Fold 3 - Understanding why coefficient 4025525 was selected
Tag: DESIGN
Selected Coefficient: 4025525
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? |
|---|---|---|---|---|---|
| 4025525 | 3.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 18819 | 38.000000 | 17.1.3 | 3.1.17 (3*79^2 + 79 + 17) | Media > Books > Print Books | No |
| 162517 | 38.000000 | 14.3.26 | 26.3.14 (26*79^2 + 3*79 + 14) | Home & Garden > Decor > Door Mats | No |
| 8413035 | 38.000000 | 9.2.5.17 | 17.5.2.9 (17*79^3 + 5*79^2 + 2*79 + 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 | 8413035 | Food, Beverages & Tobacco > Food Items > Cooking & Baking Ingredients > Edible Baking Decorations | none | 4387510 | FASHION, BASE_ROYAL ICING, COLOR_ASSORTED | |
| 5394 | Airbrush Bomb Zodiac Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE | |
| 5395 | Airbrush 90's Green Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | NECKLACE, BRICKS | |
| 5437 | Airbrush Scorpio Szn Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GREEN, BLUE, BRICKS | |
| 5450 | Airbrush 90's Neon Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GOLD, NECKLACE, PINK, BLUE, BRICKS | |
| 5451 | Airbrush Playboy Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, 90S | |
| 5466 | Airbrush King Flames Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE | |
| 5469 | Airbrush Millenium Tour Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 2021, 90S | |
| 5485 | Airbrush For The '99 and the 2000 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, BRICKS, 2000S, 90S, MILLENNIUM | |
| 5486 | Airbrush Millennium Tour With Bricks Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BRICKS, 2021, 90S | |
| 5496 | Airbrush Millennium Tour 2021 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 2021, 90S | |
| 5497 | Airbrush Hot Girl Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, COLOR, T-SHIRT, TEENS | |
| 5500 | Airbrush Taurus Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, ORANGE, COLOR, T-SHIRT, TEENS | |
| 5502 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BOX | |
| 5509 | Airbrush Pet Portrait With Blue Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, BOX, GRAY, TEAL | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, ORANGE, BLUE, TEAL, RAINBOW | |
| 5512 | Airbrush Pet Portrait With Green Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GREEN | |
| 5513 | Airbrush Pet Portrait With Blue Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, BLUE | |
| 5521 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5534 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 6745 | Luxury Heavyweight Tee, Black | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GRAPHIC | |
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, BLUE, HEARTS, T-SHIRT, TEENS | |
| 9389 | Airbrush RIP Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, CLOUDS, FULL, PORTRAIT | |
| 5382 | Airbrush Born in the 80s Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, BRICKS, 90S, BABY, T-SHIRT, TEENS | |
| 9358 | Airbrush Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9359 | Airbrush Cat Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9361 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9362 | Airbrush Dog Portrait w/ Name Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9363 | Airbrush Purple Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9364 | Airbrush Pet Portrait with Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9365 | Airbrush Memorial Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE | |
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, BLUE, CLOUDS, TEAL | |
| 9376 | Airbrush Memorial Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE | |
| 9377 | Airbrush In Loving Memory Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, GREEN, BLUE | |
| 9378 | Airbrush Pet w/ Wings Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, CLOUDS | |
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | PINK, GREEN, ORANGE, BLUE, T-SHIRT, PORTRAIT, RAINBOW | |
| 9387 | Airbrush Long Live Portrait With Butterflies Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GIRL, PORTRAIT | |
| 8339 | Custom Designed - Free Delivery | 162517 | Home & Garden > Decor > Door Mats | none | -3863008 | none | |
| 8848 | Couleurs : histoire, usages, secrets | 18819 | Media > Books > Print Books | none | -4006706 | none |