Fold 3 - Understanding why coefficient 151457 was selected
Tag: CANDLES
Selected Coefficient: 151457
Taxonomy Path: 14.3.30
Taxonomy Name: Home & Garden > Decor > Figurines
Products with this tag: 6
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 151457 | 3.000397 | 14.3.30 | 30.3.14 (30*71^2 + 3*71 + 14) | Home & Garden > Decor > Figurines | Yes |
| 912648 | 3.000397 | 14.3.39.2 | 2.39.3.14 (2*71^3 + 39*71^2 + 3*71 + 14) | Home & Garden > Decor > Home Fragrance Accessories > Candle Holders | No |
| 917689 | 3.000397 | 14.3.40.2 | 2.40.3.14 (2*71^3 + 40*71^2 + 3*71 + 14) | Home & Garden > Decor > Home Fragrances > Candles | No |
| -3442848 | 5.000000 | -58.68.43.9 | -9.43.68.58 (-(9*71^3 + 43*71^2 + 68*71 + 58)) | No | |
| 3624479 | 5.000000 | 0.0.9.10 | 10.9.0.0 (10*71^3 + 9*71^2) | No | |
| 4834479 | 5.000000 | 18.2.36.13 | 13.36.2.18 (13*71^3 + 36*71^2 + 2*71 + 18) | No |
These are the training products that have the "CANDLES" tag (processing sequence 826). 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 |
|---|---|---|---|---|---|---|---|
| 7192 | GEORGIA PEACH | 4834479 | PEACH | 4683022 | CLEAN | ||
| 8242 | Chakra Healing Lotion Candle Number 6 | 3624479 | ALKEMIE | 3473022 | none | ||
| 7093 | APPLE MAPLE BOURBON | 917689 | Home & Garden > Decor > Home Fragrances > Candles | none | 766232 | CLEAN | |
| 8556 | Triple Moon - Magic Candle Holder | 912648 | Home & Garden > Decor > Home Fragrance Accessories > Candle Holders | none | 761191 | FATHERS DAY | |
| 10399 | Cronos Greek god Candle | 151457 | Home & Garden > Decor > Figurines | none | 0 | none | |
| 7152 | BLUE SKIES | -3442848 | BLUE | -3594305 | CLEAN |