Fold 1 - Understanding why coefficient 27640 was selected
Tag: CFS20
Selected Coefficient: 27640
Taxonomy Path: 1.1.4
Taxonomy Name:
Products with this tag: 16
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 27640 | 0.001161 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | Yes | |
| 2948576 | 0.001602 | 1.1.13.5 | 5.13.1.1 (5*83^3 + 13*83^2 + 83 + 1) | No | |
| 661428 | 0.001604 | 1.1.13.1 | 1.13.1.1 (571787 + 13*83^2 + 83 + 1) | No | |
| 4092150 | 0.001604 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | No | |
| 5235724 | 0.001604 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| 3499696 | 0.002032 | 1.1.10.6 | 6.10.1.1 (6*83^3 + 10*83^2 + 83 + 1) | No | |
| 103419 | 0.002177 | 1.1.15 | 15.1.1 (15*83^2 + 83 + 1) | No |
These are the training products that have the "CFS20" tag (processing sequence 4409). 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 |
|---|---|---|---|---|---|---|---|
| 28705 | halter top | 5235724 | none | 5208084 | none | ||
| 17783 | croptop shirt | 4092150 | none | 4064510 | none | ||
| 28064 | gile | 3499696 | none | 3472056 | none | ||
| 28091 | gile | 3499696 | none | 3472056 | none | ||
| 28410 | gile mongtoghi | 2948576 | none | 2920936 | none | ||
| 28389 | gile | 2948576 | none | 2920936 | none | ||
| 18986 | denim croptop | 661428 | none | 633788 | none | ||
| 19009 | denim skirt | 103419 | none | 75779 | none | ||
| 27383 | dress | 27640 | none | 0 | none | ||
| 27442 | frock | 27640 | none | 0 | none | ||
| 27448 | frock basic | 27640 | none | 0 | none | ||
| 27371 | dress | 27640 | none | 0 | none | ||
| 27326 | dress | 27640 | none | 0 | none | ||
| 27305 | dress | 27640 | none | 0 | none | ||
| 19172 | dress | 27640 | none | 0 | none | ||
| 19025 | dress | 27640 | none | 0 | none |