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: 10
Unique residual values tried: 10
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 | 5.037977 | 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 | 5.037977 | 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 |
| 362229 | 5.038135 | 14.3.58 | 58.3.14 (58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
| 967606 | 5.038135 | 14.3.76.1 | 1.76.3.14 (493039 + 76*79^2 + 3*79 + 14) | Home & Garden > Decor > Wreaths & Garlands > Garlands | No |
| 1030569 | 5.050633 | 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 |
| 0 | 8.012658 | 0 | 0 (0) | No | |
| -967276 | 8.012658 | -0.78.75.1 | -1.75.78.0 (-(493039 + 75*79^2 + 78*79)) | No | |
| -362229 | 9.000000 | -14.3.58 | -58.3.14 (-(58*79^2 + 3*79 + 14)) | No | |
| -6479 | 9.000000 | -1.3.1 | -1.3.1 (-(6241 + 3*79 + 1)) | No | |
| -6402 | 9.000000 | -3.2.1 | -1.2.3 (-(6241 + 2*79 + 3)) | No |
These are the training products that have the "PAWSOME" tag (processing sequence 3351). 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 | |
| 13060 | Pawsome Party Luncheon Napkins | 16 ct | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | -313098567 | none | |
| 13078 | Pawsome Party "Happy Birthday" Letter Banner Kit | 2 pcs | 967606 | Home & Garden > Decor > Wreaths & Garlands > Garlands | none | -313161530 | none | |
| 13068 | 12" Pawsome Party Confetti Latex Balloon Pack | 6 ct | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | -313766907 | none | |
| 13063 | Pawsome Party 3D Scene Setter w/ Props | 9 pc | 0 | SCENE SETTER | -314129136 | none | ||
| 13062 | Pawsome Party 2D Printed Candle, 3.3" x 2.67" | 1 ct | -6402 | CANDLE, PRINT | -314135538 | none | ||
| 13079 | Pawsome Party Headbands, Assorted | 4 ct | -6479 | HEADBANDS, WEARABLES | -314135615 | none | ||
| 13085 | Pawsome Party Table Centerpiece Kit | 9 pcs | -362229 | KIT, CENTERPIECE | -314491365 | none | ||
| 13084 | Pawsome Party Shaped Beverage Napkins, Assorted | 16 ct | -967276 | BEVERAGE NAPKINS | -315096412 | none |