Fold 4 - 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: 43
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 | 40.012658 | 21.7.5 | 5.7.21 (5*79^2 + 7*79 + 21) | Services > Professional Services > Marketing & Advertising | No |
| 25459 | 40.025316 | 21.6.4 | 4.6.21 (4*79^2 + 6*79 + 21) | Services > Personal Services > Lifestyle Services | No |
| 18819 | 42.000000 | 17.1.3 | 3.1.17 (3*79^2 + 79 + 17) | Media > Books > Print Books | No |
| 162517 | 42.000000 | 14.3.26 | 26.3.14 (26*79^2 + 3*79 + 14) | Home & Garden > Decor > Door Mats | 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 |
|---|---|---|---|---|---|---|---|
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 80S, COLORFUL, T-SHIRT, TEENS | |
| 9376 | Airbrush Memorial Pet Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ANIMAL | |
| 9378 | Airbrush Pet w/ Wings Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ANIMAL | |
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 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 | PORTRAIT | |
| 9389 | Airbrush RIP Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, FULL, PORTRAIT | |
| 5342 | Airbrush ZOA Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, BLUE, 80S, COLORFUL, T-SHIRT, TEENS | |
| 5394 | Airbrush Bomb Zodiac Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 80S | |
| 5428 | Airbrush Millennium Tour Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 80S, 90S, NUMBERS | |
| 5437 | Airbrush Scorpio Szn Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GREEN, BRICKS, BLUE, 80S | |
| 5450 | Airbrush 90's Neon Boombox Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | NECKLACE, GOLD, BRICKS, BLUE, 80S | |
| 5451 | Airbrush Playboy Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, 90S | |
| 5466 | Airbrush King Flames Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, 80S | |
| 5467 | Airbrush Bad AF Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, NEON YELLOW | |
| 5468 | Airbrush Millennium Tour Blue Splatter Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, 80S, 90S, NUMBERS | |
| 5469 | Airbrush Millenium Tour Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, 90S, NUMBERS | |
| 5470 | Airbrush Millenium Tour With Stars Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, 90S, NEON YELLOW, NUMBERS, TOUR | |
| 5486 | Airbrush Millennium Tour With Bricks Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BRICKS, 80S, 90S, NUMBERS | |
| 5496 | Airbrush Millennium Tour 2021 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, 90S, NUMBERS | |
| 5497 | Airbrush Hot Girl Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | 80S, T-SHIRT, TEENS | |
| 5500 | Airbrush Taurus Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, 80S, T-SHIRT, TEENS | |
| 5501 | Airbrush Est. 1998 Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, SPLATTER, BLUE, 80S, T-SHIRT, TEENS | |
| 5502 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | CAT, BOX, ANIMAL, NAMES | |
| 5509 | Airbrush Pet Portrait With Blue Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GRAY, BOX, BLUE, ANIMAL, NAMES | |
| 5510 | Airbrush Pet Portrait With Rainbow Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, BLUE, ANIMAL, NAMES, NEON YELLOW, RAINBOW | |
| 5511 | Airbrush Pet Splatter Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | ORANGE, SPLATTER, BLUE, ANIMAL, NAMES | |
| 5512 | Airbrush Pet Portrait With Green Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GREEN, WHITE, CAT, ANIMAL, NAMES | |
| 5513 | Airbrush Pet Portrait With Blue Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, ORANGE, CAT, BLUE, ANIMAL, NAMES, TAN | |
| 5521 | Airbrush Pet Portrait With Purple Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | CAT, ANIMAL, NAMES | |
| 5522 | Airbrush Pet Portrait Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, CAT, ANIMAL, NAMES | |
| 5534 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, CAT, ANIMAL, NAMES, NEON YELLOW | |
| 6745 | Luxury Heavyweight Tee, Black | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | GRAPHIC, COTTON | |
| 9359 | Airbrush Cat Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, ANIMAL, NAMES, NEON YELLOW | |
| 9360 | Airbrush Green Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, CAT, ANIMAL, NAMES | |
| 9361 | Airbrush Pet Portrait Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | WHITE, ANIMAL, NAMES | |
| 9363 | Airbrush Purple Pet Portrait 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, ANIMAL | |
| 9375 | Airbrush Pet w/ Wings And Clouds Memorial Shirt Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | BLUE, ANIMAL | |
| 8339 | Custom Designed - Free Delivery | 162517 | Home & Garden > Decor > Door Mats | none | -3863008 | none | |
| 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 |