Fold 1 - Understanding why coefficient -2873370 was selected
Tag: JOGGERS
Selected Coefficient: -2873370
Taxonomy Path: -0.0.2.8
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -2873370 | 5.000397 | -0.0.2.8 | -8.2.0.0 (-(8*71^3 + 2*71^2)) | Yes | |
| -362952 | 5.000397 | -0.0.1.1 | -1.1.0.0 (-(357911 + 5041)) | No | |
| 2565941 | 6.000198 | 1.1.12.7 | 7.12.1.1 (7*71^3 + 12*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Pants > Joggers | No |
| 2576023 | 6.000397 | 1.1.14.7 | 7.14.1.1 (7*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
| -10162800 | 8.000000 | -2.2.28.28 | -28.28.2.2 (-(28*71^3 + 28*71^2 + 2*71 + 2)) | No | |
| -7233907 | 8.000000 | -1.1.15.20 | -20.15.1.1 (-(20*71^3 + 15*71^2 + 71 + 1)) | No |
These are the training products that have the "JOGGERS" tag (processing sequence 58). 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 |
|---|---|---|---|---|---|---|---|
| 3940 | Smooth Plaid Men's Jogger Shorts | 2576023 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 5449393 | SUMMER SETS | |
| 4451 | Tribal Top Men's Joggers | 2565941 | Apparel & Accessories > Clothing > Pants > Joggers | none | 5439311 | none | |
| 6835 | Cream Joggers | 2565941 | Apparel & Accessories > Clothing > Pants > Joggers | none | 5439311 | COME | |
| 5220 | Airbrush Pink Lightning Joggers Design | -362952 | WHITE | 2510418 | YELLOW, NEON, BOTTOMS | ||
| 6830 | Black Joggers | -362952 | BLACK | 2510418 | COME | ||
| 9489 | Airbrush Crop Top And Jogger Set With Name | -2873370 | WHITE | 0 | none | ||
| 5081 | Airbrush 1995 Crop Top And Jogger Set | -2873370 | WHITE | 0 | none | ||
| 5159 | Airbrush Bubble Font Crop Top And Jogger Set | -7233907 | BLUE, WHITE | -4360537 | BRICKS | ||
| 5176 | Airbrush 1995 Crop Top And Jogger Set | -10162800 | BLACK, BLUE, WHITE | -7289430 | none |