Fold 0 - Understanding why coefficient -2898220 was selected
Tag: DIAMOND FACE
Selected Coefficient: -2898220
Taxonomy Path: -0.66.6.8
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| -2898220 | 3.070423 | -0.66.6.8 | -8.6.66.0 (-(8*71^3 + 6*71^2 + 66*71)) | Yes | |
| -2792643 | 3.070423 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | No | |
| 2792643 | 3.070423 | 0.70.56.7 | 7.56.70.0 (7*71^3 + 56*71^2 + 70*71) | No | |
| 4304659 | 3.070423 | 0.66.1.12 | 12.1.66.0 (12*71^3 + 5041 + 66*71) | No | |
| 7097302 | 3.070423 | 0.65.58.19 | 19.58.65.0 (19*71^3 + 58*71^2 + 65*71) | No | |
| 0 | 3.070423 | 0 | 0 (0) | No | |
| -136250 | 7.014085 | -1.2.27 | -27.2.1 (-(27*71^2 + 2*71 + 1)) | No | |
| 1375766 | 7.014085 | 70.64.59.3 | 3.59.64.70 (3*71^3 + 59*71^2 + 64*71 + 70) | No | |
| 5721536 | 8.000000 | 1.0.70.15 | 15.70.0.1 (15*71^3 + 70*71^2 + 1) | No |
These are the training products that have the "DIAMOND FACE" tag (processing sequence 1039). 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 | 7097302 | BLACK, GOLD, ROUND, 8MM, DARK TURTLE | 9995522 | MEDIUM, NEW STYLES, OPTICAL | ||
| 9208 | Rue de Charonne | 5721536 | GOLD, 8MM, DARK TURTLE | 8619756 | MEDIUM, OPTICAL | ||
| 9210 | Place Dauphine | 4304659 | ROUND, CHAMPAGNE | 7202879 | MEDIUM, OPTICAL, PEONY GOLD | ||
| 9167 | Rue de Turenne | 2792643 | BLACK, GOLD, 8MM, DARK TURTLE | 5690863 | MEDIUM, NEW STYLES, OPTICAL | ||
| 9185 | Place de l'Opéra | 1375766 | BLACK, ROUND, CHAMPAGNE | 4273986 | MEDIUM, OPTICAL | ||
| 9168 | Place Blanche | 0 | CHAMPAGNE | 2898220 | MEDIUM, OPTICAL, ROUND FACE, SQUARE | ||
| 9191 | Rue Berthe | -136250 | GOLD, 8MM, CAT-EYE | 2761970 | MEDIUM, NEW STYLES, OPTICAL | ||
| 9188 | Place de la Concorde | -2792643 | OVERSIZED | 105577 | OPTICAL | ||
| 9150 | AHLEM x JORDEN BICKHAM | -2898220 | OVERSIZED, 8MM | 0 | MEDIUM, SUNGLASSES |