Fold 1 - 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: 40
Unique residual values tried: 5
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 | 5.000000 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 31779 | 37.012658 | 21.7.5 | 5.7.21 (5*79^2 + 7*79 + 21) | Services > Professional Services > Marketing & Advertising | No |
| 25459 | 37.025316 | 21.6.4 | 4.6.21 (4*79^2 + 6*79 + 21) | Services > Personal Services > Lifestyle Services | No |
| 18819 | 39.000000 | 17.1.3 | 3.1.17 (3*79^2 + 79 + 17) | Media > Books > Print Books | No |
| 8413035 | 39.000000 | 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 1). 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 | BASE_ROYAL ICING, COLORFUL, COLOR_ASSORTED | |
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, COLORFUL, T-SHIRT, TEENS | |
| 9377 | Airbrush In Loving Memory Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, GREEN, NEON | |
| 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 | BLUE, ORANGE, GREEN, T-SHIRT, PORTRAIT | |
| 9389 | Airbrush RIP Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, CLOUDS, FULL, PORTRAIT | |
| 5342 | Airbrush ZOA Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ORANGE, COLORFUL, NEON GREEN, T-SHIRT, TEENS | |
| 5382 | Airbrush Born in the 80s Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 90S, BABY, T-SHIRT, TEENS | |
| 5395 | Airbrush 90's Green Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | NECKLACE, NEON GREEN | |
| 5428 | Airbrush Millennium Tour Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 2021, 90S, NEON GREEN | |
| 5466 | Airbrush King Flames Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE | |
| 5467 | Airbrush Bad AF Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5468 | Airbrush Millennium Tour Blue Splatter Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 2021, 90S | |
| 5469 | Airbrush Millenium Tour Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 2021, 90S, NEON GREEN | |
| 5470 | Airbrush Millenium Tour With Stars 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, 2000S, 90S | |
| 5486 | Airbrush Millennium Tour With Bricks 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 | T-SHIRT, TEENS | |
| 5500 | Airbrush Taurus Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, T-SHIRT, TEENS | |
| 5501 | Airbrush Est. 1998 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ORANGE, SPLATTER, T-SHIRT, TEENS | |
| 5502 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ORANGE | |
| 5511 | Airbrush Pet Splatter Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ORANGE, SPLATTER | |
| 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 | BLUE, ORANGE | |
| 5521 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5522 | Airbrush Pet Portrait 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 | ROUND, ACTIVEWEAR, ATHLEISURE, COTTON | |
| 9358 | Airbrush Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9360 | Airbrush Green 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 | BLUE, CLOUDS | |
| 2076 | Wedding Invite - Printed Peonies (Design Only) | 31779 | Services > Professional Services > Marketing & Advertising | none | -3993746 | none | |
| 2071 | Wedding Invite - Debossed Roses (Design Only) | 31779 | Services > Professional Services > Marketing & Advertising | none | -3993746 | none | |
| 2074 | Wedding Invite - Green Wreath (Design Only) | 25459 | Services > Personal Services > Lifestyle Services | none | -4000066 | none | |
| 8848 | Couleurs : histoire, usages, secrets | 18819 | Media > Books > Print Books | none | -4006706 | none |