Fold 3 - Understanding why coefficient -78346939 was selected
Tag: PEONY GOLD
Selected Coefficient: -78346939
Taxonomy Path: -1.67.63.5.3
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -78346939 | 3.014085 | -1.67.63.5.3 | -3.5.63.67.1 (-(3*71^4 + 5*71^3 + 63*71^2 + 67*71 + 1)) | Yes | |
| -75363306 | 3.014085 | -1.5.40.68.2 | -2.68.40.5.1 (-(2*71^4 + 68*71^3 + 40*71^2 + 5*71 + 1)) | No | |
| -81221092 | 4.000000 | -3.7.66.13.3 | -3.13.66.7.3 (-(3*71^4 + 13*71^3 + 66*71^2 + 7*71 + 3)) | No | |
| -78387694 | 4.000000 | -2.2.1.6.3 | -3.6.1.2.2 (-(3*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | 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 | 0 | 22K, CAT-EYE, CHAMPAGNE | 78346939 | ROUND FACE, WOMEN'S | ||
| 9184 | Place de la Madeleine | -75363306 | ROUND, CHAMPAGNE, DOWN TRIANGLE FACE, MEDIUM | 2983633 | WHITE GOLD | ||
| 9213 | Gaillon | -78346939 | 22K, MEDIUM | 0 | WOMEN'S | ||
| 9186 | Auber | -78387694 | ROUND, 22K, CHAMPAGNE, MEDIUM | -40755 | WHITE GOLD | ||
| 9211 | Léna | -81221092 | ROUND, WOMEN, CHAMPAGNE, MEDIUM | -2874153 | WHITE GOLD |