Fold 1 - Understanding why coefficient -2792643 was selected
Tag: DARK TURTLE
Selected Coefficient: -2792643
Taxonomy Path: -0.70.56.7
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -2792643 | 2.042254 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | Yes | |
| -105577 | 2.042254 | -0.67.20 | -20.67.0 (-(20*71^2 + 67*71)) | No | |
| 0 | 2.042254 | 0 | 0 (0) | No | |
| 105577 | 2.042254 | 0.67.20 | 20.67.0 (20*71^2 + 67*71) | No | |
| -3034470 | 4.014085 | -1.68.33.8 | -8.33.68.1 (-(8*71^3 + 33*71^2 + 68*71 + 1)) | No | |
| -2928893 | 4.014085 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No |
These are the training products that have the "DARK TURTLE" tag (processing sequence 1029). 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 |
|---|---|---|---|---|---|---|---|
| 9206 | Ségur | 105577 | GOLD | 2898220 | LARGE, NEW HINGE | ||
| 9208 | Rue de Charonne | 0 | GOLD, 8MM | 2792643 | DOWN TRIANGLE FACE, MEDIUM, NEW HINGE | ||
| 9166 | Rue Duroc | -105577 | ROUND, 8MM | 2687066 | DOWN TRIANGLE FACE, MEDIUM | ||
| 9207 | Jaurès | -2792643 | BLACK | 0 | DOWN TRIANGLE FACE, NEW HINGE, ROUND FACE | ||
| 9167 | Rue de Turenne | -2928893 | BLACK, GOLD, 8MM | -136250 | DOWN TRIANGLE FACE, MEDIUM, NEW HINGE | ||
| 9212 | Saint Germain | -3034470 | BLACK, ROUND, 8MM | -241827 | DOWN TRIANGLE FACE, NEW HINGE |