Fold 3 - Understanding why coefficient 1472876 was selected
Tag: TROUSERS
Selected Coefficient: 1472876
Taxonomy Path: 0.0.78.2
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 1472876 | 6.000164 | 0.0.78.2 | 2.78.0.0 (2*79^3 + 78*79^2) | Yes | |
| 2458954 | 6.000166 | 0.0.78.4 | 4.78.0.0 (4*79^3 + 78*79^2) | No | |
| 4924149 | 6.000166 | 0.0.78.9 | 9.78.0.0 (9*79^3 + 78*79^2) | No | |
| 31205 | 6.000641 | 0.0.5 | 5.0.0 (5*79^2) | No | |
| -355556091 | 9.000160 | -1.1.12.10.9 | -9.10.12.1.1 (-(9*79^4 + 10*79^3 + 12*79^2 + 79 + 1)) | No | |
| -5997681 | 9.000160 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -6419 | 10.000000 | -20.2.1 | -1.2.20 (-(6241 + 2*79 + 20)) | No | |
| -7064972 | 10.000000 | -2.2.26.14 | -14.26.2.2 (-(14*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| -7551850 | 10.000000 | -3.3.25.15 | -15.25.3.3 (-(15*79^3 + 25*79^2 + 3*79 + 3)) | No | |
| 5498401 | 10.000000 | 1.1.12.11 | 11.12.1.1 (11*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Trousers | No |
These are the training products that have the "TROUSERS" tag (processing sequence 2937). 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 |
|---|---|---|---|---|---|---|---|
| 1030 | Utility Tie Waist Trouser | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none |
| 2336 | Marble White Slim Jeans | 4924149 | FITS SIZE 16, FITS SIZE 18, MARBLE | 3451273 | none | ||
| 1567 | LYNX Organic Cotton Trouser - Purple | 2458954 | SS23 | 986078 | none | ||
| 2407 | Stretch Magic Trousers | 1472876 | FITS SIZE 16 | 0 | none | ||
| 2363 | Pinns Pull On Ankle Grazer Trousers | 1472876 | FITS SIZE 16 | 0 | none | ||
| 2408 | Striped Dungarees | 31205 | DRESSES, FITS SIZE 16 | -1441671 | none | ||
| 2396 | Saloos Sweatshirt & Joggers | -6419 | SWEATSHIRT, AUTUMN, FITS SIZE 16, FITS SIZE 18, KNITWEAR, SALE | -1479295 | SALOOS | ||
| 1067 | Sybil Trogger | -5997681 | GREEN, PANTS | -7470557 | none | ||
| 8139 | ADAM Jogger Mens - GOTS Organic Cotton Teal Green | -7064972 | JOGGERS, GREEN, SS23 | -8537848 | none | ||
| 268 | High Waisted Yoga Leggings | -7551850 | LEGGINGS, PANTS, ALL OVER PRINT, ASSEMBLED IN THE USA, BOTTOMS, SUBLIMATION | -9024726 | none | ||
| 2420 | Suzie Blue Tie Dye Kaftan & Trousers Co-Ord | -355556091 | FITS SIZE 16, JACKETS | -357028967 | none |