Fold 4 - Understanding why coefficient -3451273 was selected
Tag: MARBLE
Selected Coefficient: -3451273
Taxonomy Path: -0.0.0.7
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| -3451273 | 4.000002 | -0.0.0.7 | -7.0.0.0 (-(7*79^3)) | Yes | |
| 0 | 4.000002 | 0 | 0 (0) | No | |
| 911437 | 4.000002 | 14.3.67.1 | 1.67.3.14 (493039 + 67*79^2 + 3*79 + 14) | Home & Garden > Decor > Vases > Bud Vases | No |
| 1404476 | 4.000002 | 14.3.67.2 | 2.67.3.14 (2*79^3 + 67*79^2 + 3*79 + 14) | Home & Garden > Decor > Vases > Floor Vases | No |
| 493054 | 5.000000 | 15.0.0.1 | 1.0.0.15 (493039 + 15) | No | |
| 2047128 | 5.000000 | 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 "MARBLE" tag (processing sequence 4544). 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 |
|---|---|---|---|---|---|---|---|
| 2336 | Marble White Slim Jeans | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 5498401 | Apparel & Accessories > Clothing > Pants > Trousers | none |
| 19183 | Orbit Vase | 1404476 | Home & Garden > Decor > Vases > Floor Vases | none | 4855749 | none | |
| 19311 | The Laya Vessel White - Small | 911437 | Home & Garden > Decor > Vases > Bud Vases | none | 4362710 | none | |
| 18971 | Brass and Marble Supper Table | 493054 | TABLE | 3944327 | none | ||
| 18837 | Berlin Table Set -634 | 0 | CENTER TABLE | 3451273 | none | ||
| 2335 | Marble Twist Front Top | -3451273 | TOPS | 0 | none |