Fold 4 - Understanding why coefficient -661428 was selected
Tag: AMERICA
Selected Coefficient: -661428
Taxonomy Path: -1.1.13.1
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| -661428 | 8.000294 | -1.1.13.1 | -1.13.1.1 (-(571787 + 13*83^2 + 83 + 1)) | Yes | |
| 2197507 | 8.000294 | 82.81.69.3 | 3.69.81.82 (3*83^3 + 69*83^2 + 81*83 + 82) | No | |
| -4663937 | 8.000294 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No | |
| -95495402 | 8.000435 | -1.1.1.1.2 | -2.1.1.1.1 (-(2*83^4 + 571787 + 6889 + 83 + 1)) | No | |
| -285301054 | 11.000000 | -8.0.80.0.6 | -6.0.80.0.8 (-(6*83^4 + 80*83^2 + 8)) | No | |
| 0 | 11.000000 | 0 | 0 (0) | No | |
| 1584218 | 12.000000 | 80.79.63.2 | 2.63.79.80 (2*83^3 + 63*83^2 + 79*83 + 80) | No | |
| -613289 | 12.000000 | -2.2.6.1 | -1.6.2.2 (-(571787 + 6*83^2 + 2*83 + 2)) | No | |
| 2810796 | 12.000000 | 1.1.76.4 | 4.76.1.1 (4*83^3 + 76*83^2 + 83 + 1) | No | |
| 8046520 | 12.000000 | 2.2.6.14 | 14.6.2.2 (14*83^3 + 6*83^2 + 2*83 + 2) | No |
These are the training products that have the "AMERICA" tag (processing sequence 6813). 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 |
|---|---|---|---|---|---|---|---|
| 24647 | Patriotic Embroidered RUN Flowy Tank | 8046520 | PATRIOTIC | 8707948 | none | ||
| 42 | Patriotic ‘AMERICA’ Bikini | 2810796 | BIKINI, PATRIOTIC | 3472224 | none | ||
| 22160 | We Salute Dog Bandana | 2197507 | FOURTH OF JULY, DOG BANDANA, PATRIOTIC | 2858935 | none | ||
| 17657 | Liberty Floral Dog Bandana | 1584218 | GIRLY, FOURTH OF JULY, DOG BANDANA, PATRIOTIC | 2245646 | none | ||
| 11986 | Oh My Stars! Ribbon Belt | 0 | RIBBON BELTS | 661428 | none | ||
| 25330 | Minifig Suppressed 45 ACP | 0 | SMALL WEAPONS | 661428 | none | ||
| 22165 | USA Popsicles Dog Bandana | -613289 | FOURTH OF JULY, DOG BANDANA | 48139 | none | ||
| 44 | Patriotic ‘AMERICA’ Women’s Crop Tee | -661428 | SHIRT, PATRIOTIC, CROP TOP | 0 | none | ||
| 31917 | Long Live America | Dark Blue | Short Sleeve Tee | -4663937 | SHORT-SLEEVE, SHOP ALL | -4002509 | WHOLESALE | ||
| 46 | Patriotic ‘Thin Blue America’ Capri Leggings | -95495402 | YOGA PANTS, LEGGINGS | -94833974 | none | ||
| 43 | Patriotic ‘AMERICA’ Capri Leggings | -95495402 | YOGA PANTS, LEGGINGS | -94833974 | none | ||
| 11965 | Leather Heritage Belt - Dark Brown | -285301054 | BELTS | -284639626 | none | ||
| 11966 | Leather Heritage Belt - Light Brown | -285301054 | BELTS | -284639626 | none |