Fold 3 - Understanding why coefficient 197278893 was selected
Tag: BIRTHDAYFORHIM
Selected Coefficient: 197278893
Taxonomy Path: 14.11.10.5.5
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 197278893 | 2.000000 | 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 | Yes |
| 314129136 | 2.000000 | 14.11.10.5.8 | 8.5.10.11.14 (8*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | No |
| 0 | 4.000160 | 0 | 0 (0) | No | |
| -308686101 | 4.000160 | -0.0.7.73.7 | -7.73.7.0.0 (-(7*79^4 + 73*79^3 + 7*79^2)) | No |
These are the training products that have the "BIRTHDAYFORHIM" tag (processing sequence 3068). 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 |
|---|---|---|---|---|---|---|---|
| 15145 | RAMBLER 20 OZ TUMBLER MS WETLANDS BROWN | 314129136 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | none | 116850243 | none | |
| 15207 | Yeti Rambler 16 Oz Stackable Pint with Magslider Lid TROPICAL PINK | 314129136 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | none | 116850243 | none | |
| 15149 | Rambler 24 oz Mug BLACK | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 15154 | RAMBLER 35 OZ STRAW MUG NAVY | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 0 | none | |
| 15508 | RAMBLER 10 OZ TUMBLER MS WV RED | 0 | YETI FALL 2024 | -197278893 | none | ||
| 15150 | RAMBLER 26 OZ BOTTLE CHUG WETLANDS BROWN | -308686101 | YETI FALL 2024 | -505964994 | none |