Fold 3 - Understanding why coefficient 95495 was selected
Tag: 22K
Selected Coefficient: 95495
Taxonomy Path: 0.67.18
Taxonomy Name:
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 95495 | 7.014085 | 0.67.18 | 18.67.0 (18*71^2 + 67*71) | Yes | |
| 0 | 7.056338 | 0 | 0 (0) | No | |
| 136250 | 8.000000 | 1.2.27 | 27.2.1 (27*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Sunglasses | No |
| -2833398 | 10.000000 | -1.5.65.7 | -7.65.5.1 (-(7*71^3 + 65*71^2 + 5*71 + 1)) | No | |
| -2969648 | 11.000000 | -2.7.21.8 | -8.21.7.2 (-(8*71^3 + 21*71^2 + 7*71 + 2)) | No |
These are the training products that have the "22K" tag (processing sequence 283). 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 |
|---|---|---|---|---|---|---|---|
| 9137 | Place Jussieu Sun | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 40755 | Apparel & Accessories > Jewelry > Necklaces | CUSTOM LENSES, MEDIUM, SS23, SUNGLASSES |
| 9190 | Cométe | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 40755 | Apparel & Accessories > Jewelry > Necklaces | CAT-EYE, CHAMPAGNE, PEONY GOLD, ROUND FACE, WOMEN'S |
| 9213 | Gaillon | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 40755 | Apparel & Accessories > Jewelry > Necklaces | MEDIUM, PEONY GOLD, WOMEN'S |
| 9214 | Gaillon Sun | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 40755 | Apparel & Accessories > Jewelry > Necklaces | CUSTOM LENSES, MEDIUM, NEW HINGE, SS23, SUNGLASSES |
| 9191 | Rue Berthe | 95495 | GOLD | 0 | CAT-EYE, DOWN TRIANGLE FACE, MEDIUM, NEW HINGE | ||
| 9192 | Rue Fabert | 95495 | GOLD | 0 | NEW HINGE, ROUND FACE | ||
| 9206 | Ségur | 95495 | GOLD | 0 | LARGE, NEW HINGE, SQUARE | ||
| 9208 | Rue de Charonne | 95495 | GOLD | 0 | DOWN TRIANGLE FACE, MEDIUM, NEW HINGE | ||
| 9186 | Auber | 0 | ROUND | -95495 | CHAMPAGNE, MEDIUM, PEONY GOLD, WHITE GOLD | ||
| 9209 | Lille | -2833398 | GOLD, BLACK | -2928893 | DOWN TRIANGLE FACE, MEDIUM, ROUND FACE | ||
| 9167 | Rue de Turenne | -2833398 | GOLD, BLACK | -2928893 | DOWN TRIANGLE FACE, MEDIUM, NEW HINGE | ||
| 9189 | Theatre | -2969648 | GOLD, BLACK, ROUND | -3065143 | DOWN TRIANGLE FACE, MEDIUM, NEW HINGE |