Fold 3 - Understanding why coefficient 599295 was selected
Tag: HAT
Selected Coefficient: 599295
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 11
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 599295 | 5.000006 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 1092334 | 5.000008 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 2571451 | 5.000010 | 1.2.17.5 | 5.17.2.1 (5*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | No |
| -986078 | 8.000002 | -0.0.0.2 | -2.0.0.0 (-(2*79^3)) | No | |
| 0 | 8.000004 | 0 | 0 (0) | No | |
| -2240837 | 10.000000 | -2.4.43.4 | -4.43.4.2 (-(4*79^3 + 43*79^2 + 4*79 + 2)) | No | |
| 3488879 | 10.000000 | 2.2.6.7 | 7.6.2.2 (7*79^3 + 6*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | No |
These are the training products that have the "HAT" tag (processing sequence 1657). 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 |
|---|---|---|---|---|---|---|---|
| 10602 | Brimmed Garden Dog Hats | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | SPRING / SUMMER | |
| 4604 | Orange Fishermen Hat by CHINESE BABY COMPANY | 2571451 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | 1972156 | none | |
| 10234 | Cable knit beanie with faux fur pom - Dark Grey | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | none | |
| 10241 | Cable knit beanie with faux fur pom - Black | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | none | |
| 4603 | Memphis Blue God Knows Iām Trying! Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4587 | Basquiat Baby Dad Hat Black | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4591 | CHINESE BABY COMPANY Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 1408 | IAM Worthy Scully | 0 | BEANIE | -599295 | none | ||
| 11257 | Snuggly Dog Beanie Hat | -986078 | AUTUMN / WINTER | -1585373 | SALE, BIG DOG | ||
| 11365 | Dog Helmets | -986078 | AUTUMN / WINTER | -1585373 | SALE, SPRING / SUMMER | ||
| 10708 | Beanie & Scarf Dog Combo | -2240837 | SCARF, BEANIE, AUTUMN / WINTER | -2840132 | none |