Fold 3 - Understanding why coefficient -3051158 was selected
Tag: 35TH ANNIVERSARY
Selected Coefficient: -3051158
Taxonomy Path: -4.19.37.8
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -3051158 | 4.014085 | -4.19.37.8 | -8.37.19.4 (-(8*71^3 + 37*71^2 + 19*71 + 4)) | Yes | |
| 25627 | 4.014085 | 67.5.5 | 5.5.67 (5*71^2 + 5*71 + 67) | No | |
| -40750 | 5.000000 | -67.5.8 | -8.5.67 (-(8*71^2 + 5*71 + 67)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 56300 | 5.000000 | 68.11.11 | 11.11.68 (11*71^2 + 11*71 + 68) | No | |
| 91999 | 5.000000 | 54.17.18 | 18.17.54 (18*71^2 + 17*71 + 54) | No |
These are the training products that have the "35TH ANNIVERSARY" tag (processing sequence 299). 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 |
|---|---|---|---|---|---|---|---|
| 8875 | Black Fossil Pendant - Men's Necklace | 91999 | SILVER, 12TH ANNIVERSARY, 20TH ANNIVERSARY, 2ND ANNIVERSARY | 3143157 | 55TH ANNIVERSARY | ||
| 9318 | Raw Emerald Huggie Earrings - Sterling Silver | 56300 | 20TH ANNIVERSARY | 3107458 | 55TH ANNIVERSARY | ||
| 9320 | Raw Emerald Pendant - Sterling Silver | 25627 | EMERALD, 20TH ANNIVERSARY | 3076785 | 55TH ANNIVERSARY | ||
| 9015 | Raw Emerald Crystals - Bundle Bags | 0 | EMERALD, 20TH ANNIVERSARY | 3051158 | 55TH ANNIVERSARY | ||
| 9028 | New Beginnings Crystals - Bundle Bags | -40750 | 12TH ANNIVERSARY | 3010408 | none | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -3051158 | GOLD, CRYSTAL NECKLACE, WOMEN, 12TH ANNIVERSARY, 2021 JEWELRY SET | 0 | none |