Fold 3 - Understanding why coefficient -150822107 was selected
Tag: WHITE GOLD
Selected Coefficient: -150822107
Taxonomy Path: -2.6.28.66.5
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -150822107 | 4.014283 | -2.6.28.66.5 | -5.66.28.6.2 (-(5*71^4 + 66*71^3 + 28*71^2 + 6*71 + 2)) | Yes | |
| -78292199 | 4.014283 | -2.6.53.5.3 | -3.5.53.6.2 (-(3*71^4 + 5*71^3 + 53*71^2 + 6*71 + 2)) | No | |
| -2874153 | 4.028169 | -2.11.2.8 | -8.2.11.2 (-(8*71^3 + 2*71^2 + 11*71 + 2)) | No | |
| -40755 | 5.000000 | -1.6.8 | -8.6.1 (-(8*71^2 + 6*71 + 1)) | No | |
| 0 | 5.014085 | 0 | 0 (0) | No | |
| 2983633 | 5.014085 | 0.62.23.8 | 8.23.62.0 (8*71^3 + 23*71^2 + 62*71) | No |
These are the training products that have the "WHITE GOLD" tag (processing sequence 2393). 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 |
|---|---|---|---|---|---|---|---|
| 9184 | Place de la Madeleine | 2983633 | ROUND, CHAMPAGNE, DOWN TRIANGLE FACE, MEDIUM, PEONY GOLD | 153805740 | none | ||
| 9188 | Place de la Concorde | 0 | OVERSIZED, DOWN TRIANGLE FACE, GEOMETRIC | 150822107 | none | ||
| 9186 | Auber | -40755 | ROUND, 22K, CHAMPAGNE, MEDIUM, PEONY GOLD | 150781352 | none | ||
| 9165 | ReFramed Place Du Brésil | -40755 | CUSTOM LENSES, SUNGLASSES | 150781352 | REFRAMED | ||
| 9211 | Léna | -2874153 | ROUND, WOMEN, CHAMPAGNE, MEDIUM, PEONY GOLD | 147947954 | none | ||
| 9187 | Place Coluche | -78292199 | ROUND, CHAMPAGNE, MEDIUM | 72529908 | none | ||
| 9168 | Place Blanche | -150822107 | CHAMPAGNE, DOWN TRIANGLE FACE, MEDIUM, ROUND FACE | 0 | SQUARE |