Fold 3 - Understanding why coefficient 251 was selected
Tag: FATHERS DAY
Selected Coefficient: 251
Taxonomy Path: 14.3
Taxonomy Name: Home & Garden > Decor
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? |
|---|---|---|---|---|---|
| 251 | 3.012658 | 14.3 | 3.14 (3*79 + 14) | Home & Garden > Decor | Yes |
| 197278893 | 3.012658 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | No |
| -178 | 4.000000 | -20.2 | -2.20 (-(2*79 + 20)) | No | |
| 5 | 4.000000 | 5 | 5 (5) | Bundles | No |
| 137461 | 4.000000 | 1.2.22 | 22.2.1 (22*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Neck Gaiters | No |
These are the training products that have the "FATHERS DAY" tag (processing sequence 4466). 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 |
|---|---|---|---|---|---|---|---|
| 8541 | Let Me Consult My Crystals Rounded Mug Gold Crescent Moon | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 197278642 | none | |
| 10957 | I am an American | Right to Bear Arms | 137461 | Apparel & Accessories > Clothing Accessories > Neck Gaiters | none | 137210 | none | |
| 8515 | Sun and Moon Gift Bags - 2 Sizes 3 Colours 23cm and 33cm | 251 | Home & Garden > Decor | none | 0 | none | |
| 8526 | Time to Relax Round Mug and Sock Gift Set | 5 | Bundles | none | -246 | none | |
| 14109 | Greenstone & Paua Shell Rosary, Saint Joseph Center (Nephrite Jade & Abalone) | -178 | 12, NEW FEB 2023 | -429 | none |