Fold 0 - Understanding why coefficient -67861 was selected
Tag: MATERIAL:WOOD
Selected Coefficient: -67861
Taxonomy Path: -0.69.10
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -67861 | 0.063291 | -0.69.10 | -10.69.0 (-(10*79^2 + 69*79)) | Yes | |
| -4899027 | 0.088608 | -0.77.73.9 | -9.73.77.0 (-(9*79^3 + 73*79^2 + 77*79)) | No | |
| 0 | 0.088608 | 0 | 0 (0) | No | |
| -5824275 | 0.101266 | -0.18.64.11 | -11.64.18.0 (-(11*79^3 + 64*79^2 + 18*79)) | No |
These are the training products that have the "MATERIAL:WOOD" tag (processing sequence 2000). 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 |
|---|---|---|---|---|---|---|---|
| 13400 | Woody Round Bar Table - 80cm | 0 | DINING ROOM FURNITURE | 67861 | none | ||
| 13008 | Woody Round Dining Table - 80cm | 0 | DINING ROOM FURNITURE | 67861 | none | ||
| 13402 | Driftwood Drumstool - 30cm | -67861 | COLOUR:OAK | 0 | none | ||
| 13401 | Woody Stool Round - 35cm | -67861 | COLOUR:OAK | 0 | none | ||
| 14573 | Suar Barrel Stool - 30cm | -67861 | COLOUR:OAK | 0 | none | ||
| 14574 | Suar Hourglass Stool - 30cm | -67861 | COLOUR:OAK | 0 | none | ||
| 13334 | Obie Side Table 35cm - Teak | -4899027 | LIVING ROOM FURNITURE | -4831166 | none | ||
| 13574 | Ridge Side Table - 30cm | -4899027 | LIVING ROOM FURNITURE | -4831166 | none | ||
| 14614 | Woody Work Station 130cm - Teak | -5824275 | HOME OFFICE DESKS, LIVING ROOM FURNITURE | -5756414 | none |