Fold 1 - Understanding why coefficient -4304659 was selected
Tag: CHAIN MATERIAL ROUND BLACK COTTON
Selected Coefficient: -4304659
Taxonomy Path: -0.66.1.12
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? |
|---|---|---|---|---|---|
| -4304659 | 2.028169 | -0.66.1.12 | -12.1.66.0 (-(12*71^3 + 5041 + 66*71)) | Yes | |
| 0 | 2.028169 | 0 | 0 (0) | No | |
| 2888138 | 2.028169 | 0.66.4.8 | 8.4.66.0 (8*71^3 + 4*71^2 + 66*71) | No | |
| -2969648 | 4.000000 | -2.7.21.8 | -8.21.7.2 (-(8*71^3 + 21*71^2 + 7*71 + 2)) | No | |
| 126879 | 4.000000 | 2.12.25 | 25.12.2 (25*71^2 + 12*71 + 2) | No |
These are the training products that have the "CHAIN MATERIAL ROUND BLACK COTTON" tag (processing sequence 856). 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 |
|---|---|---|---|---|---|---|---|
| 5066 | Citrine Pendant Necklace - Antique Bronze | 2888138 | PENDANT NECKLACE, CHAIN MATERIAL BLACK FLAT LEATHER | 7192797 | YELLOW CRYSTAL | ||
| 9148 | Men's Raw Peridot Necklace in 14k Gold-Filled | 126879 | 16TH ANNIVERSARY, CHAIN MATERIAL ANTIQUE BRONZE | 4431538 | none | ||
| 9352 | Raw Garnet Pendant - Necklace | 0 | WOMEN, CHAIN MATERIAL BLACK FLAT LEATHER | 4304659 | none | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -2969648 | GOLD, ANTIQUE BRONZE, WOMEN, 12TH ANNIVERSARY | 1335011 | none | ||
| 9014 | Blue Boulder Opal Pendant Necklace - Antique Brass | -4304659 | BLUE, CHAIN MATERIAL ANTIQUE BRONZE | 0 | PENDANTS |