61778 | HOME OFFICE DESKS, LIVING ROOM FURNITURE | |
| 14574 | Suar Hourglass Stool - 30cm | 1116 | Furniture > Ottomans | none | -67861 | MATERIAL:WOOD | |
| 13401 | Woody Stool Round - 35cm | 1116 | Furniture > Ottomans | none | -67861 | MATERIAL:WOOD | |
| 13402 | Driftwood Drumstool - 30cm | 1116 | Furniture > Ottomans | none | -67861 | MATERIAL:WOOD | |
| 14573 | Suar Barrel Stool - 30cm | 1116 | Furniture > Ottomans | none | -67861 | MATERIAL:WOOD | |
| 14607 | Vintage King Bed 200 cm - White Oak | 0 | BEDROOM | -68977 | SIZE: KING SIZE | ||
| 13010 | Vintage King Single Bed 213 cm - White Oak | 0 | BEDROOM | -68977 | SIZE: KING SIZE | ||
| 13356 | Circa Floating Cabinet Module 2 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -68977 | STORAGE CABINET | ||
| 13358 | Circa Floating Cabinet Module 4 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -68977 | STORAGE CABINET | ||
| 13359 | Circa Floating Cabinet Module 3 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -68977 | STORAGE CABINET | ||
| 13398 | Vintage Tripod Coffee Table 80cm - White Oak | 0 | COFFEE TABLES | -68977 | LIVING ROOM FURNITURE, MATERIAL:TIMBER | ||
| 13571 | Up and Down Medium Coffee Table 80cm - White Oak | 0 | COFFEE TABLES | -68977 | LIVING ROOM FURNITURE, MATERIAL:TIMBER | ||
| 14582 | Up and Down Small Coffee Table - White Oak | 0 | COFFEE TABLES | -68977 | LIVING ROOM FURNITURE, MATERIAL:TIMBER | ||
| 14601 | Vintage Double Bed 197 cm - White Oak | 0 | BEDROOM | -68977 | DOUBLE SIZE | ||
| 14602 | Vintage Queen Bed 213 cm - White Oak | 0 | BEDROOM | -68977 | DOUBLE SIZE | ||
| 13357 | Circa Floating Bedside Left / Right Groove - White Oak | -35866 | BEDROOM, BEDSIDE TABLES | -104843 | STORAGE CABINET | ||
| 13366 | Circa Media Cabinet 180cm - White Oak | -74497 | BEDROOM, BEDSIDE TABLES | -143474 | STORAGE CABINET | ||
| 13365 | Circa King Bed Frame with Fabric Headboard and Storage - White Oak | -493039 | BEDROOM | -562016 | none |