Fold 1 - Understanding why coefficient 1226833 was selected
Tag: COLOUR:BROWN
Selected Coefficient: 1226833
Taxonomy Path: 10.7.12.2
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 1226833 | 3.012048 | 10.7.12.2 | 2.12.7.10 (2*83^3 + 12*83^2 + 7*83 + 10) | Yes | |
| 1724252 | 3.012048 | 10.24.1.3 | 3.1.24.10 (3*83^3 + 6889 + 24*83 + 10) | No | |
| -49752533 | 4.000000 | -9.2.1.4.1 | -1.4.1.2.9 (-(47458321 + 4*83^3 + 6889 + 2*83 + 9)) | No | |
| 542229 | 4.000000 | 73.58.78 | 78.58.73 (78*83^2 + 58*83 + 73) | No | |
| 49752533 | 4.000000 | 9.2.1.4.1 | 1.4.1.2.9 (47458321 + 4*83^3 + 6889 + 2*83 + 9) | No |
These are the training products that have the "COLOUR:BROWN" tag (processing sequence 5628). 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 |
|---|---|---|---|---|---|---|---|
| 28780 | Chocolate Explosion Cake | 49752533 | none | 48525700 | none | ||
| 14594 | Vintage Console 1 Shelf - 120cm | 1724252 | none | 497419 | none | ||
| 13347 | Kipa Stool 30cm - Teak | 1226833 | none | 0 | MATERIAL:WOOD | ||
| 14592 | Vintage Nesting Tables - 60 cm | 542229 | COFFEE TABLES, DINING ROOM FURNITURE | -684604 | none | ||
| 28736 | Dog Playing Cake | -49752533 | 13TH, 1ST | -50979366 | KID |