Fold 1 - Understanding why coefficient 251 was selected
Tag: CANDLE HOLDER
Selected Coefficient: 251
Taxonomy Path: 14.3
Taxonomy Name: Home & Garden > Decor
Products with this tag: 2
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 251 | 0.000160 | 14.3 | 3.14 (3*79 + 14) | Home & Garden > Decor | Yes |
| 1229728 | 0.000160 | 14.3.39.2 | 2.39.3.14 (2*79^3 + 39*79^2 + 3*79 + 14) | Home & Garden > Decor > Home Fragrance Accessories > Candle Holders | No |
These are the training products that have the "CANDLE HOLDER" tag (processing sequence 3253). 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 |
|---|---|---|---|---|---|---|---|
| 8556 | Triple Moon - Magic Candle Holder | 1229728 | Home & Garden > Decor > Home Fragrance Accessories > Candle Holders | none | 1229477 | FATHERS DAY | |
| 19194 | Otto Candlestand | 251 | Home & Garden > Decor | none | 0 | none |