Fold 1 - Understanding why coefficient 25044 was selected
Tag: COTTON DRESS SHIRT
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 25044 | 0.000160 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 4025525 | 0.000481 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
These are the training products that have the "COTTON DRESS SHIRT" tag (processing sequence 1110). 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 | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 4000481 | COTTON TSHIRT | |
| 13268 | 3 Quarter Sleeve 3 step Skater Mini Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 13274 | Basic Striped long Sleeves Mini Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | COTTON TSHIRT, MINI DRESS | |
| 13293 | Midi Denim Long Sleeves Shirt Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none |