Fold 4 - Understanding why coefficient 105577 was selected
Tag: 8MM
Selected Coefficient: 105577
Taxonomy Path: 0.67.20
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 105577 | 5.028169 | 0.67.20 | 20.67.0 (20*71^2 + 67*71) | Yes | |
| -2823316 | 5.028169 | -1.5.63.7 | -7.63.5.1 (-(7*71^3 + 63*71^2 + 5*71 + 1)) | No | |
| -2928893 | 5.028367 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2938975 | 5.028367 | -1.1.15.8 | -8.15.1.1 (-(8*71^3 + 15*71^2 + 71 + 1)) | No | |
| -2792643 | 5.042254 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | No | |
| 0 | 5.042254 | 0 | 0 (0) | No | |
| -2959566 | 8.000000 | -2.7.19.8 | -8.19.7.2 (-(8*71^3 + 19*71^2 + 7*71 + 2)) | No |
These are the training products that have the "8MM" tag (processing sequence 102). 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 |
|---|---|---|---|---|---|---|---|
| 9193 | Rue Amélie | 105577 | GOLD | 0 | 22K, ACETATE, NEW HINGE, NEW STYLES, OPTICAL, ROUND FACE | ||
| 9192 | Rue Fabert | 105577 | GOLD | 0 | 22K, ACETATE, NEW HINGE, NEW STYLES, OPTICAL, ROUND FACE | ||
| 9166 | Rue Duroc | 0 | ROUND | -105577 | ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES, OPTICAL | ||
| 9150 | AHLEM x JORDEN BICKHAM | -2792643 | OVERSIZED | -2898220 | ACETATE, DIAMOND FACE, MEDIUM, SUNGLASSES | ||
| 9167 | Rue de Turenne | -2823316 | GOLD, BLACK | -2928893 | 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW HINGE, NEW STYLES, OPTICAL | ||
| 9209 | Lille | -2823316 | GOLD, BLACK | -2928893 | 22K, ACETATE, DIAMOND FACE, MEDIUM, OPTICAL, ROUND FACE | ||
| 9212 | Saint Germain | -2928893 | BLACK, ROUND | -3034470 | ACETATE, DARK TURTLE, DIAMOND FACE, NEW HINGE, OPTICAL | ||
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | -2938975 | BLACK, SILVER | -3044552 | RING | ||
| 9189 | Theatre | -2959566 | GOLD, BLACK, ROUND | -3065143 | 22K, ACETATE, DARK TURTLE, DIAMOND FACE, MEDIUM, NEW HINGE, NEW STYLES, OPTICAL |