Fold 4 - Understanding why coefficient 15843 was selected
Tag: FURNITURE
Selected Coefficient: 15843
Taxonomy Path: 10.10.3
Taxonomy Name: Furniture > Furniture Sets > Kitchen & Dining Furniture Sets
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 15843 | 3.042254 | 10.10.3 | 3.10.10 (3*71^2 + 10*71 + 10) | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | Yes |
| 10944 | 3.056338 | 10.12.2 | 2.12.10 (2*71^2 + 12*71 + 10) | Furniture > Office Furniture > Office Chairs | No |
| 21878 | 3.056338 | 10.24.4 | 4.24.10 (4*71^2 + 24*71 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | No |
| 45876 | 3.056338 | 10.7.9 | 9.7.10 (9*71^2 + 7*71 + 10) | Furniture > Chairs > Kitchen & Dining Room Chairs | No |
| 0 | 5.014085 | 0 | 0 (0) | No | |
| 45227 | 5.028169 | 0.69.8 | 8.69.0 (8*71^2 + 69*71) | No |
These are the training products that have the "FURNITURE" tag (processing sequence 1232). 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 |
|---|---|---|---|---|---|---|---|
| 5956 | Set Of 4 Leather Dining Chair Soft Backrest | 45876 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 30033 | none | |
| 9550 | Set Of 4 Extravagant Leather Upholstered Dining Chair | 45227 | 2 WEEKS DELIVERY | 29384 | none | ||
| 9584 | Vintage European Marble Top Design Golden Dining Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 6035 | none | |
| 5965 | Glossy Finish Extended Wooden Dining Table Set | 15843 | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | none | 0 | none | |
| 9592 | Modern Style Marble Top Wooden Dining Table Set | 15843 | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | none | 0 | none | |
| 9755 | HON Ignition Low-Back Task Chair | 10944 | Furniture > Office Furniture > Office Chairs | none | -4899 | none | |
| 9583 | Set Of 2 Stylish Lounge Modern Fabric Chair | 0 | CHAIRS | -15843 | none | ||
| 9590 | Modern High Gloss 2 Piece Floating TV Stand | 0 | 2 WEEKS DELIVERY | -15843 | none |