Fold 4 - Understanding why coefficient -4496787 was selected
Tag: ALLOY
Selected Coefficient: -4496787
Taxonomy Path: -2.3.40.12
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -4496787 | 3.000000 | -2.3.40.12 | -12.40.3.2 (-(12*71^3 + 40*71^2 + 3*71 + 2)) | Yes | |
| -4440909 | 3.000000 | -1.68.28.12 | -12.28.68.1 (-(12*71^3 + 28*71^2 + 68*71 + 1)) | No | |
| -7456353 | 4.000000 | -4.10.59.20 | -20.59.10.4 (-(20*71^3 + 59*71^2 + 10*71 + 4)) | No |
These are the training products that have the "ALLOY" tag (processing sequence 116). 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 |
|---|---|---|---|---|---|---|---|
| 5690 | U.S. Polo Assn. USC40136 Women's Quartz Metal and Alloy Watch | -4440909 | ROUND, CASUAL | 55878 | Apparel & Accessories > Jewelry > Watches | none | |
| 5724 | U.S. Polo Assn. Women's Analog Quartz Watch Model USC40303AZ | -4440909 | ROUND, CASUAL | 55878 | Apparel & Accessories > Jewelry > Watches | none | |
| 5691 | U.S. Polo Assn. USC40176 For Women Analog Dress Watch | -4496787 | SILVER, ROUND, CASUAL | 0 | NEW-ARRIVALS | ||
| 5692 | U.S. Polo Assn. Women's Quartz Metal and Alloy Casual Watch Model USC40263 | -4496787 | SILVER, ROUND, CASUAL | 0 | none | ||
| 5725 | U.S. Polo Assn. Women's Quartz Metal and Alloy Casual Watch Model USC40261 | -7456353 | GOLD, SILVER, ROUND, WHITE, CASUAL | -2959566 | none |