Fold 3 - Understanding why coefficient -5997681 was selected
Tag: SPRINGVIBE
Selected Coefficient: -5997681
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -5997681 | 4.012658 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -3557529 | 4.025316 | -1.2.17.7 | -7.17.2.1 (-(7*79^3 + 17*79^2 + 2*79 + 1)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 574252 | 5.000160 | 1.1.13.1 | 1.13.1.1 (493039 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Blouses | No |
| 2047128 | 5.000160 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
These are the training products that have the "SPRINGVIBE" tag (processing sequence 3574). 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 |
|---|---|---|---|---|---|---|---|
| 18120 | Prima Ankle 14 years picturesque | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 8044809 | none | |
| 18108 | Savannah Button Down Shirt Ivory | 574252 | Apparel & Accessories > Clothing > Clothing Tops > Blouses | none | 6571933 | BLACKFRI2022 | |
| 18122 | Ziggy Stardust Bowie Golden Tee | 0 | WOMEN'S CLOTHING | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | |
| 18111 | Zina Plush Sneakers White Tan Leather New | 0 | SNEAKERS | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | |
| 18128 | Le Garcon Mid Rise Boyfriend in Galeston | -3557529 | 28, HOLIDAY SHOP | 2440152 | BLACKFRI2022 | ||
| 18116 | Angel Tee Black | -5997681 | LONG SLEEVE, SHORT SLEEVES | 0 | none | ||
| 18115 | Angel Tee Bunny | -5997681 | LONG SLEEVE, SHORT SLEEVES | 0 | none |