Fold 3 - Understanding why coefficient 1233215 was selected
Tag: TIE DYE
Selected Coefficient: 1233215
Taxonomy Path: 1.1.13.2
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 1233215 | 4.000147 | 1.1.13.2 | 2.13.1.1 (2*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 4663937 | 4.000147 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No | |
| 1212548 | 4.000290 | 1.1.10.2 | 2.10.1.1 (2*83^3 + 10*83^2 + 83 + 1) | No | |
| 0 | 4.012048 | 0 | 0 (0) | No | |
| -1267493 | 4.024096 | -0.82.17.2 | -2.17.82.0 (-(2*83^3 + 17*83^2 + 82*83)) | No | |
| 382595320 | 6.000000 | 14.11.10.5.8 | 8.5.10.11.14 (8*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "TIE DYE" tag (processing sequence 6502). 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 |
|---|---|---|---|---|---|---|---|
| 32288 | Nauti Hippie Sili Cup | 382595320 | none | 381362105 | none | ||
| 31755 | Monogrammed Tie Dyed Short Sleeve T-Shirt | 4663937 | none | 3430722 | none | ||
| 32237 | Coast-Fest Tie Dye Tee | 1233215 | SHIRT | 0 | NO-SWATCH | ||
| 31754 | Monogrammed Tie Dyed Sweatshirt | 1212548 | none | -20667 | none | ||
| 11248 | Mellow Yellow | 0 | ATHLETIC | -1233215 | none | ||
| 26855 | Lucy Tie Dye Shorts | 0 | SHORTS | -1233215 | BOTTOMS, CLEARANCE | ||
| 11269 | Lucy's In The Sky | -1267493 | ATHLETIC | -2500708 | WATER |