Fold 0 - 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: 12
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 | 2.024105 | 14.3.67.2 | 2.67.3.14 (2*83^3 + 67*83^2 + 3*83 + 14) | No | |
| 1033613 | 2.024107 | 14.3.67.1 | 1.67.3.14 (571787 + 67*83^2 + 3*83 + 14) | No | |
| 15203 | 2.108434 | 14.17.2 | 2.17.14 (2*83^2 + 17*83 + 14) | No | |
| 4072326 | 2.108434 | 14.11.10.7 | 7.10.11.14 (7*83^3 + 10*83^2 + 11*83 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware | No |
| -94482635 | 10.000002 | -0.0.20.82.1 | -1.82.20.0.0 (-(47458321 + 82*83^3 + 20*83^2)) | No | |
| -95626209 | 10.000002 | -0.0.20.1.2 | -2.1.20.0.0 (-(2*83^4 + 571787 + 20*83^2)) | No |
These are the training products that have the "VASE" tag (processing sequence 6006). 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 | |
| 19347 | Ava Vase - Matt White | 1605400 | none | 1143574 | none | ||
| 19271 | Sable Vase - Amber | 1605400 | none | 1143574 | none | ||
| 26952 | Attraction Luxury Rose Bouquet | 1605400 | none | 1143574 | none | ||
| 19100 | Manon Vase - Smoke | 1033613 | none | 571787 | none | ||
| 19220 | Bubbles Vase - Small | 1033613 | none | 571787 | none | ||
| 19346 | Tessa Vase | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19140 | Pleated Amber Vase | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 19217 | Bubbles Vase - Large | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 26959 | The Blooming Masterpiece Bouquet by FTD | 15203 | none | -446623 | none | ||
| 19274 | Kudu Vase - Rings | -94482635 | TERRACOTTA | -94944461 | none | ||
| 19275 | Kudu Vase - Lines | -95626209 | TERRACOTTA | -96088035 | none |