Fold 3 - 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: 37
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 | 19.139721 | 10.4.5 | 5.4.10 (5*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Dressers | Yes |
| 75218 | 19.140042 | 10.4.12 | 12.4.10 (12*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | No |
| 68977 | 19.140202 | 10.4.11 | 11.4.10 (11*79^2 + 4*79 + 10) | Furniture > Cabinets & Storage > Sideboards | No |
| 26870 | 19.177215 | 10.24.4 | 4.24.10 (4*79^2 + 24*79 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | No |
| 1116 | 19.189873 | 10.14 | 14.10 (14*79 + 10) | Furniture > Ottomans | No |
| 7199 | 19.189873 | 10.12.1 | 1.12.10 (6241 + 12*79 + 10) | Furniture > Office Furniture > Desks | No |
| 721 | 19.215190 | 10.9 | 9.10 (9*79 + 10) | Furniture > Entertainment Centers & TV Stands | No |
| 0 | 23.000010 | 0 | 0 (0) | No | |
| 493039 | 23.000022 | 0.0.0.1 | 1.0.0.0 (493039) | No | |
| -493039 | 23.000024 | -0.0.0.1 | -1.0.0.0 (-(493039)) | No | |
| -5893252 | 32.025316 | -10.22.75.11 | -11.75.22.10 (-(11*79^3 + 75*79^2 + 22*79 + 10)) | No | |
| -5929118 | 32.050633 | -10.2.2.12 | -12.2.2.10 (-(12*79^3 + 2*79^2 + 2*79 + 10)) | No | |
| -5967749 | 32.050633 | -10.17.8.12 | -12.8.17.10 (-(12*79^3 + 8*79^2 + 17*79 + 10)) | No |
These are the training products that have the "COLOUR:OAK" tag (processing sequence 1054). 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 |
|---|---|---|---|---|---|---|---|
| 14581 | Up and Down Single Tray Side Table - FSC Teak | 493039 | COFFEE TABLES | 461508 | none | ||
| 14592 | Vintage Nesting Tables - 60 cm | 493039 | COFFEE TABLES | 461508 | DINING ROOM FURNITURE | ||
| 14583 | Up and Down Single Tray Side Table - White Oak | 493039 | COFFEE TABLES | 461508 | none | ||
| 13361 | Circa Floating Cabinet Module 5 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 43687 | STORAGE CABINET | |
| 13362 | Circa Floating Cabinet Module 6 - White Oak | 75218 | Furniture > Cabinets & Storage > Storage Cabinets & Lockers | none | 43687 | STORAGE CABINET | |
| 13353 | Circa Cupboard Combo Type 1 ( 80cm) - White Oak | 68977 | Furniture > Cabinets & Storage > Sideboards | none | 37446 | STORAGE CABINET | |
| 14589 | Vintage Chest 120cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 13018 | Vintage Tallboy 70 cm - Oak /Teak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 13009 | Vintage Chest 168cm - White Oak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 14590 | Vintage Chest 168cm - FSC Recycled Teak | 31531 | Furniture > Cabinets & Storage > Dressers | none | 0 | none | |
| 14598 | Vintage Dining Table 200cm - FSC Recycled Teak | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE | |
| 14599 | Vintage Dining Table 200cm - Satin Black | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE | |
| 13007 | Vintage Dining Table 200cm - White Oak | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE | |
| 14597 | Vintage Dining Table - 180CM | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | -4661 | DINING ROOM FURNITURE | |
| 14615 | Vintage Office Desk 130cm - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS | |
| 13355 | Circa office desk - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS | |
| 13367 | Koppar Office Desk 150 cm - White Oak | 7199 | Furniture > Office Furniture > Desks | none | -24332 | HOME OFFICE DESKS | |
| 13401 | Woody Stool Round - 35cm | 1116 | Furniture > Ottomans | none | -30415 | MATERIAL:WOOD | |
| 14573 | Suar Barrel Stool - 30cm | 1116 | Furniture > Ottomans | none | -30415 | MATERIAL:WOOD | |
| 14574 | Suar Hourglass Stool - 30cm | 1116 | Furniture > Ottomans | none | -30415 | MATERIAL:WOOD | |
| 14610 | Vintage Low TV Unit 180cm - White Oak | 721 | Furniture > Entertainment Centers & TV Stands | none | -30810 | STORAGE CABINET | |
| 13398 | Vintage Tripod Coffee Table 80cm - White Oak | 0 | COFFEE TABLES | -31531 | none | ||
| 13368 | Koppar Queen Bed Frame With Mini Storage - White Oak | 0 | BEDROOM | -31531 | none | ||
| 14582 | Up and Down Small Coffee Table - White Oak | 0 | COFFEE TABLES | -31531 | none | ||
| 14601 | Vintage Double Bed 197 cm - White Oak | 0 | BEDROOM | -31531 | DOUBLE SIZE | ||
| 14602 | Vintage Queen Bed 213 cm - White Oak | 0 | BEDROOM | -31531 | DOUBLE SIZE | ||
| 14607 | Vintage King Bed 200 cm - White Oak | 0 | BEDROOM | -31531 | SIZE: KING SIZE | ||
| 14609 | Vintage King Single Bed 213 cm - Teak | 0 | BEDROOM | -31531 | SIZE: KING SIZE | ||
| 14612 | Vintage Narrow Open Bedside Table - 45cm | 0 | BEDSIDE TABLES | -31531 | none | ||
| 13010 | Vintage King Single Bed 213 cm - White Oak | 0 | BEDROOM | -31531 | SIZE: KING SIZE | ||
| 13364 | Circa King Bed Frame White Oak With Fabric Headboard - No Storage | -493039 | BEDROOM | -524570 | SIZE: KING SIZE | ||
| 13365 | Circa King Bed Frame with Fabric Headboard and Storage - White Oak | -493039 | BEDROOM | -524570 | none | ||
| 13359 | Circa Floating Cabinet Module 3 - White Oak | -5893252 | BEDROOM, BEDSIDE TABLES | -5924783 | STORAGE CABINET | ||
| 13356 | Circa Floating Cabinet Module 2 - White Oak | -5893252 | BEDROOM, BEDSIDE TABLES | -5924783 | STORAGE CABINET | ||
| 13352 | Circa Floating Cabinet Module 1 - White Oak | -5893252 | BEDROOM, BEDSIDE TABLES | -5924783 | STORAGE CABINET | ||
| 13357 | Circa Floating Bedside Left / Right Groove - White Oak | -5929118 | BEDROOM, BEDSIDE TABLES | -5960649 | STORAGE CABINET | ||
| 13366 | Circa Media Cabinet 180cm - White Oak | -5967749 | BEDROOM, BEDSIDE TABLES | -5999280 | STORAGE CABINET |