Fold 0 - Understanding why coefficient 5036646 was selected
Tag: HATS
Selected Coefficient: 5036646
Taxonomy Path: 1.2.17.10
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps
Products with this tag: 18
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| 7008802 | 5.000176 | 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 |
| 5036646 | 5.000176 | 1.2.17.10 | 10.17.2.1 (10*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | Yes |
| 599295 | 5.000178 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 1092334 | 5.000183 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 162425 | 5.001923 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 3488879 | 16.000000 | 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 |
| -49928 | 17.000000 | -0.0.8 | -8.0.0 (-(8*79^2)) | No | |
| 2570883 | 17.000000 | 65.73.16.5 | 5.16.73.65 (5*79^3 + 16*79^2 + 73*79 + 65) | No | |
| -42735 | 17.000000 | -75.66.6 | -6.66.75 (-(6*79^2 + 66*79 + 75)) | No |
These are the training products that have the "HATS" tag (processing sequence 4407). 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 |
|---|---|---|---|---|---|---|---|
| 3977 | CHIPPEWAR SCRIBIBLE Trucker Hat | 7008802 | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | none | 1972156 | none | |
| 4027 | Make Turtle Island Indigenous Again -Hat | 7008802 | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | none | 1972156 | none | |
| 3988 | Decolonize FUCK | 7008802 | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | none | 1972156 | none | |
| 14181 | Unisex Trucker Hat | 7008802 | Apparel & Accessories > Clothing Accessories > Hats > Trucker Hats | none | 1972156 | none | |
| 4012 | Honour The Treaties Snapback Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | none | |
| 3978 | Chippewar Skript Camo Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | none | |
| 5924 | 7IS authentic cap. | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | none | |
| 4044 | NISH Camo Brim Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | none | |
| 10603 | Sunnytime Trucker Dog Caps | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | -1547767 | none | |
| 10601 | Happy Birthday Cake Dog Hat | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | -1547767 | none | |
| 8987 | ASRV Hipora® Bucket Hat - Black | 2570883 | ACCESSORY-SIZE-ONE-SIZE | -2465763 | none | ||
| 12627 | Knit Watch Cap Black | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | -3944312 | none | |
| 277 | Alycia Mikay Imprint Baseball Cap | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -4437351 | none | |
| 11976 | Original Knot Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -4437351 | none | |
| 9678 | Baseball Yellow Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -4437351 | none | |
| 5067 | Embroidered Trim Scarf | 162425 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | -4874221 | none | |
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | -42735 | BEAR, WEARABLES | -5079381 | none | ||
| 13006 | Hip Hip Hooray Party Hats, Assorted, 7" | 9 ct | -49928 | WEARABLES | -5086574 | none |