Fold 3 - Understanding why coefficient 156184 was selected
Tag: WEARABLES
Selected Coefficient: 156184
Taxonomy Path: 1.2.25
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Sashes
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| 156184 | 5.038135 | 1.2.25 | 25.2.1 (25*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Sashes | Yes |
| 106256 | 5.038616 | 1.2.17 | 17.2.1 (17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats | No |
| 6479 | 5.063291 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 0 | 11.000000 | 0 | 0 (0) | No | |
| -3382623 | 12.000000 | -1.0.68.6 | -6.68.0.1 (-(6*79^3 + 68*79^2 + 1)) | No | |
| -2415017 | 12.000000 | -66.75.70.4 | -4.70.75.66 (-(4*79^3 + 70*79^2 + 75*79 + 66)) | No | |
| 1960084 | 12.000000 | 15.5.77.3 | 3.77.5.15 (3*79^3 + 77*79^2 + 5*79 + 15) | No |
These are the training products that have the "WEARABLES" tag (processing sequence 3735). 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 |
|---|---|---|---|---|---|---|---|
| 13416 | Little Miss One-derful First Birthday Lace Crown | 1 ct | 1960084 | LITTLE MISS ONE-DERFUL, CROWN | 1803900 | none | ||
| 13245 | Sparkling Celebration Fabric Sash, 50 | 1 ct | 156184 | Apparel & Accessories > Clothing Accessories > Sashes | none | 0 | none | |
| 13233 | Sparkling Celebration Fabric Sash, 30 | 1 ct | 156184 | Apparel & Accessories > Clothing Accessories > Sashes | none | 0 | none | |
| 12928 | Modern Birthday Deluxe Sash | 1 ct | 156184 | Apparel & Accessories > Clothing Accessories > Sashes | none | 0 | none | |
| 13246 | Sparkling Celebration Fabric Sash, 60 | 1 ct | 156184 | Apparel & Accessories > Clothing Accessories > Sashes | none | 0 | none | |
| 13037 | Modern Birthday Large Cone Hat, 10.5" | 1 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | -49928 | none | |
| 13058 | Oui Party Birthday Party Hats | 8 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -149705 | none | |
| 13042 | Modern Birthday Mini Foil Cone Hats, Assortment 4" | 12 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -149705 | none | |
| 13095 | Princess Party Hats | 8 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -149705 | none | |
| 13079 | Pawsome Party Headbands, Assorted | 4 ct | 0 | HEADBANDS | -156184 | none | ||
| 11326 | Crafting wearables + Fabtronic Sewing Set | 0 | none | -156184 | none | ||
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | -2415017 | ADVENTURE, HATS | -2571201 | none | ||
| 13006 | Hip Hip Hooray Party Hats, Assorted, 7" | 9 ct | -3382623 | HATS | -3538807 | none |