Fold 3 - 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: 11
Unique residual values tried: 8
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 | 5.050633 | 14.19 | 19.14 (19*79 + 14) | Home & Garden > Smoking Accessories | Yes |
| 5461679 | 5.063291 | 14.10.6.11 | 11.6.10.14 (11*79^3 + 6*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Household Cleaning Supplies > Household Cleaning Products | No |
| 174999 | 5.063291 | 14.3.28 | 28.3.14 (28*79^2 + 3*79 + 14) | Home & Garden > Decor > Dried Flowers | No |
| 1979596 | 5.063291 | 14.15.1.4 | 4.1.15.14 (4*79^3 + 6241 + 15*79 + 14) | Home & Garden > Linens & Bedding > Bedding > Blankets | No |
| 5443035 | 5.063291 | 14.11.3.11 | 11.3.11.14 (11*79^3 + 3*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Food & Beverage Carriers > Water Bottles | No |
| 0 | 7.012658 | 0 | 0 (0) | No | |
| 4045116 | 7.037975 | 0.12.16.8 | 8.16.12.0 (8*79^3 + 16*79^2 + 12*79) | No | |
| -399675 | 10.000000 | -14.3.64 | -64.3.14 (-(64*79^2 + 3*79 + 14)) | No |
These are the training products that have the "HOME" tag (processing sequence 3778). 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 |
|---|---|---|---|---|---|---|---|
| 18205 | Lavender Shoe-Pourri | 5461679 | Home & Garden > Household Supplies > Household Cleaning Supplies > Household Cleaning Products | none | 5460164 | none | |
| 5088 | Fruit Infuse Water Bottle | 5443035 | Home & Garden > Kitchen & Dining > Food & Beverage Carriers > Water Bottles | none | 5441520 | none | |
| 18212 | Bolster Pillow | 4045116 | PILLOW | 4043601 | MOM | ||
| 1482 | BRONTE THROW | 1979596 | Home & Garden > Linens & Bedding > Bedding > Blankets | none | 1978081 | none | |
| 18204 | Crafting Lavender | 174999 | Home & Garden > Decor > Dried Flowers | none | 173484 | none | |
| 5315 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1515 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 5332 | Brand New Limited Edition Black Jo Malone Luxury Long Matches | 1515 | Home & Garden > Smoking Accessories | none | 0 | none | |
| 18177 | Lavender Vibrant Butterfly Small Pillow | 0 | PILLOW | -1515 | none | ||
| 1459 | ABSTRACT TRANSPARENT MOBILE | 0 | DECOR | -1515 | none | ||
| 18198 | Small Bolster Pillow | 0 | PILLOW | -1515 | MOM | ||
| 18178 | Fur Decorative Pillow | -399675 | BFF, PILLOW | -401190 | none |