Fold 3 - Understanding why coefficient 354065295 was selected
Tag: TRS HOLIDAY
Selected Coefficient: 354065295
Taxonomy Path: 14.11.10.7.9
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 354065295 | 4.037975 | 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 | Yes |
| 315115214 | 4.037975 | 14.11.10.7.8 | 8.7.10.11.14 (8*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | No |
| 399675 | 4.050793 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | No |
| 3813502 | 4.050793 | 14.3.58.7 | 7.58.3.14 (7*79^3 + 58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | No |
| 79879758 | 4.063291 | 14.15.1.4.2 | 2.4.1.15.14 (2*79^4 + 4*79^3 + 6241 + 15*79 + 14) | Home & Garden > Linens & Bedding > Bedding > Blankets > Throw Blankets | No |
| 8887424 | 7.000000 | 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 | No |
| 178 | 9.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | No |
These are the training products that have the "TRS HOLIDAY" tag (processing sequence 4139). 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 |
|---|---|---|---|---|---|---|---|
| 15485 | Metz Marble Serving Board White/Gold 15x9.5 x.5 | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 0 | none | |
| 15286 | Christmas Tree Serving Board White/Gold 12x9 | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 0 | none | |
| 15484 | Metz Marble Serving Board Gray/Gold 15x9.5x.5 | 315115214 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | none | -38950081 | none | |
| 15136 | Bengal Throw White/Orange/Black 50x60 | 79879758 | Home & Garden > Linens & Bedding > Bedding > Blankets > Throw Blankets | none | -274185537 | none | |
| 15130 | Angel Ornament White/Almond/Gray 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | -345177871 | none | |
| 15189 | Texas Embossed Ornament White 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | -345177871 | none | |
| 15442 | Galvanized Texas Ornament Silver 4" | 8887424 | Arts & Entertainment > Party & Celebration > Party Supplies > Party Favors | none | -345177871 | none | |
| 15491 | Noelle Tree Ornament White/Green 4" | 3813502 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | -350251793 | none | |
| 15483 | Merry Christmas Embroidered Pillow Dark Green/Gold 13x24 | 399675 | Home & Garden > Decor > Throw Pillows | none | -353665620 | none | |
| 15305 | Cross Marble Ornament White/Gold 3x4x.6 | 178 | Religious & Ceremonial > Religious Items | none | -354065117 | none |