Fold 3 - Understanding why coefficient 81213 was selected
Tag: VEST
Selected Coefficient: 81213
Taxonomy Path: 1.1.13
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 81213 | 2.000004 | 1.1.13 | 13.1.1 (13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops | Yes |
| 3532486 | 2.000004 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 6490720 | 2.000004 | 1.1.13.13 | 13.13.1.1 (13*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | No |
| -5997681 | 4.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "VEST" tag (processing sequence 3026). 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 |
|---|---|---|---|---|---|---|---|
| 11832 | Carter Slim Fit Vested Suit | 6490720 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | CLOTHING, PATTERNED, SIZE-36R-30W | 6409507 | none | |
| 8045 | Mens Motorcycle Biker Shirt Fluorescent Yellow Cut Off Size Small | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | 3451273 | none | |
| 11397 | Men's Classic Solid Vest w/ Tie Set | 81213 | Apparel & Accessories > Clothing > Clothing Tops | none | 0 | none | |
| 11872 | Carlton Slim Fit Vested Suit | 0 | CLOTHING, SIZE-36R-30W | -81213 | none | ||
| 11870 | Carlton Slim Fit Vested Suit | -5997681 | BLUE, CLOTHING, SIZE-36R-30W | -6078894 | none |