Fold 0 - Understanding why coefficient 5731824 was selected
Tag: KING BED
Selected Coefficient: 5731824
Taxonomy Path: 10.2.2.10
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 5731824 | 1.000435 | 10.2.2.10 | 10.2.2.10 (10*83^3 + 2*83^2 + 2*83 + 10) | Yes | |
| 27732 | 1.000435 | 10.2.4 | 4.2.10 (4*83^2 + 2*83 + 10) | No | |
| 5759556 | 6.000000 | 20.4.6.10 | 10.6.4.20 (10*83^3 + 6*83^2 + 4*83 + 20) | No |
These are the training products that have the "KING BED" tag (processing sequence 4157). 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 |
|---|---|---|---|---|---|---|---|
| 29146 | Sea Winds Trading Maui King Bed B533KBED | 5759556 | COASTAL BEDROOM | 27732 | HEADBOARD, WICKER | ||
| 29148 | Sea Winds Trading Surfside King Bed B27741-WW-SET | 5731824 | none | 0 | none | ||
| 29173 | Sea Winds Trading Kauai Blue King Bed Set B53751-BLUECRK-SET | 5731824 | none | 0 | none | ||
| 29193 | Sea Winds Trading Kauai White King Bed Set B53751-WHCRK-SET | 5731824 | none | 0 | none | ||
| 29205 | Sea Winds Trading Islamorada King Headboard B23341 | 27732 | none | -5704092 | HEADBOARD | ||
| 29143 | Sea Winds Trading Island Breeze Picket Fence King Headboard B78241 | 27732 | ISLAND BREEZE COLLECTION, COASTAL BEDROOM | -5704092 | none | ||
| 29141 | Sea Winds Trading Kauai King Headboard B53741 | 27732 | ISLAND BREEZE COLLECTION, COASTAL BEDROOM | -5704092 | none |