Fold 3 - Understanding why coefficient 461826 was selected
Tag: VASE
Selected Coefficient: 461826
Taxonomy Path: 14.3.67
Taxonomy Name: Home & Garden > Decor > Vases
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| 461826 | 2.024105 | 14.3.67 | 67.3.14 (67*83^2 + 3*83 + 14) | Home & Garden > Decor > Vases | Yes |
| 1605400 | 2.024107 | 14.3.67.2 | 2.67.3.14 (2*83^3 + 67*83^2 + 3*83 + 14) | No | |
| 1033613 | 2.024109 | 14.3.67.1 | 1.67.3.14 (571787 + 67*83^2 + 3*83 + 14) | No | |
| 15203 | 2.120482 | 14.17.2 | 2.17.14 (2*83^2 + 17*83 + 14) | No | |
| 4072326 | 2.120482 | 14.11.10.7 | 7.10.11.14 (7*83^3 + 10*83^2 + 11*83 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware | No |
| 0 | 11.000002 | 0 | 0 (0) | No | |
| 1143574 | 11.000002 | 0.0.0.2 | 2.0.0.0 (2*83^3) | No |
These are the training products that have the "VASE" tag (processing sequence 5816). 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 |
|---|---|---|---|---|---|---|---|
| 19353 | Frey Roche Vase - Smoke | 4072326 | Home & Garden > Kitchen & Dining > Tableware > Serveware | none | 3610500 | none | |
| 19270 | Sable Vase - Smoke | 1605400 | none | 1143574 | none | ||
| 19271 | Sable Vase - Amber | 1605400 | none | 1143574 | none | ||
| 19347 | Ava Vase - Matt White | 1605400 | none | 1143574 | none | ||
| 19274 | Kudu Vase - Rings | 1143574 | TERRACOTTA | 681748 | none | ||
| 19100 | Manon Vase - Smoke | 1033613 | none | 571787 | none | ||
| 19220 | Bubbles Vase - Small | 1033613 | none | 571787 | none | ||
| 19269 | Frey Roche Vase - Amber | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19346 | Tessa Vase | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19217 | Bubbles Vase - Large | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19140 | Pleated Amber Vase | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 26959 | The Blooming Masterpiece Bouquet by FTD | 15203 | none | -446623 | none | ||
| 19275 | Kudu Vase - Lines | 0 | TERRACOTTA | -461826 | none |