Fold 1 - Understanding why coefficient 314129136 was selected
Tag: PAWSOME
Selected Coefficient: 314129136
Taxonomy Path: 14.11.10.5.8
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers
Products with this tag: 9
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 314129136 | 5.025318 | 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 | Yes |
| 548815700 | 5.025318 | 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 |
| 967606 | 5.025477 | 14.3.76.1 | 1.76.3.14 (493039 + 76*79^2 + 3*79 + 14) | Home & Garden > Decor > Wreaths & Garlands > Garlands | No |
| 81384 | 5.025477 | 14.3.13 | 13.3.14 (13*79^2 + 3*79 + 14) | Home & Garden > Decor > Cardboard Cutouts | No |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -118885692 | 8.000000 | -14.11.10.4.3 | -3.4.10.11.14 (-(3*79^4 + 4*79^3 + 10*79^2 + 11*79 + 14)) | No | |
| 5791816 | 8.000000 | 10.2.59.11 | 11.59.2.10 (11*79^3 + 59*79^2 + 2*79 + 10) | No |
These are the training products that have the "PAWSOME" tag (processing sequence 3883). 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 | 234686564 | none | |
| 13069 | Pawsome Party Cups w/ Ears, 9 oz. | 8 ct | 314129136 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Tumblers | none | 0 | none | |
| 13067 | Pawsome Party Adoption Box Party Favor | 3 ct | 5791816 | BOX, PARTY FAVOR | -308337320 | none | ||
| 13078 | Pawsome Party "Happy Birthday" Letter Banner Kit | 2 pcs | 967606 | Home & Garden > Decor > Wreaths & Garlands > Garlands | none | -313161530 | none | |
| 13063 | Pawsome Party 3D Scene Setter w/ Props | 9 pc | 81384 | Home & Garden > Decor > Cardboard Cutouts | none | -314047752 | none | |
| 13076 | Pawsome Party Dog Bandana | 1 ct | 0 | BANDANA | -314129136 | none | ||
| 13066 | Pawsome Party Round Plates 9" | 8 ct | 0 | 9" | -314129136 | none | ||
| 13085 | Pawsome Party Table Centerpiece Kit | 9 pcs | 0 | CENTERPIECE | -314129136 | none | ||
| 13064 | Pawsome Party Shaped Plates 7" | 8 ct | -118885692 | 7", SHAPE | -433014828 | none |