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: 19
Unique residual values tried: 12
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 | 9.088608 | 14.19 | 19.14 (19*79 + 14) | Home & Garden > Smoking Accessories | Yes |
| 1235969 | 9.088768 | 14.3.40.2 | 2.40.3.14 (2*79^3 + 40*79^2 + 3*79 + 14) | Home & Garden > Decor > Home Fragrances > Candles | No |
| 174999 | 9.088928 | 14.3.28 | 28.3.14 (28*79^2 + 3*79 + 14) | Home & Garden > Decor > Dried Flowers | No |
| 5461679 | 9.101426 | 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 | 9.101426 | 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 |
| 5443035 | 9.113924 | 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 |
| 63451 | 9.113924 | 14.13.10 | 10.13.14 (10*79^2 + 13*79 + 14) | Home & Garden > Lighting > Night Lights & Ambient Lighting | No |
| 0 | 13.012818 | 0 | 0 (0) | No | |
| 243399 | 13.013299 | 0.0.39 | 39.0.0 (39*79^2) | No | |
| -398871 | 13.063291 | -0.72.63 | -63.72.0 (-(63*79^2 + 72*79)) | No | |
| 1011608 | 17.000000 | 13.7.4.2 | 2.4.7.13 (2*79^3 + 4*79^2 + 7*79 + 13) | No | |
| -125070 | 18.000000 | -13.3.20 | -20.3.13 (-(20*79^2 + 3*79 + 13)) | No |
These are the training products that have the "HOME" tag (processing sequence 4428). 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 |
|---|---|---|---|---|---|---|---|
| 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 | HEALTH | |
| 18182 | Solid Oak HEART Tealight holder | 1235969 | Home & Garden > Decor > Home Fragrances > Candles | none | 1234454 | none | |
| 1522 | CIRCULAR CANDLE | 1235969 | Home & Garden > Decor > Home Fragrances > Candles | none | 1234454 | none | |
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 1011608 | PENDANT | 1010093 | none | ||
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 1011608 | PENDANT | 1010093 | none | ||
| 1459 | ABSTRACT TRANSPARENT MOBILE | 243399 | DECOR | 241884 | none | ||
| 18204 | Crafting Lavender | 174999 | Home & Garden > Decor > Dried Flowers | none | 173484 | 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 | |
| 18178 | Fur Decorative Pillow | 0 | PILLOW | -1515 | none | ||
| 18177 | Lavender Vibrant Butterfly Small Pillow | 0 | PILLOW | -1515 | none | ||
| 2679 | LED Modern Double Wall Sconce Indoor Lights - Up/Down | 0 | LIGHTS | -1515 | none | ||
| 18211 | Medium Lavender Pillow | 0 | PILLOW | -1515 | none | ||
| 18198 | Small Bolster Pillow | -125070 | PILLOW, MOM | -126585 | none | ||
| 18186 | Large Square Lavender Sachet | -398871 | PILLOW | -400386 | none |