Fold 0 - Understanding why coefficient 1363 was selected
Tag: HOME
Selected Coefficient: 1363
Taxonomy Path: 14.19
Taxonomy Name: Home & Garden > Smoking Accessories
Products with this tag: 7
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 1363 | 4.000000 | 14.19 | 19.14 (19*71 + 14) | Home & Garden > Smoking Accessories | Yes |
| 5041155 | 4.000198 | 13.2.6.14 | 14.6.2.13 (14*71^3 + 6*71^2 + 2*71 + 13) | No | |
| -3765472 | 4.000397 | -58.68.36.10 | -10.36.68.58 (-(10*71^3 + 36*71^2 + 68*71 + 58)) | No | |
| 2263977 | 6.000000 | 0.8.23.6 | 6.23.8.0 (6*71^3 + 23*71^2 + 8*71) | No |
These are the training products that have the "HOME" tag (processing sequence 1408). 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 | 5041155 | PENDANT, ROUND | 5039792 | none | ||
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 5041155 | PENDANT, ROUND | 5039792 | none | ||
| 5088 | Fruit Infuse Water Bottle | 2263977 | ALL, HEALTH | 2262614 | none | ||
| 5291 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1363 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 5315 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1363 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 5332 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1363 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 1522 | CIRCULAR CANDLE | -3765472 | ROSE | -3766835 | none |