Fold 0 - Understanding why coefficient -77117505 was selected
Tag: PEONY GOLD
Selected Coefficient: -77117505
Taxonomy Path: -3.4.33.2.3
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -77117505 | 2.000000 | -3.4.33.2.3 | -3.2.33.4.3 (-(3*71^4 + 2*71^3 + 33*71^2 + 4*71 + 3)) | Yes | |
| -71290392 | 2.000000 | -2.8.13.57.2 | -2.57.13.8.2 (-(2*71^4 + 57*71^3 + 13*71^2 + 8*71 + 2)) | No | |
| 78145867 | 2.000000 | 1.4.24.5.3 | 3.5.24.4.1 (3*71^4 + 5*71^3 + 24*71^2 + 4*71 + 1) | No |
These are the training products that have the "PEONY GOLD" tag (processing sequence 1848). 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 |
|---|---|---|---|---|---|---|---|
| 9190 | Cométe | 78145867 | CAT-EYE, CHAMPAGNE, NEW STYLES, OPTICAL | 155263372 | ROUND FACE | ||
| 9210 | Place Dauphine | -71290392 | ROUND, CHAMPAGNE, DIAMOND FACE, MEDIUM, OPTICAL | 5827113 | none | ||
| 9211 | Léna | -77117505 | ROUND, WOMEN, CHAMPAGNE, MEDIUM, OPTICAL | 0 | none |