Fold 3 - Understanding why coefficient -2928893 was selected
Tag: DOWN TRIANGLE FACE
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| -2928893 | 6.042254 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -136250 | 6.070423 | -1.2.27 | -27.2.1 (-(27*71^2 + 2*71 + 1)) | No | |
| -5721536 | 6.070423 | -1.0.70.15 | -15.70.0.1 (-(15*71^3 + 70*71^2 + 1)) | No | |
| -2833398 | 6.070423 | -1.5.65.7 | -7.65.5.1 (-(7*71^3 + 65*71^2 + 5*71 + 1)) | No | |
| 0 | 8.028169 | 0 | 0 (0) | No | |
| -2792643 | 8.042254 | -0.70.56.7 | -7.56.70.0 (-(7*71^3 + 56*71^2 + 70*71)) | No | |
| 95495 | 8.042254 | 0.67.18 | 18.67.0 (18*71^2 + 67*71) | No | |
| 231745 | 11.000000 | 1.69.45 | 45.69.1 (45*71^2 + 69*71 + 1) | No | |
| -3065143 | 11.000000 | -2.3.40.8 | -8.40.3.2 (-(8*71^3 + 40*71^2 + 3*71 + 2)) | No |
These are the training products that have the "DOWN TRIANGLE FACE" tag (processing sequence 1061). 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 |
|---|---|---|---|---|---|---|---|
| 9168 | Place Blanche | 231745 | CHAMPAGNE | 3160638 | MEDIUM, ROUND FACE, WHITE GOLD, SQUARE | ||
| 9184 | Place de la Madeleine | 95495 | ROUND, CHAMPAGNE | 3024388 | MEDIUM, PEONY GOLD, WHITE GOLD | ||
| 9208 | Rue de Charonne | 0 | GOLD, 22K | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MEDIUM, NEW HINGE | |
| 9166 | Rue Duroc | 0 | ROUND | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MEDIUM | |
| 9191 | Rue Berthe | -136250 | GOLD, 22K, CAT-EYE | 2792643 | MEDIUM, NEW HINGE | ||
| 9188 | Place de la Concorde | -2792643 | OVERSIZED | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | GEOMETRIC, WHITE GOLD | |
| 9185 | Place de l'Opéra | -2833398 | BLACK, ROUND, CHAMPAGNE | 95495 | MEDIUM | ||
| 9212 | Saint Germain | -2928893 | BLACK, ROUND | 0 | NEW HINGE | ||
| 9167 | Rue de Turenne | -2928893 | GOLD, BLACK, 22K | 0 | MEDIUM, NEW HINGE | ||
| 9209 | Lille | -2928893 | GOLD, BLACK, 22K | 0 | MEDIUM, ROUND FACE | ||
| 9189 | Theatre | -3065143 | GOLD, BLACK, ROUND, 22K | -136250 | MEDIUM, NEW HINGE | ||
| 9207 | Jaurès | -5721536 | BLACK, OVERSIZED | -2792643 | NEW HINGE, ROUND FACE, SQUARE |