Fold 3 - Understanding why coefficient 55370 was selected
Tag: 69MM
Selected Coefficient: 55370
Taxonomy Path: 9.3.8
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 55370 | 2.000149 | 9.3.8 | 8.3.9 (8*83^2 + 3*83 + 9) | Yes | |
| 627157 | 2.000152 | 9.3.8.1 | 1.8.3.9 (571787 + 8*83^2 + 3*83 + 9) | No | |
| 258 | 2.000871 | 9.3 | 3.9 (3*83 + 9) | No | |
| -571787 | 8.000000 | -0.0.0.1 | -1.0.0.0 (-(571787)) | No | |
| 55874 | 8.000000 | 15.9.8 | 8.9.15 (8*83^2 + 9*83 + 15) | No |
These are the training products that have the "69MM" tag (processing sequence 4283). 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 |
|---|---|---|---|---|---|---|---|
| 27426 | Smoking Tree Free King Size | Flax | 627157 | none | 571787 | none | ||
| 27447 | Smoking Brown Single Wide Double Window | 627157 | none | 571787 | none | ||
| 27325 | Smoking Brown Limited Edition Tin | 55874 | none | 504 | Business & Industrial > Film & Television | 77MM, SINGLE WIDE | |
| 27402 | Smoking Green Single Wide | Cut Corners | 55370 | none | 0 | SINGLE WIDE | ||
| 27454 | Smoking White Single Wide | 55370 | none | 0 | none | ||
| 27319 | Smoking Organic Limited Edition Tin | 55370 | none | 0 | 77MM, SINGLE WIDE | ||
| 27395 | Smoking Tree Free Regular Size Double Window | Flax | 55370 | none | 0 | none | ||
| 27314 | Smoking Thinnest Limited Edition Tin | 258 | none | -55112 | 77MM, SINGLE WIDE | ||
| 27441 | Smoking Organic Single Wide | Bio Certified | -571787 | TREE FREE | -627157 | none |