Fold 4 - Understanding why coefficient 6372409 was selected
Tag: TROUSERS
Selected Coefficient: 6372409
Taxonomy Path: 1.1.12.11
Taxonomy Name:
Products with this tag: 18
Unique residual values tried: 10
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 | 8.000296 | 1.1.12.11 | 11.12.1.1 (11*83^3 + 12*83^2 + 83 + 1) | Yes | |
| 4085261 | 8.000301 | 1.1.12.7 | 7.12.1.1 (7*83^3 + 12*83^2 + 83 + 1) | No | |
| 2369900 | 8.000303 | 1.1.12.4 | 4.12.1.1 (4*83^3 + 12*83^2 + 83 + 1) | No | |
| 192168739 | 8.001306 | 1.1.7.4.4 | 4.4.7.1.1 (4*83^4 + 4*83^3 + 7*83^2 + 83 + 1) | No | |
| 75863 | 8.001306 | 1.1.11 | 11.1.1 (11*83^2 + 83 + 1) | No | |
| 0 | 12.000290 | 0 | 0 (0) | No | |
| 7922715117 | 12.000582 | 0.0.5.78.0.2 | 2.0.78.5.0.0 (2*83^5 + 78*83^3 + 5*83^2) | No | |
| 34445 | 12.000582 | 0.0.5 | 5.0.0 (5*83^2) | No | |
| -2369900 | 17.000000 | -1.1.12.4 | -4.12.1.1 (-(4*83^3 + 12*83^2 + 83 + 1)) | No | |
| -24711665 | 17.000000 | -75.9.18.43 | -43.18.9.75 (-(43*83^3 + 18*83^2 + 9*83 + 75)) | No |
These are the training products that have the "TROUSERS" tag (processing sequence 5984). 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 | SIZE-EXTRA-LARGE | ||
| 27898 | Kyle Wide Leg Jean | 192168739 | none | 185796330 | none | ||
| 27775 | Alex Pant | 6372409 | none | 0 | none | ||
| 22882 | Charcoal Grey Trousers # | 6372409 | none | 0 | none | ||
| 23042 | Teal Green Rayon Loose Fit Trousers | 6372409 | none | 0 | none | ||
| 2407 | Stretch Magic Trousers | 6372409 | none | 0 | none | ||
| 1567 | LYNX Organic Cotton Trouser - Purple | 6372409 | none | 0 | none | ||
| 1067 | Sybil Trogger | 4085261 | none | -2287148 | none | ||
| 23024 | Charcoal Grey Joggers | 4085261 | none | -2287148 | none | ||
| 27906 | Hunter Ankle (over bump) | 2369900 | none | -4002509 | none | ||
| 2420 | Suzie Blue Tie Dye Kaftan & Trousers Co-Ord | 75863 | none | -6296546 | JACKETS | ||
| 2408 | Striped Dungarees | 34445 | DRESSES | -6337964 | none | ||
| 268 | High Waisted Yoga Leggings | 0 | LEGGINGS | -6372409 | SPORTSWEAR, BOTTOMS, ASSEMBLED IN THE USA | ||
| 1030 | Utility Tie Waist Trouser | 0 | LINEN | -6372409 | none | ||
| 2336 | Marble White Slim Jeans | 0 | FITS SIZE 18 | -6372409 | none | ||
| 8139 | ADAM Jogger Mens - GOTS Organic Cotton Teal Green | 0 | JOGGERS | -6372409 | SIZE-EXTRA-LARGE | ||
| 2396 | Saloos Sweatshirt & Joggers | -2369900 | SWEATSHIRT, KNITWEAR, SALOOS, FITS SIZE 18 | -8742309 | none | ||
| 31225 | Leo Sweat Utility Cargos | -24711665 | JEGGINGS, JEANS, BASEBALL CAP, KNITWEAR, DISTRESSED, JOGGERS, CARDIGAN, HAT | -31084074 | BOTTOMS |