Fold 0 - 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: 17
Unique residual values tried: 8
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 | 5.012668 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 1092334 | 5.012674 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 5036646 | 5.012679 | 1.2.17.10 | 10.17.2.1 (10*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | No |
| 2571451 | 5.012679 | 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 |
| 2889584 | 5.139241 | 1.0.68.5 | 5.68.0.1 (5*79^3 + 68*79^2 + 1) | No | |
| -3732357 | 15.000000 | -2.3.45.7 | -7.45.3.2 (-(7*79^3 + 45*79^2 + 3*79 + 2)) | No | |
| -3451273 | 15.000000 | -0.0.0.7 | -7.0.0.0 (-(7*79^3)) | No | |
| -3613698 | 16.000000 | -1.2.26.7 | -7.26.2.1 (-(7*79^3 + 26*79^2 + 2*79 + 1)) | No |
These are the training products that have the "HAT" tag (processing sequence 1655). 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 |
|---|---|---|---|---|---|---|---|
| 11088 | Brush | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 10602 | Brimmed Garden Dog Hats | 2889584 | ACCESSORIES | 2290289 | SPRING / SUMMER | ||
| 4604 | Orange Fishermen Hat by CHINESE BABY COMPANY | 2571451 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | 1972156 | none | |
| 1408 | IAM Worthy Scully | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | BEANIE | |
| 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 I’m Trying! Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4590 | Basquiat Baby Dad Hat White | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4589 | CHINESE BABY COMPANY 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 | |
| 4602 | Mandarin Pink God Knows I’m Trying! Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 11365 | Dog Helmets | -3451273 | AUTUMN / WINTER | -4050568 | SPRING / SUMMER | ||
| 10703 | Marbled Grey Knitted Warm Dog Beanie | -3451273 | AUTUMN / WINTER | -4050568 | BEANIE | ||
| 10708 | Beanie & Scarf Dog Combo | -3613698 | SCARF, AUTUMN / WINTER | -4212993 | BEANIE | ||
| 12401 | AJM Acrylic Board Toque, Chunky waffle knit 1A130M | -3732357 | 100% ACRYLIC, AJM, BLANK | -4331652 | OSFA, BEANIE | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -3732357 | 100% ACRYLIC, AJM, BLANK | -4331652 | OSFA, BEANIE |