Fold 2 - Understanding why coefficient 5036646 was selected
Tag: FANWEAR
Selected Coefficient: 5036646
Taxonomy Path: 1.2.17.10
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps
Products with this tag: 19
Unique residual values tried: 16
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 | 12.025323 | 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 |
| 2571451 | 12.025325 | 1.2.17.5 | 5.17.2.1 (5*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | No |
| 1092334 | 12.025325 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | No |
| 599295 | 12.025325 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 6490720 | 12.075949 | 1.1.13.13 | 13.13.1.1 (13*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | No |
| 3482874 | 12.075949 | 1.5.5.7 | 7.5.5.1 (7*79^3 + 5*79^2 + 5*79 + 1) | Apparel & Accessories > Handbags, Wallets & Cases > Wallets & Money Clips > Wallets | No |
| 0 | 13.000322 | 0 | 0 (0) | No | |
| 1972156 | 13.000327 | 0.0.0.4 | 4.0.0.0 (4*79^3) | No | |
| 1092175 | 13.000801 | 0.0.17.2 | 2.17.0.0 (2*79^3 + 17*79^2) | No | |
| -499280 | 13.000801 | -0.0.1.1 | -1.1.0.0 (-(493039 + 6241)) | No | |
| -4025525 | 16.012660 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| -1560330 | 16.012660 | -1.1.13.3 | -3.13.1.1 (-(3*79^3 + 13*79^2 + 79 + 1)) | No | |
| -3033285 | 16.025316 | -1.2.12.6 | -6.12.2.1 (-(6*79^3 + 12*79^2 + 2*79 + 1)) | No | |
| 94 | 18.000000 | 15.1 | 1.15 (79 + 15) | Luggage & Bags > Backpacks | No |
| 22 | 18.000000 | 22 | 22 (22) | No | |
| 4949837 | 18.000000 | 13.9.3.10 | 10.3.9.13 (10*79^3 + 3*79^2 + 9*79 + 13) | No |
These are the training products that have the "FANWEAR" tag (processing sequence 4487). 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 |
|---|---|---|---|---|---|---|---|
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | 6490720 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | APPAREL, YOUTH | 1454074 | 2022 | |
| 10598 | Mercedes Benz AMG Petronas F1 Stealth Racer Hat - Black | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | 2022 | |
| 8925 | Red Bull Racing F1 New Era 9Fifty Essential Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 0 | none | |
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 4949837 | MD | -86809 | 2022 | ||
| 8662 | Scuderia Ferrari LS Wallet - Blue | 3482874 | Apparel & Accessories > Handbags, Wallets & Cases > Wallets & Money Clips > Wallets | none | -1553772 | 2022 | |
| 8907 | Red Bull Racing F1 New Era AOP Bucket Hat | 2571451 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | -2465195 | none | |
| 8908 | Red Bull Racing F1 New Era Seasonal Bucket Hat | 1972156 | PEACH | -3064490 | none | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | -3944312 | none | |
| 8670 | BMW Motorsports Puma Beanie- Black | 1092175 | MD | -3944471 | none | ||
| 8877 | Alpine Racing F1 New Era 9FORTY Flawless Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -4437351 | none | |
| 8730 | Mercedes Benz AMG Petronas F1 Packable Backpack Black | 94 | Luggage & Bags > Backpacks | none | -5036552 | 2022 | |
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | 22 | MD | -5036624 | 2022 | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | 0 | APPAREL | -5036646 | none | ||
| 8709 | McLaren F1 Women's Speedmark Logo T-Shirt - White | 0 | APPAREL | -5036646 | 2022 | ||
| 8639 | Formula 1 Tech Limited Edition Saudi Arabian Jeddah GP T-Shirt - White | 0 | APPAREL | -5036646 | none | ||
| 8703 | Red Bull Racing F1 Men's Lifestyle Sweatpants - Night Sky | -499280 | APPAREL | -5535926 | none | ||
| 8681 | Red Bull Racing F1 Kids Max Verstappen Driver Hoodie -Youth Orange | -1560330 | MAX VERSTAPPEN, APPAREL | -6596976 | none | ||
| 8689 | Porsche Design Women's Functional Pique Polo - Dark Blue | -3033285 | APPAREL, MD | -8069931 | none | ||
| 8682 | Red Bull Racing F1 Kids Max Verstappen Driver T-Shirt - White/Exotic Orange | -4025525 | MAX VERSTAPPEN, APPAREL | -9062171 | none |