Fold 3 - Understanding why coefficient 6447113 was selected
Tag: SHIRT
Selected Coefficient: 6447113
Taxonomy Path: 2.2.6.13
Taxonomy Name: Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| 6447113 | 3.000000 | 2.2.6.13 | 13.6.2.2 (13*79^3 + 6*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | Yes |
| -5997681 | 10.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| 3451273 | 10.000000 | 0.0.0.7 | 7.0.0.0 (7*79^3) | No | |
| 3532486 | 10.000000 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
These are the training products that have the "SHIRT" tag (processing sequence 171). 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 |
|---|---|---|---|---|---|---|---|
| 11351 | I Bark at Ugly People Shirt | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SALE, SPRING / SUMMER | |
| 11271 | Going About my Business Dog Shirt | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SALE, SPRING / SUMMER | |
| 11287 | Dogs Rule Dog Shirt | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SALE, SPRING / SUMMER | |
| 11288 | Just for Fun Print Dog Shirts | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SALE, SPRING / SUMMER | |
| 11093 | Keep it Country Dog Shirt | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SPRING / SUMMER, BIG DOG | |
| 11095 | Leopard Print Big Dog Shirt | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SPRING / SUMMER, BIG DOG | |
| 11261 | Smart Dog Shirt with Collar | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, SALE, SPRING / SUMMER | |
| 11270 | Luxury Dog Pajama Top | 6447113 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Shirts | none | 0 | AUTUMN / WINTER, PAJAMAS, SPRING / SUMMER | |
| 831 | Beau Shirt: Stripe | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -2914627 | STRIPED | |
| 44 | Patriotic ‘AMERICA’ Women’s Crop Tee | 3451273 | CROP TOP | -2995840 | CLOTHING | ||
| 9145 | 140.6 Standing Tall Shirt | -5997681 | GREEN, BLUE | -12444794 | GREY |