Fold 3 - Understanding why coefficient 27640 was selected
Tag: COTTON DRESS SHIRT
Selected Coefficient: 27640
Taxonomy Path: 1.1.4
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 3
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 | 2.000145 | 1.1.4 | 4.1.1 (4*83^2 + 83 + 1) | Yes | |
| 4663937 | 2.000581 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "COTTON DRESS SHIRT" tag (processing sequence 2456). 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 |
|---|---|---|---|---|---|---|---|
| 13300 | Oversized Mickey Mouse Tshirt with hood | 4663937 | none | 4636297 | COTTON TSHIRT | ||
| 13299 | Oversized Fashion Dress Shirt | 27640 | none | 0 | COTTON TSHIRT | ||
| 13274 | Basic Striped long Sleeves Mini Dress | 27640 | VINTAGE DRESS, MINI DRESS | 0 | COTTON TSHIRT | ||
| 13267 | 3 Quarter Lantern Sleeve Multicolored Skater Mini Dress | 27640 | SEMI FORMAL DRESS, VINTAGE DRESS | 0 | none | ||
| 13268 | 3 Quarter Sleeve 3 step Skater Mini Dress | 27640 | SEMI FORMAL DRESS, VINTAGE DRESS | 0 | none | ||
| 13293 | Midi Denim Long Sleeves Shirt Dress | 0 | MIDI DRESS, SEMI FORMAL DRESS, VINTAGE DRESS | -27640 | none | ||
| 13294 | Midi Denim Short Sleeves Shirt Dress | 0 | MIDI DRESS, SEMI FORMAL DRESS, VINTAGE DRESS | -27640 | none |