Fold 0 - 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: 18
Unique residual values tried: 13
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 | 9.075949 | 14.19 | 19.14 (19*79 + 14) | Home & Garden > Smoking Accessories | Yes |
| 399675 | 9.088768 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | No |
| 5461679 | 9.088768 | 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 |
| 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 |
| 121388254 | 9.088768 | 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 |
| 1979596 | 9.101266 | 14.15.1.4 | 4.1.15.14 (4*79^3 + 6241 + 15*79 + 14) | Home & Garden > Linens & Bedding > Bedding > Blankets | No |
| 63451 | 9.101266 | 14.13.10 | 10.13.14 (10*79^2 + 13*79 + 14) | Home & Garden > Lighting > Night Lights & Ambient Lighting | No |
| 0 | 13.025316 | 0 | 0 (0) | No | |
| -398871 | 13.050633 | -0.72.63 | -63.72.0 (-(63*79^2 + 72*79)) | No | |
| 4045116 | 13.050633 | 0.12.16.8 | 8.16.12.0 (8*79^3 + 16*79^2 + 12*79) | No | |
| 1011608 | 16.000000 | 13.7.4.2 | 2.4.7.13 (2*79^3 + 4*79^2 + 7*79 + 13) | No | |
| -162425 | 17.000000 | -1.2.26 | -26.2.1 (-(26*79^2 + 2*79 + 1)) | No | |
| 580574 | 17.000000 | 3.2.14.1 | 1.14.2.3 (493039 + 14*79^2 + 2*79 + 3) | No |
These are the training products that have the "HOME" tag (processing sequence 4408). 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 | |
| 18212 | Bolster Pillow | 4045116 | PILLOW | 4043601 | none | ||
| 1482 | BRONTE THROW | 1979596 | Home & Garden > Linens & Bedding > Bedding > Blankets | none | 1978081 | 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 | ||
| 18204 | Crafting Lavender | 580574 | HOT, PLANT | 579059 | none | ||
| 18176 | Lavender Inspirational Small Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | 398160 | 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 | |
| 5332 | 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 | |
| 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 | ||
| 18178 | Fur Decorative Pillow | -162425 | PILLOW, BFF | -163940 | none | ||
| 18186 | Large Square Lavender Sachet | -398871 | PILLOW | -400386 | none |