Fold 1 - Understanding why coefficient 1092334 was selected
Tag: BEANIE
Selected Coefficient: 1092334
Taxonomy Path: 1.2.17.2
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Beanies
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? |
|---|---|---|---|---|---|
| 1092334 | 2.012658 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | Yes |
| 3326454 | 2.012658 | 1.0.59.6 | 6.59.0.1 (6*79^3 + 59*79^2 + 1) | No | |
| -199871 | 3.000000 | -1.2.32 | -32.2.1 (-(32*79^2 + 2*79 + 1)) | No | |
| 3488879 | 3.000000 | 2.2.6.7 | 7.6.2.2 (7*79^3 + 6*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | No |
These are the training products that have the "BEANIE" tag (processing sequence 3121). 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 |
|---|---|---|---|---|---|---|---|
| 10703 | Marbled Grey Knitted Warm Dog Beanie | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2396545 | HAT | |
| 10708 | Beanie & Scarf Dog Combo | 3326454 | SCARF | 2234120 | HAT | ||
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 0 | WORKWEAR | |
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -199871 | 100% ACRYLIC, AJM | -1292205 | HAT |