Fold 3 - Understanding why coefficient 2928893 was selected
Tag: DESIGN
Selected Coefficient: 2928893
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 39
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? |
|---|---|---|---|---|---|
| 2928893 | 3.000000 | 1.1.13.8 | 8.13.1.1 (8*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 15211 | 38.000000 | 17.1.3 | 3.1.17 (3*71^2 + 71 + 17) | Media > Books > Print Books | No |
| 131293 | 38.000000 | 14.3.26 | 26.3.14 (26*71^2 + 3*71 + 14) | Home & Garden > Decor > Door Mats | No |
| 6109843 | 38.000000 | 9.2.5.17 | 17.5.2.9 (17*71^3 + 5*71^2 + 2*71 + 9) | Food, Beverages & Tobacco > Food Items > Cooking & Baking Ingredients > Edible Baking Decorations | No |
These are the training products that have the "DESIGN" tag (processing sequence 0). 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 |
|---|---|---|---|---|---|---|---|
| 7134 | 1.5" Eiffel Tower Assortment | 6109843 | Food, Beverages & Tobacco > Food Items > Cooking & Baking Ingredients > Edible Baking Decorations | none | 3180950 | BASE_ROYAL ICING, COLORFUL, COLOR_ASSORTED | |
| 5382 | Airbrush Born in the 80s Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, T-SHIRT, BRICKS, YELLOW, 90S | |
| 5394 | Airbrush Bomb Zodiac Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE | |
| 5395 | Airbrush 90's Green Boombox Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, NECKLACE, BRICKS, YELLOW, NEON GREEN | |
| 5437 | Airbrush Scorpio Szn Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, BRICKS | |
| 5451 | Airbrush Playboy Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, 90S | |
| 5466 | Airbrush King Flames Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, YELLOW | |
| 5467 | Airbrush Bad AF Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5468 | Airbrush Millennium Tour Blue Splatter Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, MILLENNIUM TOUR, 2021, 90S | |
| 5469 | Airbrush Millenium Tour Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | MILLENNIUM TOUR, 2021, 90S, NEON GREEN | |
| 5470 | Airbrush Millenium Tour With Stars Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 2021, 90S, MILLENNIUM | |
| 5485 | Airbrush For The '99 and the 2000 Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, BRICKS, 2000S, 90S, MILLENNIUM | |
| 5486 | Airbrush Millennium Tour With Bricks Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BRICKS, MILLENNIUM TOUR, 2021, 90S | |
| 5497 | Airbrush Hot Girl Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, T-SHIRT, COLOR | |
| 5500 | Airbrush Taurus Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, T-SHIRT, ORANGE, COLOR | |
| 5501 | Airbrush Est. 1998 Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, T-SHIRT, ORANGE, COLOR | |
| 5502 | Airbrush Pet Portrait With Purple Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, CAT, PUPPY | |
| 5509 | Airbrush Pet Portrait With Blue Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG, GRAY, PUPPY | |
| 5513 | Airbrush Pet Portrait With Blue Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, PET, WHITE, ORANGE, TAN, CAT | |
| 5521 | Airbrush Pet Portrait With Purple Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PET, CAT | |
| 5534 | Airbrush Pet Portrait Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, WHITE, CAT | |
| 6745 | Luxury Heavyweight Tee, Black | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, ROUND, OVERSIZED, AVAILABLE, COTTON | |
| 9389 | Airbrush RIP Portrait Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, PORTRAIT | |
| 9387 | Airbrush Long Live Portrait With Butterflies Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PORTRAIT, GIRL | |
| 5342 | Airbrush ZOA Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, T-SHIRT, ORANGE, COLORFUL, NEON GREEN | |
| 9358 | Airbrush Pet Portrait Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, WHITE, CAT | |
| 9359 | Airbrush Cat Portrait Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PET, WHITE | |
| 9361 | Airbrush Pet Portrait Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, WHITE, DOG, PUPPY | |
| 9362 | Airbrush Dog Portrait w/ Name Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, DOG, PUPPY | |
| 9363 | Airbrush Purple Pet Portrait Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, DOG, PUPPY | |
| 9364 | Airbrush Pet Portrait with Purple Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, PET, DOG, PUPPY | |
| 9365 | Airbrush Memorial Pet Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG | |
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG | |
| 9376 | Airbrush Memorial Pet Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG | |
| 9377 | Airbrush In Loving Memory Pet Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG, CAT | |
| 9378 | Airbrush Pet w/ Wings Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLACK, BLUE, PET, DOG | |
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, T-SHIRT, PORTRAIT, ORANGE, YELLOW, RAINBOW | |
| 8339 | Custom Designed - Free Delivery | 131293 | Home & Garden > Decor > Door Mats | none | -2797600 | none | |
| 8848 | Couleurs : histoire, usages, secrets | 15211 | Media > Books > Print Books | none | -2913682 | none |