Fold 0 - Understanding why coefficient 45876 was selected
Tag: BT:16
Selected Coefficient: 45876
Taxonomy Path: 10.7.9
Taxonomy Name: Furniture > Chairs > Kitchen & Dining Room Chairs
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 45876 | 2.000000 | 10.7.9 | 9.7.10 (9*71^2 + 7*71 + 10) | Furniture > Chairs > Kitchen & Dining Room Chairs | Yes |
| -6035 | 3.000000 | -0.14.1 | -1.14.0 (-(5041 + 14*71)) | No |
These are the training products that have the "BT:16" tag (processing sequence 794). 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 |
|---|---|---|---|---|---|---|---|
| 9638 | QW Amish Newbury Arm Chair | 45876 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none | |
| 9721 | QW Amish Newbury Side Chair | 45876 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none | |
| 9998 | QW Amish Canterbury Side Chair | 45876 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none | |
| 10121 | QW Amish Newbury 7pc Dining Set | -6035 | 4-6-PEOPLE | -51911 | none | ||
| 10419 | QW Amish Lexington Twist 5pc Dining Set | -6035 | 4-6-PEOPLE | -51911 | none |