Fold 1 - 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: 16
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| 5036646 | 6.012827 | 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 |
| 7008802 | 6.012829 | 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 |
| 599295 | 6.012833 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 162425 | 6.013940 | 1.2.26 | 26.2.1 (26*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 6479 | 6.113924 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 5810212 | 13.012660 | 78.76.61.11 | 11.61.76.78 (11*79^3 + 61*79^2 + 76*79 + 78) | No | |
| -599295 | 13.012660 | -1.2.17.1 | -1.17.2.1 (-(493039 + 17*79^2 + 2*79 + 1)) | No | |
| -4025525 | 13.025316 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| 2570883 | 15.000000 | 65.73.16.5 | 5.16.73.65 (5*79^3 + 16*79^2 + 73*79 + 65) | No | |
| -2939593 | 15.000000 | -3.1.76.5 | -5.76.1.3 (-(5*79^3 + 76*79^2 + 79 + 3)) | No | |
| -3451273 | 15.000000 | -0.0.0.7 | -7.0.0.0 (-(7*79^3)) | No |
These are the training products that have the "HATS" tag (processing sequence 1654). 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 | 5810212 | EMBROIDERY, ACCESSORIES | 773566 | none | ||
| 5924 | 7IS authentic cap. | 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 | |
| 4012 | Honour The Treaties Snapback Hat | 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 | |
| 8987 | ASRV Hipora® Bucket Hat - Black | 2570883 | ACCESSORIES, ACCESSORY-SIZE-ONE-SIZE, ASRV | -2465763 | none | ||
| 11976 | Original Knot 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 | |
| 13012 | Horse Head Hat | 1 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -5030167 | none | |
| 292 | Babygirl Cap | -599295 | EMBROIDERY, ACCESSORIES | -5635941 | none | ||
| 12627 | Knit Watch Cap Black | -2939593 | APPAREL, BFCM | -7976239 | none | ||
| 10601 | Happy Birthday Cake Dog Hat | -3451273 | AUTUMN / WINTER | -8487919 | SPRING / SUMMER | ||
| 9678 | Baseball Yellow Hat | -4025525 | 2023LAUNCH, ACCESSORIES | -9062171 | none |