Fold 0 - Understanding why coefficient -3532486 was selected
Tag: TOUGH DUCK
Selected Coefficient: -3532486
Taxonomy Path: -1.1.13.7
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| -3532486 | 2.000160 | -1.1.13.7 | -7.13.1.1 (-(7*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -4487359 | 2.000320 | -1.1.8.9 | -9.8.1.1 (-(9*79^3 + 8*79^2 + 79 + 1)) | No | |
| 4462394 | 3.000000 | 0.1.4.9 | 9.4.1.0 (9*79^3 + 4*79^2 + 79) | No |
These are the training products that have the "TOUGH DUCK" tag (processing sequence 2910). 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 |
|---|---|---|---|---|---|---|---|
| 12557 | Tough Duck® Hi-Vis Aviator Hat i15516 | 4462394 | BLANK | 7994880 | Apparel & Accessories > Clothing Accessories > Hats > Winter Hats | none | |
| 12558 | Tough Duck® Plaid Aviator Hat i15616 | 4462394 | BLANK | 7994880 | Apparel & Accessories > Clothing Accessories > Hats > Winter Hats | none | |
| 12576 | Tough Duck®Acrylic Knit Cap with Reflective Stripe i45816 | -3532486 | 100% ACRYLIC, BLANK | 0 | none | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | -3532486 | 100% ACRYLIC, BLANK | 0 | BEANIE | ||
| 12566 | Tough Duck® Acrylic Neck Warmer i25716 | -4487359 | 100% ACRYLIC, BLANK | -954873 | none |