Fold 4 - Understanding why coefficient 1972156 was selected
Tag: NAMES
Selected Coefficient: 1972156
Taxonomy Path: 0.0.0.4
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 1972156 | 8.000004 | 0.0.0.4 | 4.0.0.0 (4*79^3) | Yes | |
| 0 | 8.000006 | 0 | 0 (0) | No | |
| 5997681 | 9.000002 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 4025525 | 9.000006 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| -1591535 | 11.000000 | -1.1.18.3 | -3.18.1.1 (-(3*79^3 + 18*79^2 + 79 + 1)) | No | |
| 10023206 | 12.000000 | 2.2.26.20 | 20.26.2.2 (20*79^3 + 26*79^2 + 2*79 + 2) | No | |
| 10023931 | 12.000000 | 16.11.26.20 | 20.26.11.16 (20*79^3 + 26*79^2 + 11*79 + 16) | No |
These are the training products that have the "NAMES" tag (processing sequence 2113). 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 |
|---|---|---|---|---|---|---|---|
| 5502 | Airbrush Pet Portrait With Purple Design | 10023931 | DESIGN, CAT, BOX, ANIMAL | 8051775 | none | ||
| 5521 | Airbrush Pet Portrait With Purple Design | 10023206 | DESIGN, CAT, ANIMAL | 8051050 | none | ||
| 5522 | Airbrush Pet Portrait Design | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, WHITE, CAT, ANIMAL | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none |
| 9360 | Airbrush Green Pet Portrait Shirt Design | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, WHITE, CAT, ANIMAL | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none |
| 5534 | Airbrush Pet Portrait Shirt Design | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | DESIGN, WHITE, CAT, ANIMAL | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | NEON YELLOW |
| 5412 | Airbrush Birthday B*tch With Butterflies Design | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | 80S, 90S | 2053369 | none | |
| 9361 | Airbrush Pet Portrait Shirt Design | 1972156 | DESIGN, WHITE, ANIMAL | 0 | none | ||
| 5512 | Airbrush Pet Portrait With Green Design | 1972156 | DESIGN, GREEN, WHITE, CAT, ANIMAL | 0 | none | ||
| 9359 | Airbrush Cat Portrait Shirt Design | 1972156 | DESIGN, WHITE, ANIMAL | 0 | NEON YELLOW | ||
| 5511 | Airbrush Pet Splatter Portrait Design | 0 | DESIGN, ORANGE, SPLATTER, BLUE, ANIMAL | -1972156 | none | ||
| 5509 | Airbrush Pet Portrait With Blue Design | 0 | DESIGN, GRAY, BOX, BLUE, ANIMAL | -1972156 | none | ||
| 5510 | Airbrush Pet Portrait With Rainbow Design | -1591535 | DESIGN, ORANGE, BLUE, ANIMAL | -3563691 | NEON YELLOW, RAINBOW | ||
| 5513 | Airbrush Pet Portrait With Blue Design | -1591535 | DESIGN, WHITE, ORANGE, CAT, BLUE, ANIMAL | -3563691 | TAN |