Fold 0 - Understanding why coefficient -1972156 was selected
Tag: TROUSERS
Selected Coefficient: -1972156
Taxonomy Path: -0.0.0.4
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| -1972156 | 5.000325 | -0.0.0.4 | -4.0.0.0 (-(4*79^3)) | Yes | |
| 1972156 | 5.000325 | 0.0.0.4 | 4.0.0.0 (4*79^3) | No | |
| 0 | 5.000325 | 0 | 0 (0) | No | |
| -624181133 | 5.000641 | -0.0.78.1.16 | -16.1.78.0.0 (-(16*79^4 + 493039 + 78*79^2)) | No | |
| 31205 | 5.000641 | 0.0.5 | 5.0.0 (5*79^2) | No | |
| 5498401 | 7.000002 | 1.1.12.11 | 11.12.1.1 (11*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Trousers | No |
| 2047128 | 7.000004 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
| -7058731 | 9.000000 | -2.2.25.14 | -14.25.2.2 (-(14*79^3 + 25*79^2 + 2*79 + 2)) | No | |
| -5997681 | 9.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "TROUSERS" tag (processing sequence 4161). 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 |
|---|---|---|---|---|---|---|---|
| 2363 | Pinns Pull On Ankle Grazer Trousers | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none | 7470557 | none | |
| 2407 | Stretch Magic Trousers | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none | 7470557 | none | |
| 2336 | Marble White Slim Jeans | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 4019284 | Apparel & Accessories > Clothing > Pants > Leggings | MARBLE |
| 1567 | LYNX Organic Cotton Trouser - Purple | 1972156 | ORGANIC COTTON | 3944312 | none | ||
| 2408 | Striped Dungarees | 31205 | DRESSES | 2003361 | none | ||
| 8139 | ADAM Jogger Mens - GOTS Organic Cotton Teal Green | 0 | ORGANIC COTTON | 1972156 | none | ||
| 1067 | Sybil Trogger | -1972156 | PANTS | 0 | none | ||
| 2396 | Saloos Sweatshirt & Joggers | -5997681 | SALOOS, KNITWEAR | -4025525 | none | ||
| 268 | High Waisted Yoga Leggings | -7058731 | WOMEN'S CLOTHING, LEGGINGS, PANTS, AOP CLOTHING | -5086575 | ASSEMBLED IN THE USA, BOTTOMS | ||
| 2420 | Suzie Blue Tie Dye Kaftan & Trousers Co-Ord | -624181133 | JACKETS | -622208977 | none |