Fold 4 - Understanding why coefficient -2928893 was selected
Tag: DIAMOND FACE
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 8
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 | 7.028169 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -30673 | 7.042254 | -1.6.6 | -6.6.1 (-(6*71^2 + 6*71 + 1)) | No | |
| -136250 | 7.042254 | -1.2.27 | -27.2.1 (-(27*71^2 + 2*71 + 1)) | No | |
| 0 | 8.000000 | 0 | 0 (0) | No | |
| 2928893 | 8.028169 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| -2761970 | 8.028169 | -70.63.50.7 | -7.50.63.70 (-(7*71^3 + 50*71^2 + 63*71 + 70)) | No | |
| 136250 | 8.028169 | 1.2.27 | 27.2.1 (27*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Sunglasses | No |
| -166923 | 10.000000 | -2.8.33 | -33.8.2 (-(33*71^2 + 8*71 + 2)) | No |
These are the training products that have the "DIAMOND FACE" 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 |
|---|---|---|---|---|---|---|---|
| 9166 | Rue Duroc | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | ROUND, 8MM, ACETATE, DARK TURTLE | 5857786 | MEDIUM, NEW STYLES, OPTICAL | |
| 9168 | Place Blanche | 136250 | Apparel & Accessories > Clothing Accessories > Sunglasses | none | 3065143 | MEDIUM, OPTICAL, ROUND FACE | |
| 9210 | Place Dauphine | 0 | ROUND | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MEDIUM, OPTICAL | |
| 9184 | Place de la Madeleine | 0 | ROUND | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | MEDIUM, OPTICAL | |
| 9212 | Saint Germain | 0 | BLACK, ROUND, 8MM, ACETATE, DARK TURTLE | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | NEW HINGE, OPTICAL | |
| 9167 | Rue de Turenne | -30673 | GOLD, BLACK, 8MM, 22K, ACETATE, DARK TURTLE | 2898220 | MEDIUM, NEW HINGE, NEW STYLES, OPTICAL | ||
| 9186 | Auber | -136250 | ROUND, 22K | 2792643 | MEDIUM, OPTICAL | ||
| 9189 | Theatre | -166923 | GOLD, BLACK, ROUND, 8MM, 22K, ACETATE, DARK TURTLE | 2761970 | MEDIUM, NEW HINGE, NEW STYLES, OPTICAL | ||
| 9150 | AHLEM x JORDEN BICKHAM | -2761970 | OVERSIZED, 8MM, ACETATE | 166923 | MEDIUM, SUNGLASSES | ||
| 9209 | Lille | -2928893 | GOLD, BLACK, 8MM, 22K, ACETATE | 0 | MEDIUM, OPTICAL, ROUND FACE | ||
| 9185 | Place de l'Opéra | -2928893 | BLACK, ROUND | 0 | MEDIUM, OPTICAL |