Fold 2 - Understanding why coefficient 21878 was selected
Tag: 4-6-PEOPLE
Selected Coefficient: 21878
Taxonomy Path: 10.24.4
Taxonomy Name: Furniture > Tables > Kitchen & Dining Room Tables
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 21878 | 0.028169 | 10.24.4 | 4.24.10 (4*71^2 + 24*71 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | Yes |
| 15843 | 0.098592 | 10.10.3 | 3.10.10 (3*71^2 + 10*71 + 10) | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | No |
These are the training products that have the "4-6-PEOPLE" tag (processing sequence 321). 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 |
|---|---|---|---|---|---|---|---|
| 10422 | QW Amish Knoxville Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10038 | QW Amish Tulsa Cabinet Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10096 | QW Amish Saratoga Pedestal Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10420 | QW Amish Lexington Twist Pedestal Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 9477 | QW Amish Addison Single Pedestal Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10144 | QW Amish Paris Trestle Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10418 | QW Amish Lexington Twist Trestle Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 10121 | QW Amish Newbury 7pc Dining Set | 15843 | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | none | -6035 | BT:16 | |
| 10419 | QW Amish Lexington Twist 5pc Dining Set | 15843 | Furniture > Furniture Sets > Kitchen & Dining Furniture Sets | none | -6035 | BT:16 |