Fold 1 - Understanding why coefficient -579267 was selected
Tag: MODERN DINING
Selected Coefficient: -579267
Taxonomy Path: -10.7.1.1
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -579267 | 3.024096 | -10.7.1.1 | -1.1.7.10 (-(571787 + 6889 + 7*83 + 10)) | Yes | |
| -1173132 | 3.036145 | -10.24.4.2 | -2.4.24.10 (-(2*83^3 + 4*83^2 + 24*83 + 10)) | No | |
| -581923 | 3.036145 | -10.39.1.1 | -1.1.39.10 (-(571787 + 6889 + 39*83 + 10)) | No | |
| 0 | 4.012048 | 0 | 0 (0) | No | |
| -1151625 | 4.024096 | -0.14.1.2 | -2.1.14.0 (-(2*83^3 + 6889 + 14*83)) | No |
These are the training products that have the "MODERN DINING" tag (processing sequence 5383). 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 |
|---|---|---|---|---|---|---|---|
| 29221 | Lloyd Flanders Grand Traverse 60" Round Umbrella Dining Table | 0 | OUTDOOR DINING | 579267 | GRAND TRAVERSE | ||
| 29264 | Lloyd Flanders Mesa 72" Rectangular Umbrella Dining Table | 0 | OUTDOOR DINING | 579267 | MESA | ||
| 29297 | Lloyd Flanders Low County Dining Armchair | -579267 | DINING ARM CHAIR, LOW COUNTRY | 0 | none | ||
| 29215 | Lloyd Flanders Mackinac 48" Round Teak Top Umbrella Dining Table | -579267 | OUTDOOR DINING, MACKINAC | 0 | none | ||
| 29230 | Lloyd Flanders Grand Traverse Armless Dining Chair | -581923 | ARMLESS CHAIR, OUTDOOR DINING | -2656 | GRAND TRAVERSE | ||
| 29262 | Lloyd Flanders Mesa Dining Set | -1151625 | OUTDOOR DINING | -572358 | MESA | ||
| 29265 | Lloyd Flanders Mesa Armless Dining Chair | -1173132 | ARMLESS DINING CHAIR, OUTDOOR DINING | -593865 | MESA |