Fold 4 - Understanding why coefficient 106256 was selected
Tag: HATS
Selected Coefficient: 106256
Taxonomy Path: 1.2.17
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats
Products with this tag: 6
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 106256 | 3.012658 | 1.2.17 | 17.2.1 (17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats | Yes |
| 6479 | 3.025316 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 3488879 | 4.000000 | 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 |
| -3039447 | 5.000000 | -1.1.13.6 | -6.13.1.1 (-(6*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "HATS" tag (processing sequence 3669). 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 |
|---|---|---|---|---|---|---|---|
| 10601 | Happy Birthday Cake Dog Hat | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 3382623 | none | |
| 10603 | Sunnytime Trucker Dog Caps | 3488879 | Animals & Pet Supplies > Pet Supplies > Pet Apparel > Pet Hats | none | 3382623 | none | |
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | 0 | none | |
| 13006 | Hip Hip Hooray Party Hats, Assorted, 7" | 9 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | 0 | none | |
| 13012 | Horse Head Hat | 1 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -99777 | none | |
| 24630 | Daisy Swim Hat Final Sale - White Poppy | -3039447 | SS23 | -3145703 | SPO-DEFAULT, SPO-NOTIFY-ME-DISABLED |