Fold 1 - Understanding why coefficient 1515 was selected
Tag: HOME
Selected Coefficient: 1515
Taxonomy Path: 14.19
Taxonomy Name: Home & Garden > Smoking Accessories
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 1515 | 4.025316 | 14.19 | 19.14 (19*79 + 14) | Home & Garden > Smoking Accessories | Yes |
| 63451 | 4.038135 | 14.13.10 | 10.13.14 (10*79^2 + 13*79 + 14) | Home & Garden > Lighting > Night Lights & Ambient Lighting | No |
| 2029366 | 4.038135 | 14.13.9.4 | 4.9.13.14 (4*79^3 + 9*79^2 + 13*79 + 14) | Home & Garden > Lighting > Lighting Fixtures > Wall Light Fixtures | No |
| 6940163 | 6.000160 | 13.2.6.14 | 14.6.2.13 (14*79^3 + 6*79^2 + 2*79 + 13) | No | |
| -5211064 | 6.000320 | -66.76.44.10 | -10.44.76.66 (-(10*79^3 + 44*79^2 + 76*79 + 66)) | No | |
| -35542495 | 8.000000 | -0.0.7.72 | -72.7.0.0 (-(72*79^3 + 7*79^2)) | No |
These are the training products that have the "HOME" tag (processing sequence 1682). 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 |
|---|---|---|---|---|---|---|---|
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 6940163 | PENDANT, ROUND | 6938648 | none | ||
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 6940163 | PENDANT, ROUND | 6938648 | none | ||
| 2679 | LED Modern Double Wall Sconce Indoor Lights - Up/Down | 2029366 | Home & Garden > Lighting > Lighting Fixtures > Wall Light Fixtures | none | 2027851 | none | |
| 7943 | Start Night Lamp for Kids | 63451 | Home & Garden > Lighting > Night Lights & Ambient Lighting | none | 61936 | none | |
| 5332 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1515 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 5291 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1515 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 5315 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1515 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 1522 | CIRCULAR CANDLE | -5211064 | ROSE | -5212579 | none | ||
| 5088 | Fruit Infuse Water Bottle | -35542495 | ALL | -35544010 | none |