Fold 3 - Understanding why coefficient 599295 was selected
Tag: HATS
Selected Coefficient: 599295
Taxonomy Path: 1.2.17.1
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps
Products with this tag: 16
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 | 2.012831 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | Yes |
| 5036646 | 2.012837 | 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 |
| 106256 | 2.012839 | 1.2.17 | 17.2.1 (17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats | No |
| 7008802 | 2.012841 | 1.2.17.14 | 14.17.2.1 (14*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | No |
| 162425 | 2.014581 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 6479 | 2.164557 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 3488879 | 14.000000 | 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 "HATS" tag (processing sequence 3798). 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 |
|---|---|---|---|---|---|---|---|
| 14181 | Unisex Trucker Hat | 7008802 | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | none | 6409507 | none | |
| 3978 | Chippewar Skript Camo Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 4012 | Honour The Treaties Snapback Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 4044 | NISH Camo Brim Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 4437351 | none | |
| 10601 | Happy Birthday Cake Dog Hat | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 10603 | Sunnytime Trucker Dog Caps | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 2889584 | none | |
| 9678 | Baseball Yellow Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 292 | Babygirl Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 293 | Babygirl Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 5839 | Lama Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 277 | Alycia Mikay Imprint Baseball Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 11976 | Original Knot Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | 0 | none | |
| 5067 | Embroidered Trim Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -436870 | none | |
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | -493039 | WEARABLES, ADVENTURE | |
| 13006 | Hip Hip Hooray Party Hats, Assorted, 7" | 9 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | -493039 | WEARABLES | |
| 13012 | Horse Head Hat | 1 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -592816 | none |