Fold 1 - Understanding why coefficient 1330834 was selected
Tag: ALUMINIUM SINGLE
Selected Coefficient: 1330834
Taxonomy Path: 12.15.27.2
Taxonomy Name: Hardware > Tools > Ladders & Scaffolding > Ladders
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 1330834 | 0.000000 | 12.15.27.2 | 2.27.15.12 (2*83^3 + 27*83^2 + 15*83 + 12) | Hardware > Tools > Ladders & Scaffolding > Ladders | Yes |
| 48789155 | 0.000000 | 12.15.27.2.1 | 1.2.27.15.12 (47458321 + 2*83^3 + 27*83^2 + 15*83 + 12) | Hardware > Tools > Ladders & Scaffolding > Ladders > Extension Ladders | No |
These are the training products that have the "ALUMINIUM SINGLE" tag (processing sequence 3485). 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 |
|---|---|---|---|---|---|---|---|
| 7023 | Indalex Pro Series Aluminium Single Straight Ladder 5.5m 18ft | 48789155 | Hardware > Tools > Ladders & Scaffolding > Ladders > Extension Ladders | none | 47458321 | none | |
| 7022 | Indalex Pro Series Aluminium Single Straight Ladder 4.9m 16ft | 1330834 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none | |
| 7048 | Indalex Pro Series Aluminium Single Straight Ladder 6.1m 20ft | 1330834 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none |