Fold 1 - Understanding why coefficient 31531 was selected
Tag: COLOUR:OAK
Selected Coefficient: 31531
Taxonomy Path: 10.4.5
Taxonomy Name: Furniture > Cabinets & Storage > Dressers
Products with this tag: 38
Unique residual values tried: 13
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? |
|---|---|---|---|---|---|
| 31531 | 17.140202 | 10.4.5 | 5.4.10 (5*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Dressers | Yes |
| 75218 | 17.140362 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | No |
| 68977 | 17.140362 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | No |
| 7199 | 17.227848 | 10.12.1 | 1.12.10 (6241 + 12*79 + 10) | Furniture > Office Furniture > Desks | No |
| 26870 | 17.227848 | 10.24.4 | 4.24.10 (4*79^2 + 24*79 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | No |
| 1116 | 17.227848 | 10.14 | 14.10 (14*79 + 10) | Furniture > Ottomans | No |
| 5893252 | 17.253165 | 10.22.75.11 | 11.75.22.10 (11*79^3 + 75*79^2 + 22*79 + 10) | No | |
| 721 | 17.253165 | 10.9 | 9.10 (9*79 + 10) | Furniture > Entertainment Centers & TV Stands | No |
| 0 | 21.025323 | 0 | 0 (0) | No | |
| 493039 | 21.025343 | 0.0.0.1 | 1.0.0.0 (493039) | No | |
| -493039 | 21.025345 | -0.0.0.1 | -1.0.0.0 (-(493039)) | No | |
| -35866 | 21.202532 | -0.59.5 | -5.59.0 (-(5*79^2 + 59*79)) | No | |
| -74497 | 21.202532 | -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 1050). 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 |
|---|---|---|---|---|---|---|---|
| 14612 | Vintage Narrow Open Bedside Table - 45cm | 5893252 | BEDSIDE TABLES | 5861721 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | ||
| 14581 | Up and Down Single Tray Side Table - FSC Teak | 493039 | COFFEE TABLES | 461508 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | ||
| 14592 | Vintage Nesting Tables - 60 cm | 493039 | COFFEE TABLES | 461508 | DINING ROOM FURNITURE, MATERIAL:OAK (SOLID TIMBER) | ||
| 13351 | Circa Box Combo - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 43687 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 13361 | Circa Floating Cabinet Module 5 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 43687 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 13362 | Circa Floating Cabinet Module 6 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 43687 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 13353 | Circa Cupboard Combo Type 1 ( 80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 13354 | Circa Cupboard Combo Type 2 (80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 14585 | Up and Down Small Open Sideboard 120cm - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | |
| 14589 | Vintage Chest 120cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | |
| 13009 | Vintage Chest 168cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | |
| 14590 | Vintage Chest 168cm - FSC Recycled Teak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | |
| 13018 | Vintage Tallboy 70 cm - Oak /Teak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | |
| 14599 | Vintage Dining Table 200cm - Satin Black | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE, MATERIAL:OAK (SOLID TIMBER) | |
| 14597 | Vintage Dining Table - 180CM | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE, MATERIAL:OAK (SOLID TIMBER) | |
| 14598 | Vintage Dining Table 200cm - FSC Recycled Teak | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE, MATERIAL:OAK (SOLID TIMBER) | |
| 14615 | Vintage Office Desk 130cm - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS, MATERIAL:OAK (SOLID TIMBER) | |
| 13355 | Circa office desk - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS, MATERIAL:OAK (SOLID TIMBER) | |
| 13367 | Koppar Office Desk 150 cm - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS, MATERIAL:OAK (SOLID TIMBER) | |
| 14573 | Suar Barrel Stool - 30cm | 1116 | Furniture > Ottomans | none | -30415 | FURNITURE, MATERIAL:WOOD | |
| 13402 | Driftwood Drumstool - 30cm | 1116 | Furniture > Ottomans | none | -30415 | FURNITURE, MATERIAL:WOOD | |
| 13401 | Woody Stool Round - 35cm | 1116 | Furniture > Ottomans | none | -30415 | FURNITURE, MATERIAL:WOOD | |
| 14610 | Vintage Low TV Unit 180cm - White Oak | 721 | Furniture > Entertainment Centers & TV Stands | none | -30810 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | |
| 13368 | Koppar Queen Bed Frame With Mini Storage - White Oak | 0 | BEDROOM | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER) | ||
| 13358 | Circa Floating Cabinet Module 4 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | ||
| 13010 | Vintage King Single Bed 213 cm - White Oak | 0 | BEDROOM | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), SIZE: KING SIZE | ||
| 13571 | Up and Down Medium Coffee Table 80cm - White Oak | 0 | COFFEE TABLES | -31531 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | ||
| 14582 | Up and Down Small Coffee Table - White Oak | 0 | COFFEE TABLES | -31531 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | ||
| 13398 | Vintage Tripod Coffee Table 80cm - White Oak | 0 | COFFEE TABLES | -31531 | MATERIAL:OAK (SOLID TIMBER), MATERIAL:TIMBER | ||
| 14607 | Vintage King Bed 200 cm - White Oak | 0 | BEDROOM | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), SIZE: KING SIZE | ||
| 14609 | Vintage King Single Bed 213 cm - Teak | 0 | BEDROOM | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), SIZE: KING SIZE | ||
| 13352 | Circa Floating Cabinet Module 1 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | ||
| 13356 | Circa Floating Cabinet Module 2 - White Oak | 0 | BEDROOM, BEDSIDE TABLES | -31531 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | ||
| 14601 | Vintage Double Bed 197 cm - White Oak | 0 | BEDROOM | -31531 | DOUBLE SIZE, FURNITURE, MATERIAL:OAK (SOLID TIMBER) | ||
| 14602 | Vintage Queen Bed 213 cm - White Oak | 0 | BEDROOM | -31531 | DOUBLE SIZE, FURNITURE, MATERIAL:OAK (SOLID TIMBER) | ||
| 13357 | Circa Floating Bedside Left / Right Groove - White Oak | -35866 | BEDROOM, BEDSIDE TABLES | -67397 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | ||
| 13366 | Circa Media Cabinet 180cm - White Oak | -74497 | BEDROOM, BEDSIDE TABLES | -106028 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), STORAGE CABINET | ||
| 13364 | Circa King Bed Frame White Oak With Fabric Headboard - No Storage | -493039 | BEDROOM | -524570 | FURNITURE, MATERIAL:OAK (SOLID TIMBER), SIZE: KING SIZE |