Fold 3 - Understanding why coefficient 7816 was selected
Tag: CHRISTMAS GIFT IDEAS
Selected Coefficient: 7816
Taxonomy Path: 14.11.1
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 7816 | 3.000290 | 14.11.1 | 1.11.14 (6889 + 11*83 + 14) | Yes | |
| 69817 | 3.000290 | 14.11.10 | 10.11.14 (10*83^2 + 11*83 + 14) | No | |
| 25786454 | 3.000290 | 14.11.8.45 | 45.8.11.14 (45*83^3 + 8*83^2 + 11*83 + 14) | No | |
| -392936 | 4.000000 | -14.3.57 | -57.3.14 (-(57*83^2 + 3*83 + 14)) | No | |
| 32509856 | 5.000000 | 1.8.71.56 | 56.71.8.1 (56*83^3 + 71*83^2 + 8*83 + 1) | No |
These are the training products that have the "CHRISTMAS GIFT IDEAS" tag (processing sequence 6101). 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 |
|---|---|---|---|---|---|---|---|
| 3173 | Tea Towel & SPRUCE Cloth Gorgeous Gift Sets by The Green Collective | 32509856 | GIFT SET | 32502040 | COMPOSTABLE, LAUNDRY | ||
| 3020 | Caliwoods Coconut Wood Cutlery - ON SALE! | 25786454 | none | 25778638 | WOODEN | ||
| 3174 | The Green Collective XOXO Tea Towel | 69817 | none | 62001 | LAUNDRY | ||
| 3087 | Earthware Natural Bamboo Straws | 7816 | none | 0 | none | ||
| 5353 | HANDMADE MOSAIC 9 BIG GLOBES DIFFERENT COLOR ARRANGEMENTS | -392936 | TURKISH LAMPS, RR_TRACK_LAMPS, BOHEMIAN STYLE, HOME GOODS | -400752 | none | ||
| 5362 | *HANDMADE* MOSAIC 11 BIG GLOBES DIFFERENT COLOR ARRANGEMENTS | -392936 | TURKISH LAMPS, RR_TRACK_LAMPS, BOHEMIAN STYLE, HOME GOODS | -400752 | none |