Fold 3 - Understanding why coefficient -2928893 was selected
Tag: AIR
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -2928893 | 1.000201 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -2570982 | 1.000201 | -1.1.13.7 | -7.13.1.1 (-(7*71^3 + 13*71^2 + 71 + 1)) | No | |
| -5479639 | 1.000397 | -1.1.22.15 | -15.22.1.1 (-(15*71^3 + 22*71^2 + 71 + 1)) | No | |
| -2908657 | 3.000000 | -0.0.9.8 | -8.9.0.0 (-(8*71^3 + 9*71^2)) | No |
These are the training products that have the "AIR" tag (processing sequence 390). 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 |
|---|---|---|---|---|---|---|---|
| 262 | Baby Tee, MEDIUM Jersey | -2570982 | JERSEY, WOMEN | 357911 | FALL, MICROMODAL | ||
| 281 | EZ Dress, LIGHT Jersey | -2908657 | WOMEN | 20236 | Apparel & Accessories > Clothing > Dresses | LEISURE, MICROMODAL | |
| 261 | Baby Tee, LIGHT Jersey | -2928893 | TOP, WOMEN | 0 | FALL, LEISURE, MICROMODAL | ||
| 283 | EZ Dress, SHEER Jersey | -5479639 | JERSEY, WOMEN | -2550746 | LEISURE |