Fold 1 - Understanding why coefficient -3507522 was selected
Tag: ALL TOPS
Selected Coefficient: -3507522
Taxonomy Path: -1.1.9.7
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? |
|---|---|---|---|---|---|
| -3507522 | 3.000000 | -1.1.9.7 | -7.9.1.1 (-(7*79^3 + 9*79^2 + 79 + 1)) | Yes | |
| 3557773 | 3.000000 | 8.5.17.7 | 7.17.5.8 (7*79^3 + 17*79^2 + 5*79 + 8) | No | |
| 9860780 | 3.000000 | 0.0.0.20 | 20.0.0.0 (20*79^3) | No | |
| 11034327 | 3.000000 | 2.3.30.22 | 22.30.3.2 (22*79^3 + 30*79^2 + 3*79 + 2) | No |
These are the training products that have the "ALL TOPS" tag (processing sequence 4291). 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 |
|---|---|---|---|---|---|---|---|
| 18108 | Savannah Button Down Shirt Ivory | 11034327 | BLACKFRI2022, NEW CLOTHING, BLACKFRIDAY, WORKWEAR | 14541849 | LONG SLEEVES | ||
| 18112 | Light Blue Plaid Long Sleeve | 9860780 | BLACKFRI2022, NEW CLOTHING, WORKWEAR | 13368302 | LONG SLEEVES | ||
| 18115 | Angel Tee Bunny | 3557773 | SHORT SLEEVES, NEW CLOTHING, BLACKFRIDAY | 7065295 | none | ||
| 18110 | Pajama Party Robe Gold Combo | -3507522 | KIMONOS, BLACKFRI2022, NEW CLOTHING | 0 | none |