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: 19
Unique residual values tried: 10
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 | 9.012666 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 1092334 | 9.012672 | 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 | 9.012674 | 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 | 9.012674 | 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 |
| 2396545 | 9.113924 | 1.0.68.4 | 4.68.0.1 (4*79^3 + 68*79^2 + 1) | No | |
| 3488879 | 15.000160 | 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 |
| 18883 | 15.000481 | 2.2.3 | 3.2.2 (3*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Dog Supplies | No |
| 0 | 15.012658 | 0 | 0 (0) | No | |
| 2234120 | 15.037975 | 0.77.41.4 | 4.41.77.0 (4*79^3 + 41*79^2 + 77*79) | No | |
| -199871 | 18.000000 | -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 3878). 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 | |
| 4604 | Orange Fishermen Hat by CHINESE BABY COMPANY | 2571451 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | 1972156 | none | |
| 10703 | Marbled Grey Knitted Warm Dog Beanie | 2396545 | BEANIE | 1797250 | none | ||
| 10708 | Beanie & Scarf Dog Combo | 2234120 | SCARF, BEANIE | 1634825 | none | ||
| 10241 | Cable knit beanie with faux fur pom - Black | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | none | |
| 10234 | Cable knit beanie with faux fur pom - Dark Grey | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 493039 | none | |
| 18715 | Pink Bunny Ball Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 4603 | Memphis Blue God Knows I’m Trying! 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 | |
| 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 | |
| 20441 | WONTON The Duck FISHERMAN HAT | 18883 | Animals & Pet Supplies > Pet Supplies > Dog Supplies | none | -580412 | 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 | ||
| 1408 | IAM Worthy Scully | 0 | BEANIE | -599295 | none | ||
| 12412 | AJM AJM Acrylic Board Toque, Chunky Cable Knit 9J037M | -199871 | BEANIE, AJM | -799166 | none |