Fold 0 - Understanding why coefficient 105577 was selected
Tag: 8MM
Selected Coefficient: 105577
Taxonomy Path: 0.67.20
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 105577 | 3.014085 | 0.67.20 | 20.67.0 (20*71^2 + 67*71) | Yes | |
| -2792643 | 3.056338 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | No | |
| -2823316 | 6.014085 | -1.5.63.7 | -7.63.5.1 (-(7*71^3 + 63*71^2 + 5*71 + 1)) | No | |
| 1481343 | 6.014085 | 70.60.9.4 | 4.9.60.70 (4*71^3 + 9*71^2 + 60*71 + 70) | No | |
| -2852439 | 7.000000 | -14.60.68.7 | -7.68.60.14 (-(7*71^3 + 68*71^2 + 60*71 + 14)) | No |
These are the training products that have the "8MM" tag (processing sequence 92). 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 |
|---|---|---|---|---|---|---|---|
| 9189 | Theatre | 1481343 | BLACK, GOLD, ROUND | 1375766 | DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES, OPTICAL | ||
| 9208 | Rue de Charonne | 105577 | GOLD | 0 | DARK TURTLE, DIAMOND FACE, MEDIUM, OPTICAL | ||
| 9191 | Rue Berthe | 105577 | GOLD | 0 | CAT-EYE, DIAMOND FACE, MEDIUM, NEW STYLES, OPTICAL | ||
| 9192 | Rue Fabert | 105577 | GOLD | 0 | NEW STYLES, OPTICAL, ROUND FACE | ||
| 9193 | Rue Amélie | 105577 | GOLD | 0 | NEW STYLES, OPTICAL, ROUND FACE | ||
| 9150 | AHLEM x JORDEN BICKHAM | -2792643 | OVERSIZED | -2898220 | DIAMOND FACE, MEDIUM, SUNGLASSES | ||
| 9167 | Rue de Turenne | -2823316 | BLACK, GOLD | -2928893 | DARK TURTLE, DIAMOND FACE, MEDIUM, NEW STYLES, OPTICAL | ||
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | -2852439 | BLACK, SILVER | -2958016 | WOMEN, RING |