Fold 0 - Understanding why coefficient 689067 was selected
Tag: HAT
Selected Coefficient: 689067
Taxonomy Path: 1.2.17.1
Taxonomy Name:
Products with this tag: 27
Unique residual values tried: 13
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? |
|---|---|---|---|---|---|
| 689067 | 8.024688 | 1.2.17.1 | 1.17.2.1 (571787 + 17*83^2 + 2*83 + 1) | Yes | |
| 8122298 | 8.024696 | 1.2.17.14 | 14.17.2.1 (14*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 1260854 | 8.024698 | 1.2.17.2 | 2.17.2.1 (2*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 2976215 | 8.024698 | 1.2.17.5 | 5.17.2.1 (5*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 5263363 | 8.024698 | 1.2.17.9 | 9.17.2.1 (9*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 5835150 | 8.024698 | 1.2.17.10 | 10.17.2.1 (10*83^3 + 17*83^2 + 2*83 + 1) | No | |
| 20834 | 8.025983 | 1.2.3 | 3.2.1 (3*83^2 + 2*83 + 1) | No | |
| 2783157 | 8.204819 | 1.0.72.4 | 4.72.0.1 (4*83^3 + 72*83^2 + 1) | No | |
| 0 | 24.000000 | 0 | 0 (0) | No | |
| 4044011 | 24.000145 | 2.2.6.7 | 7.6.2.2 (7*83^3 + 6*83^2 + 2*83 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | No |
| 20835 | 24.000290 | 2.2.3 | 3.2.2 (3*83^2 + 2*83 + 2) | No | |
| -21142928 | 26.000000 | -6.7.81.36 | -36.81.7.6 (-(36*83^3 + 81*83^2 + 7*83 + 6)) | No | |
| -1481469 | 26.000000 | -2.4.49.2 | -2.49.4.2 (-(2*83^3 + 49*83^2 + 4*83 + 2)) | No |
These are the training products that have the "HAT" tag (processing sequence 6566). 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 |
|---|---|---|---|---|---|---|---|
| 24557 | ISOtunes Hat | 8122298 | none | 7433231 | none | ||
| 21108 | Wolf Tooth Logo Trucker Hat | 8122298 | none | 7433231 | none | ||
| 11088 | Brush | 5835150 | none | 5146083 | none | ||
| 26782 | Wide brim panama Hat | 5263363 | none | 4574296 | none | ||
| 10602 | Brimmed Garden Dog Hats | 4044011 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 3354944 | none | |
| 11257 | Snuggly Dog Beanie Hat | 4044011 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 3354944 | none | |
| 4604 | Orange Fishermen Hat by CHINESE BABY COMPANY | 2976215 | none | 2287148 | none | ||
| 10708 | Beanie & Scarf Dog Combo | 2783157 | BEANIE | 2094090 | none | ||
| 10703 | Marbled Grey Knitted Warm Dog Beanie | 2783157 | BEANIE | 2094090 | none | ||
| 10241 | Cable knit beanie with faux fur pom - Black | 1260854 | none | 571787 | none | ||
| 4602 | Mandarin Pink God Knows Iām Trying! Dad Hat | 689067 | none | 0 | none | ||
| 4587 | Basquiat Baby Dad Hat Black | 689067 | none | 0 | none | ||
| 4589 | CHINESE BABY COMPANY Dad Hat | 689067 | none | 0 | none | ||
| 4591 | CHINESE BABY COMPANY Dad Hat | 689067 | none | 0 | none | ||
| 17759 | Toronto Blue Jays New Era Brown/Charcoal Two-Tone Color Pack 59FIFTY Fitted Hat | 689067 | none | 0 | none | ||
| 17760 | Toronto Blue Jays New Era 2023 Mother's Day On-Field 59FIFTY Fitted Hat | 689067 | none | 0 | none | ||
| 18715 | Pink Bunny Ball Cap | 689067 | none | 0 | none | ||
| 20441 | WONTON The Duck FISHERMAN HAT | 20835 | none | -668232 | DOGS | ||
| 10229 | Women's winter balaclava hood - Brown | 20834 | none | -668233 | none | ||
| 10228 | Women's winter balaclava hood - Yellow | 20834 | none | -668233 | none | ||
| 10226 | Women's winter balaclava hood - Blue | 20834 | none | -668233 | none | ||
| 10227 | Women's winter balaclava hood - Beige | 20834 | none | -668233 | none | ||
| 1408 | IAM Worthy Scully | 0 | BEANIE | -689067 | none | ||
| 21201 | Wolf Tooth Components Merino Wool Watch Hat | 0 | BEANIE | -689067 | none | ||
| 24646 | Hand-Knotted Chullo Winter Magenta Pink Reversible. Alpaca Wool Blend with Earflaps Inca Culture Design. Rustic Unisex | 0 | SHAWL, BEANIE, COLD | -689067 | WRAP | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -1481469 | TOQUE, BEANIE, AJM | -2170536 | none | ||
| 31225 | Leo Sweat Utility Cargos | -21142928 | JEGGINGS, JEANS, KNITWEAR, BASEBALL CAP, TROUSERS, CARDIGAN, DISTRESSED | -21831995 | BOTTOMS |