Fold 0 - Understanding why coefficient 99008792 was selected
Tag: SLOW FASHION
Selected Coefficient: 99008792
Taxonomy Path: 1.1.13.7.2
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? |
|---|---|---|---|---|---|
| 99008792 | 2.000147 | 1.1.13.7.2 | 2.7.13.1.1 (2*83^4 + 7*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 6951085 | 2.000147 | 1.1.13.12 | 12.13.1.1 (12*83^3 + 13*83^2 + 83 + 1) | No | |
| 27640 | 2.000290 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | No | |
| -27640 | 4.000000 | -1.1.4 | -4.1.1 (-(4*83^2 + 83 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "SLOW FASHION" tag (processing sequence 4008). 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 |
|---|---|---|---|---|---|---|---|
| 23252 | Silk Prince Shirt I | 99008792 | none | 0 | LONDON DESIGNER | ||
| 23248 | Rosas Tulle Jumper | 6951085 | none | -92057707 | LONDON DESIGNER | ||
| 23247 | Rosas Tulle Dress | 27640 | none | -98981152 | none | ||
| 23250 | Sergio Max Jumper Dress | 0 | MAXI DRESS | -99008792 | LONDON DESIGNER | ||
| 23254 | Silky Slip Dress | -27640 | SLIP DRESS, MAXI DRESS | -99036432 | LONDON DESIGNER, SPRING SUMMER |