Fold 1 - Understanding why coefficient 81384 was selected
Tag: PAWSOME
Selected Coefficient: 81384
Taxonomy Path: 14.3.13
Taxonomy Name: Home & Garden > Decor > Cardboard Cutouts
Products with this tag: 8
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 81384 | 4.025477 | 14.3.13 | 13.3.14 (13*79^2 + 3*79 + 14) | Home & Garden > Decor > Cardboard Cutouts | Yes |
| 967606 | 4.025477 | 14.3.76.1 | 1.76.3.14 (493039 + 76*79^2 + 3*79 + 14) | Home & Garden > Decor > Wreaths & Garlands > Garlands | No |
| 1030569 | 4.037975 | 14.10.7.2 | 2.7.10.14 (2*79^3 + 7*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | No |
| 548815700 | 4.037975 | 14.11.10.7.14 | 14.7.10.11.14 (14*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | No |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 2484086 | 7.000000 | 10.2.3.5 | 5.3.2.10 (5*79^3 + 3*79^2 + 2*79 + 10) | No |
These are the training products that have the "PAWSOME" tag (processing sequence 3033). 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 |
|---|---|---|---|---|---|---|---|
| 13077 | Pawsome Party Dog Bowls, 12" x 12" x 5" | 3 ct | 548815700 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Bowls | none | 548734316 | none | |
| 13067 | Pawsome Party Adoption Box Party Favor | 3 ct | 2484086 | BOX | 2402702 | none | ||
| 13060 | Pawsome Party Luncheon Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | 949185 | none | |
| 13078 | Pawsome Party "Happy Birthday" Letter Banner Kit | 2 pcs | 967606 | Home & Garden > Decor > Wreaths & Garlands > Garlands | none | 886222 | none | |
| 13063 | Pawsome Party 3D Scene Setter w/ Props | 9 pc | 81384 | Home & Garden > Decor > Cardboard Cutouts | none | 0 | none | |
| 13076 | Pawsome Party Dog Bandana | 1 ct | 0 | BANDANA | -81384 | none | ||
| 13079 | Pawsome Party Headbands, Assorted | 4 ct | 0 | HEADBANDS | -81384 | none | ||
| 13085 | Pawsome Party Table Centerpiece Kit | 9 pcs | 0 | CENTERPIECE | -81384 | none |