Fold 1 - 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: 19
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 | 8.012664 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 1092334 | 8.012676 | 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 | 8.012676 | 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 |
| 5036646 | 8.012676 | 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 |
| 3326454 | 8.126582 | 1.0.59.6 | 6.59.0.1 (6*79^3 + 59*79^2 + 1) | No | |
| 3488879 | 15.000000 | 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 |
| 0 | 17.000000 | 0 | 0 (0) | No | |
| -199871 | 17.000000 | -1.2.32 | -32.2.1 (-(32*79^2 + 2*79 + 1)) | No |
These are the training products that have the "HAT" tag (processing sequence 3378). 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 | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 11257 | Snuggly Dog Beanie Hat | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 11365 | Dog Helmets | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 10703 | Marbled Grey Knitted Warm Dog Beanie | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 10708 | Beanie & Scarf Dog Combo | 3326454 | SCARF | 2727159 | none | ||
| 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 | |
| 18721 | 3D Cat Baseball Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | APPAREL, CATALOG | |
| 4589 | CHINESE BABY COMPANY 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 | |
| 4591 | CHINESE BABY COMPANY Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4602 | Mandarin Pink God Knows Iām Trying! Dad Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 18715 | Pink Bunny Ball Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | APPAREL, CATALOG | |
| 4587 | Basquiat Baby Dad Hat Black | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 17759 | Toronto Blue Jays New Era Brown/Charcoal Two-Tone Color Pack 59FIFTY Fitted Hat | 0 | FITTED | -599295 | none | ||
| 17760 | Toronto Blue Jays New Era 2023 Mother's Day On-Field 59FIFTY Fitted Hat | 0 | FITTED | -599295 | none | ||
| 12401 | AJM Acrylic Board Toque, Chunky waffle knit 1A130M | -199871 | 100% ACRYLIC, AJM | -799166 | none | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -199871 | 100% ACRYLIC, AJM | -799166 | none |