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: 16
Unique residual values tried: 10
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 | 8.075949 | 14.19 | 19.14 (19*79 + 14) | Home & Garden > Smoking Accessories | Yes |
| 1043288 | 8.075949 | 14.13.9.2 | 2.9.13.14 (2*79^3 + 9*79^2 + 13*79 + 14) | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | No |
| 5461679 | 8.076110 | 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 |
| 121388254 | 8.076110 | 14.10.16.9.3 | 3.9.16.10.14 (3*79^4 + 9*79^3 + 16*79^2 + 10*79 + 14) | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | No |
| 399675 | 8.088608 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | No |
| 5443035 | 8.088608 | 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 | 10.012658 | 0 | 0 (0) | No | |
| 4045116 | 10.063291 | 0.12.16.8 | 8.16.12.0 (8*79^3 + 16*79^2 + 12*79) | No | |
| 492482390335 | 15.000000 | 3.2.5.74.3.2.2 | 2.2.3.74.5.2.3 (2*79^6 + 2*79^5 + 3*79^4 + 74*79^3 + 5*79^2 + 2*79 + 3) | No | |
| -399675 | 15.000000 | -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 3764). 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 |
|---|---|---|---|---|---|---|---|
| 1459 | ABSTRACT TRANSPARENT MOBILE | 492482390335 | DECOR | 492482388820 | none | ||
| 1465 | Mop Broom Holder, Garden Tools Wall Mounted Commercial Organizer Saving Space Storage Rack for Kitchen Garden and Garage,Laundry Offices(5 Position with 6 Hooks) | 121388254 | Home & Garden > Household Supplies > Storage & Organization > Storage Hooks & Racks > Utility Hooks | none | 121386739 | none | |
| 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 | none | ||
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 1043288 | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | none | 1041773 | none | |
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 1043288 | Home & Garden > Lighting > Lighting Fixtures > Ceiling Light Fixtures | none | 1041773 | none | |
| 18176 | Lavender Inspirational Small Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | 398160 | 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 | |
| 2679 | LED Modern Double Wall Sconce Indoor Lights - Up/Down | 0 | LIGHTS | -1515 | none | ||
| 18177 | Lavender Vibrant Butterfly Small Pillow | 0 | PILLOW | -1515 | none | ||
| 18198 | Small Bolster Pillow | 0 | PILLOW | -1515 | none | ||
| 18204 | Crafting Lavender | 0 | HOT | -1515 | none | ||
| 18211 | Medium Lavender Pillow | 0 | PILLOW | -1515 | none | ||
| 18178 | Fur Decorative Pillow | -399675 | BFF, PILLOW | -401190 | none |