Fold 0 - Understanding why coefficient -27732 was selected
Tag: COASTAL BEDROOM
Selected Coefficient: -27732
Taxonomy Path: -10.2.4
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? |
|---|---|---|---|---|---|
| -27732 | 4.000000 | -10.2.4 | -4.2.10 (-(4*83^2 + 2*83 + 10)) | Yes | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 5731824 | 5.000000 | 10.2.2.10 | 10.2.2.10 (10*83^3 + 2*83^2 + 2*83 + 10) | No |
These are the training products that have the "COASTAL BEDROOM" tag (processing sequence 3180). 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 |
|---|---|---|---|---|---|---|---|
| 29147 | Sea Winds Trading Maui Queen Bed B533QBED | 5731824 | none | 5759556 | HEADBOARD, WICKER | ||
| 29146 | Sea Winds Trading Maui King Bed B533KBED | 5731824 | none | 5759556 | KING BED, HEADBOARD, WICKER | ||
| 29143 | Sea Winds Trading Island Breeze Picket Fence King Headboard B78241 | 0 | ISLAND BREEZE COLLECTION | 27732 | KING BED | ||
| 29141 | Sea Winds Trading Kauai King Headboard B53741 | 0 | ISLAND BREEZE COLLECTION | 27732 | KING BED | ||
| 29144 | Sea Winds Trading Island Breeze Picket Fence Queen Headboard B78240 | -27732 | ISLAND BREEZE COLLECTION, QUEEN HEADBOARD | 0 | none | ||
| 29130 | Sea Winds Trading Turtle Weave Queen Headboard Natural | -27732 | ISLAND BREEZE COLLECTION, QUEEN HEADBOARD | 0 | none | ||
| 29142 | Sea Winds Trading Kauai Queen Headboard B53740 | -27732 | ISLAND BREEZE COLLECTION, QUEEN HEADBOARD | 0 | none |