Fold 1 - Understanding why coefficient 4581277 was selected
Tag: BELOW $50
Selected Coefficient: 4581277
Taxonomy Path: 9.1.1.8
Taxonomy Name: Food, Beverages & Tobacco > Beverages > Alcoholic Beverages > Sake
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 4581277 | 3.000003 | 9.1.1.8 | 8.1.1.9 (8*83^3 + 6889 + 83 + 9) | Food, Beverages & Tobacco > Beverages > Alcoholic Beverages > Sake | Yes |
| 578768 | 3.000005 | 9.1.1.1 | 1.1.1.9 (571787 + 6889 + 83 + 9) | No | |
| 4009490 | 3.000005 | 9.1.1.7 | 7.1.1.9 (7*83^3 + 6889 + 83 + 9) | No | |
| 0 | 4.012048 | 0 | 0 (0) | No | |
| -280761278 | 4.024096 | -0.1.2.76.5 | -5.76.2.1.0 (-(5*83^4 + 76*83^3 + 2*83^2 + 83)) | No |
These are the training products that have the "BELOW $50" tag (processing sequence 3203). 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 |
|---|---|---|---|---|---|---|---|
| 20815 | Senkin Modern Kame no O Junmai Daiginjo 720ml | 4581277 | Food, Beverages & Tobacco > Beverages > Alcoholic Beverages > Sake | none | 0 | none | |
| 20726 | Sawa Sparkling Sake 250ml | 4581277 | Food, Beverages & Tobacco > Beverages > Alcoholic Beverages > Sake | none | 0 | none | |
| 20762 | Kojika Umeshu (Plum Wine) 720ml | 4009490 | none | -571787 | PLUMWINE | ||
| 20819 | Yamaguchi Strawberry Beer 330ml | 578768 | none | -4002509 | none | ||
| 20770 | Gozenshu Junmai Daiginjo Kei 300ml | 0 | BOTTLE SIZE_300ML | -4581277 | none | ||
| 20793 | Tentaka Junmai Daiginjo Kokoro 300ml | 0 | BOTTLE SIZE_300ML | -4581277 | none | ||
| 20745 | Koshigoi Ichigo-shu (Strawberry-shu) 500ml | -280761278 | STRAWBERRY | -285342555 | BOTTLE SIZE_500ML |