Fold 3 - Understanding why coefficient 6372409 was selected
Tag: TROUSERS
Selected Coefficient: 6372409
Taxonomy Path: 1.1.12.11
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 6372409 | 5.000149 | 1.1.12.11 | 11.12.1.1 (11*83^3 + 12*83^2 + 83 + 1) | Yes | |
| 2369900 | 5.000157 | 1.1.12.4 | 4.12.1.1 (4*83^3 + 12*83^2 + 83 + 1) | No | |
| 4085261 | 5.000157 | 1.1.12.7 | 7.12.1.1 (7*83^3 + 12*83^2 + 83 + 1) | No | |
| 192168739 | 5.001161 | 1.1.7.4.4 | 4.4.7.1.1 (4*83^4 + 4*83^3 + 7*83^2 + 83 + 1) | No | |
| 0 | 10.000145 | 0 | 0 (0) | No | |
| 7922715117 | 10.000435 | 0.0.5.78.0.2 | 2.0.78.5.0.0 (2*83^5 + 78*83^3 + 5*83^2) | No | |
| -7144228 | 13.000000 | -3.4.41.12 | -12.41.4.3 (-(12*83^3 + 41*83^2 + 4*83 + 3)) | No |
These are the training products that have the "TROUSERS" tag (processing sequence 4470). 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 |
|---|---|---|---|---|---|---|---|
| 8137 | ADAM Jogger Men's - GOTS Organic Cotton Clay | 7922715117 | JOGGERS | 7916342708 | none | ||
| 27898 | Kyle Wide Leg Jean | 192168739 | none | 185796330 | none | ||
| 27937 | Faux Leather Trouser | 6372409 | none | 0 | none | ||
| 1567 | LYNX Organic Cotton Trouser - Purple | 6372409 | none | 0 | none | ||
| 2363 | Pinns Pull On Ankle Grazer Trousers | 6372409 | none | 0 | none | ||
| 22882 | Charcoal Grey Trousers # | 6372409 | none | 0 | none | ||
| 23042 | Teal Green Rayon Loose Fit Trousers | 6372409 | none | 0 | none | ||
| 1030 | Utility Tie Waist Trouser | 6372409 | none | 0 | none | ||
| 1067 | Sybil Trogger | 4085261 | none | -2287148 | PANTS | ||
| 27906 | Hunter Ankle (over bump) | 2369900 | none | -4002509 | none | ||
| 268 | High Waisted Yoga Leggings | 0 | LEGGINGS | -6372409 | PANTS, ASSEMBLED IN THE USA, BOTTOMS | ||
| 8139 | ADAM Jogger Mens - GOTS Organic Cotton Teal Green | 0 | JOGGERS | -6372409 | none | ||
| 23266 | TAILORED SLIT TROUSERS | 0 | -6372409 | HANDMADE JEWELLERY, JACKET, BLOUSE, COAT | |||
| 31225 | Leo Sweat Utility Cargos | -7144228 | JEGGINGS, JEANS, BASEBALL CAP, JOGGERS | -13516637 | DISTRESSED, HOODED, CARDIGAN, HAT, BOTTOMS |