Fold 4 - Understanding why coefficient 4025525 was selected
Tag: T-SHIRT
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 28
Unique residual values tried: 12
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 | 12.000322 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 5997681 | 12.000347 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 78892561 | 12.002243 | 1.1.1.2.2 | 2.2.1.1.1 (2*79^4 + 2*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | No |
| 0 | 22.012818 | 0 | 0 (0) | No | |
| 4406146 | 22.013299 | 0.0.74.8 | 8.74.0.0 (8*79^3 + 74*79^2) | No | |
| 2957681 | 22.063291 | 0.72.78.5 | 5.78.72.0 (5*79^3 + 78*79^2 + 72*79) | No | |
| 1366146 | 26.012658 | 78.70.60.2 | 2.60.70.78 (2*79^3 + 60*79^2 + 70*79 + 78) | No | |
| -4025525 | 26.012658 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No | |
| -11614741 | 27.000000 | -3.3.44.23 | -23.44.3.3 (-(23*79^3 + 44*79^2 + 3*79 + 3)) | No | |
| -4025521 | 27.000000 | -76.0.13.8 | -8.13.0.76 (-(8*79^3 + 13*79^2 + 76)) | No | |
| -5998406 | 27.000000 | -15.10.13.12 | -12.13.10.15 (-(12*79^3 + 13*79^2 + 10*79 + 15)) | No | |
| -11009284 | 27.000000 | -2.2.26.22 | -22.26.2.2 (-(22*79^3 + 26*79^2 + 2*79 + 2)) | No |
These are the training products that have the "T-SHIRT" tag (processing sequence 2845). 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 |
|---|---|---|---|---|---|---|---|
| 291 | Athletic DNA Football Tee | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74867036 | none | |
| 8192 | Origin Active T-shirt | 78892561 | Apparel & Accessories > Clothing > Activewear > Activewear Tops > T-Shirts | none | 74867036 | none | |
| 5497 | Airbrush Hot Girl Shirt Design | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, 80S | 1972156 | TEENS | |
| 5500 | Airbrush Taurus Shirt Design | 4406146 | DESIGN, ORANGE, 80S | 380621 | TEENS | ||
| 341 | I Can't Breathe T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 14059 | Graffiti Porsche T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 309 | Fancy Good Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 390 | Men's Team Parks t-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 401 | Get In Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11044 | Fresh Start | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11043 | Fresh Start | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 5838 | Funny Pink Bear Fortnite T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11033 | I-5 Canoe | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11019 | Unity Pride | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 10475 | Your Opinion Will Never Cut Me A Check T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 11018 | Unity Pride | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 320 | Good Trouble T-shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | none | |
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | 2957681 | DESIGN, BLUE, 80S, COLORFUL | -1067844 | TEENS | ||
| 5342 | Airbrush ZOA Shirt Design | 1366146 | DESIGN, ORANGE, BLUE, 80S, COLORFUL | -2659379 | TEENS | ||
| 5501 | Airbrush Est. 1998 Shirt Design | 0 | DESIGN, ORANGE, SPLATTER, BLUE, 80S | -4025525 | TEENS | ||
| 321 | Good Vibes Only T-shirt | 0 | TEE | -4025525 | none | ||
| 384 | Men's Cotton Crew Tee | 0 | TEE | -4025525 | none | ||
| 8592 | No One Should Live In a Closet - Gay Pride Top | 0 | APPAREL | -4025525 | none | ||
| 348 | Infant "Simply Dope" Tee | -4025521 | TEE | -8051046 | none | ||
| 45 | Patriotic ‘AMERICA’ Women's Racerback Tank | -4025525 | TANK TOP, APPAREL | -8051050 | none | ||
| 1898 | Women's We Can Do It Unicorn T-Shirt | -5998406 | WHITE, GRAY, BLUE | -10023931 | none | ||
| 10166 | Fair Flies Shield Short-Sleeve Tee | -11009284 | TEE, APPAREL, CLOTHING | -15034809 | none | ||
| 9379 | Airbrush #LongLive Portrait With Butterflies Shirt Design | -11614741 | DESIGN, GREEN, ORANGE, BLUE | -15640266 | PORTRAIT, RAINBOW |