Fold 0 - Understanding why coefficient 178 was selected
Tag: 0807
Selected Coefficient: 178
Taxonomy Path: 20.2
Taxonomy Name: Religious & Ceremonial > Religious Items
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 178 | 6.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | Yes |
| -362051 | 8.000000 | -73.0.58 | -58.0.73 (-(58*79^2 + 73)) | No | |
| -25120 | 10.000000 | -77.1.4 | -4.1.77 (-(4*79^2 + 79 + 77)) | No | |
| 16 | 10.000000 | 16 | 16 (16) | Mature | No |
| 312139 | 10.000000 | 10.1.50 | 50.1.10 (50*79^2 + 79 + 10) | No |
These are the training products that have the "0807" tag (processing sequence 227). 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 |
|---|---|---|---|---|---|---|---|
| 12901 | Hug Me First Black and White Mini Sign 12" x 18" | 312139 | SIGN | 311961 | none | ||
| 12916 | Missionary Called to Serve Color Balloon 17" | 1 ct | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 12918 | Missionary Mathew 28:19 Scripture Black and White Balloon 17" | 1 ct | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 12921 | Missionary Welcome Home Name Tag Balloon 18" | 1 ct | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 12922 | Missionary Welcome Home Yard Sign 24" x 18" | 1 ct | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 13441 | Missionary Called to Serve Yard Sign 24"x 18" | 1 ct | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 13219 | Color Hug Me First Mini Sign 12" x 18" | 1 ct | 16 | Mature | SIGN | -162 | none | |
| 12996 | Future Missionary Tag Stickers 3" x 1.5" | 12 ct | -25120 | STICKERS | -25298 | none | ||
| 13443 | Missionary Called to Serve Banner Color 24" x 32" | 1 ct | -362051 | BANNER | -362229 | none | ||
| 13442 | Missionary Called to Serve Banner Black and White 24" x 32" | 1 ct | -362051 | BANNER | -362229 | none | ||
| 12919 | Missionary Welcome Home Banner 24"x 26" | 1 ct | -362051 | BANNER | -362229 | none |