Fold 4 - 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: 8
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 | 4.037975 | 14.13.10 | 10.13.14 (10*79^2 + 13*79 + 14) | Home & Garden > Lighting > Night Lights & Ambient Lighting | No |
| 1979596 | 4.037975 | 14.15.1.4 | 4.1.15.14 (4*79^3 + 6241 + 15*79 + 14) | Home & Garden > Linens & Bedding > Bedding > Blankets | No |
| 1011608 | 5.012658 | 13.7.4.2 | 2.4.7.13 (2*79^3 + 4*79^2 + 7*79 + 13) | No | |
| -5211064 | 5.025316 | -66.76.44.10 | -10.44.76.66 (-(10*79^3 + 44*79^2 + 76*79 + 66)) | No | |
| -113442657 | 7.000000 | -0.0.7.72.2 | -2.72.7.0.0 (-(2*79^4 + 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 |
|---|---|---|---|---|---|---|---|
| 1482 | BRONTE THROW | 1979596 | Home & Garden > Linens & Bedding > Bedding > Blankets | none | 1978081 | none | |
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 1011608 | PENDANT | 1010093 | none | ||
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 1011608 | PENDANT | 1010093 | none | ||
| 7943 | Start Night Lamp for Kids | 63451 | Home & Garden > Lighting > Night Lights & Ambient Lighting | none | 61936 | 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 | -113442657 | ALL | -113444172 | none |