Fold 0 - Understanding why coefficient 8887424 was selected
Tag: TRS HOLIDAY
Selected Coefficient: 8887424
Taxonomy Path: 3.3.2.18
Taxonomy Name: Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors
Products with this tag: 7
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 8887424 | 3.000000 | 3.3.2.18 | 18.2.3.3 (18*79^3 + 2*79^2 + 3*79 + 3) | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | Yes |
| 354065295 | 4.012658 | 14.11.10.7.9 | 9.7.10.11.14 (9*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | No |
| 399675 | 4.025316 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | No |
These are the training products that have the "TRS HOLIDAY" tag (processing sequence 2783). 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 |
|---|---|---|---|---|---|---|---|
| 15286 | Christmas Tree Serving Board White/Gold 12x9 | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 345177871 | none | |
| 15485 | Metz Marble Serving Board White/Gold 15x9.5 x.5 | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 345177871 | none | |
| 15130 | Angel Ornament White/Almond/Gray 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 0 | none | |
| 15442 | Galvanized Texas Ornament Silver 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 0 | none | |
| 15189 | Texas Embossed Ornament White 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 0 | none | |
| 15494 | Nutcracker March Ornament White/Gold 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | 0 | none | |
| 15483 | Merry Christmas Embroidered Pillow Dark Green/Gold 13x24 | 399675 | Home & Garden > Decor > Throw Pillows | none | -8487749 | none |