Fold 1 - Understanding why coefficient 7994880 was selected
Tag: TOUGH DUCK
Selected Coefficient: 7994880
Taxonomy Path: 1.2.17.16
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Winter Hats
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 7994880 | 3.012660 | 1.2.17.16 | 16.17.2.1 (16*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Winter Hats | Yes |
| 1092334 | 3.012662 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 149864 | 3.037975 | 1.1.24 | 24.1.1 (24*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Uniforms & Workwear | No |
| 0 | 4.000160 | 0 | 0 (0) | No | |
| -954873 | 4.000320 | -0.0.74.1 | -1.74.0.0 (-(493039 + 74*79^2)) | No |
These are the training products that have the "TOUGH DUCK" tag (processing sequence 3543). 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 | 7994880 | Apparel & Accessories > Clothing Accessories > Hats > Winter Hats | none | 0 | WORKWEAR HAT/MASK | |
| 12558 | Tough Duck® Plaid Aviator Hat i15616 | 7994880 | Apparel & Accessories > Clothing Accessories > Hats > Winter Hats | none | 0 | WORKWEAR HAT/MASK | |
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | -6902546 | WORKWEAR | |
| 12600 | Tough Duck® Women’s Quilt-Lined Flannel Shirt WS11 | 149864 | Apparel & Accessories > Clothing > Uniforms & Workwear | none | -7845016 | WORKWEAR | |
| 12576 | Tough Duck®Acrylic Knit Cap with Reflective Stripe i45816 | 0 | 100% ACRYLIC | -7994880 | WORKWEAR HAT/MASK | ||
| 12577 | Tough Duck®Tough Duck Logo Knit Cap i36516 | 0 | 100% ACRYLIC | -7994880 | WORKWEAR HAT/MASK | ||
| 12566 | Tough Duck® Acrylic Neck Warmer i25716 | -954873 | 100% ACRYLIC | -8949753 | WORKWEAR HAT/MASK |