Fold 2 - Understanding why coefficient 853006 was selected
Tag: ALUMINIUM SINGLE
Selected Coefficient: 853006
Taxonomy Path: 12.15.27.2
Taxonomy Name: Hardware > Tools > Ladders & Scaffolding > Ladders
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 853006 | 0.000000 | 12.15.27.2 | 2.27.15.12 (2*71^3 + 27*71^2 + 15*71 + 12) | Hardware > Tools > Ladders & Scaffolding > Ladders | Yes |
| 26264687 | 0.000000 | 12.15.27.2.1 | 1.2.27.15.12 (25411681 + 2*71^3 + 27*71^2 + 15*71 + 12) | Hardware > Tools > Ladders & Scaffolding > Ladders > Extension Ladders | No |
These are the training products that have the "ALUMINIUM SINGLE" tag (processing sequence 417). 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 | 26264687 | Hardware > Tools > Ladders & Scaffolding > Ladders > Extension Ladders | none | 25411681 | none | |
| 7020 | Indalex Pro Series Aluminium Single Straight Ladder 4.3m 14ft | 853006 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none | |
| 7021 | Indalex Pro Series Aluminium Single Straight Ladder 3.7m 12ft | 853006 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none | |
| 7022 | Indalex Pro Series Aluminium Single Straight Ladder 4.9m 16ft | 853006 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none | |
| 7048 | Indalex Pro Series Aluminium Single Straight Ladder 6.1m 20ft | 853006 | Hardware > Tools > Ladders & Scaffolding > Ladders | none | 0 | none |